Write the equation of a line that passes through point (16,7) with slope 5/4 in point slope form

Answers

Answer 1

Answer: y = 5x/4 - 13

Step-by-step explanation:

y=mx+b

7=5/4 *16+b

7=5*16/4 +b

7=80/4+b

7=20+b

b=-13

y = 5x/4 - 13


Related Questions

I need help with this algebra question ​

Answers

Linear inequality of the given graph is given by option (A) and (C) .

Graphing inequalities is the process of showing which parts of a number line contain values ​​that "satisfy" a given inequality. This inequality plot shows the numbers you can use to replace x and y in the inequality to make the true statement.

(A) y > x /6 +2   ..(1) this line is represented by upper line .

and y ≤ x /4 + 1   ....(2) this line is represented by lower line .

  Let consider a point (2, 3)

Put in equation (1) , we get

  3 > 0.33 +2

  3 > 2.33

which is true so shading will be in lower part of this line .

Put in equation (2) , we get

 3 ≤  0.5 +1

 3 ≤  1.5

which is false so shading will be in opposite direction in upper part of this line.

Hence , there is a common shading area between the lines which is required area .

(b) y <  x /6 +2   ..(1) this line is represented by upper line  and y ≥ x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 < 0.33 +2

  3 < 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  ≥ 0.5 +1

 3 ≥  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

(C)  y ≥  x /6 +2   ..(1) this line is represented by upper line  and y < x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≥  0.33 +2

  3 ≥  2.33

which is true so shading will be in direction to the point in lower part of this line .

Put in equation (2) , we get

 3  <  0.5 +1

 3 <  1.5

which is is false so shading will be in opposite direction to the point in upper part of this line

Hence , there is a common shading area between the lines which is required area .

(D)  y ≤  x /6 +2   ..(1) this line is represented by upper line  and y > x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≤ 0.33 +2

  3 ≤ 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  > 0.5 +1

 3 >  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

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I need help asap!!!!!!

Answers

Answer:

Second choice: Student failed to square the x part

Step-by-step explanation:

x - 2y = 6 - 2.3 = 0 so that is the only plausible explanation

Answer: The student  failed to square the x² part. This led to calculating x² as six instead 36

A, B & C form the vertices of a triangle, where ∠CAB = 90°.
AB = 10.2 m and AC = 5.6 m.
Evaluate ∠CBA, giving your answer rounded to 3 SF.

Answers

The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

How to find the angle of a right triangle?

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

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If f(x + 3) = x^2 + 4x − 7, find f(2).

Answers

The complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the solution to the quadratic equation?

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, we have

f(x + 3) = x^2 + 4x − 7

To find f(2), we make use of the following comparison

f(2) = f(x + 3)

This means that

2 = x  + 3

Evaluate

x = -1

Substitute x = -1 in f(x + 3) = x^2 + 4x − 7

f(-1 + 3) = (-1)^2 + 4(-1) − 7

This gives

f(2) = -10

Hence, the complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10


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Select the statement that correctly compares two numbers.

4.13 = 4.130
5.16 < 5.06
6.28 < 6.08
7.09 > 7.19

Answers

The correct answer is option A

• In mathematics, comparison of numbers if the process that defines similar properties between two numbers and identifies that the number if smaller or greater than or equal to the other number.

• In maths there are three special symbols used in comparison of numbers. The basic symbols are

1. Greater than (>)

2. Less than (<)

3. Equals to (=)

According to the question

Option A :

4.13 = 4.130

As we know the value of 0 after all the numbers and after the decimal is insignificant,

So , 4.13 = 4.130

This is correct comparison.

Option B :

5.16<5.06

Bigger number can’t be less than the smaller number, comparison is wrong.

Option C :

6.28<6.08

Bigger number can’t be less than the smaller number, comparison is wrong.

Option D:

7.09>7.19

Smaller number can’t be greater than the bigger number, comparison is wrong.

Option A is correct

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What is the distance between points A and B?

Answers

Answer:

6 units

Step-by-step explanation:

решите уравнение 6x-4(x+5)=2,2

Answers

Answer:

x=11.1

Step-by-step explanation:

6x-4x-20=2.2

2x-20=2.2

2x=22.2

x=11.1

all three sides of triangle x'y'z' must be to the corresponding sides in triangle xyz and the corresponding angles are .

Answers

The required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

It is required to find the corresponding angles.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given :

Corresponding angles are

∠X'≅∠X,

∠Y'≅∠Y

∠Z'≅∠Z

Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

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Solve the system by elimination 2x - y = 1 and x - 2y = -1

Answers

Answer:

x = 1 and y = 1

Step-by-step explanation:

Let's solve your system by elimination.

2x − y = 1 and x − 2y = −1

Multiply the second equation by -2, then add the equations together.

(2x−y=1)

−2(x−2y=−1)

Becomes:

2x−y=1

−2x+4y=2

Add these equations to eliminate x:

3y=3

Then solve3y=3for y:

3y=3

3y3=33(Divide both sides by 3)

y=1

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x−y=1

Substitute1foryin2x−y=1:

2x−1=1

2x−1+1=1+1(Add 1 to both sides)

2x=2

2x2=22(Divide both sides by 2)

x=1

Answer:

x=1 and y=1

Answer:x=1, y=1 point (1,1)

Step-by-step explanation:

convert the following angles from decimal degrees to degrees, minutes, and seconds (round to the nearest second). note: you must show all the steps for full credit. a) 45.5013 b) 168.7862 c) 87.2530

Answers

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

DMS to Decimal Degree Conversion:

To translate decimal degrees into DMS, take the following actions:

The whole number portion of the decimal should be used for the degrees.Divide the last decimal by 60 to get the minutes. Employ a whole number.minutes as a portion of the response.Add 60 to the new decimal to account for the seconds.According to the given information:

Converting the following angles from decimal degrees to degrees, minutes, and seconds.

A) 45.5013

The whole number is degrees. So 45.5013 gives you 45degrees.

Multiply the remaining decimal by 60.

0.5013*60 =30.078, so the whole number 30 equals minutes.

Multiply the remaining decimal by 60.

.078*60 = 4.68, so the whole number 4.68 equals seconds.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".

B) Similarly for this 168.7862.

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

C)Similarly for this  87.2530.

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

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Examine the triangles. Two similar triangles. The first triangle has a side length of 6 inches, which corresponds to the second triangle's side of 18 inches. The first triangle has a side length of 11 inches that corresponds to the missing side on the second triangle. If the triangles are similar, what is the length of the missing side? Note: The triangles may not be drawn to scale.

Answers

The length of the missing side of the triangle is 33 inches.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Let the length of the unknown sides of the second triangle be represented by x.

Given that the two triangles are similar triangles, therefore, the length of the corresponding sides will be in the same ratio. Thus, we can write the ratio of the sides of the triangle as,

6 inches / 18 inches = 11 inches / x

x = (11 inches × 18 inches) / 6 inches

x = 33 inches

Hence, the length of the missing side of the triangle is 33 inches.

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Houston has approximately 2.25 million people. Each person has 2 hands and each hand has 5 fingers.
How many fingers are in Huston? Answer in scientific notation.

Answers

22,500,500 million fingers would be the answer
The answer is 2.25x10^7

-2.5 + 5.99 find the sum​

Answers

The answer is 3.49 that’s is the sum

Write a simplified equation for the set of points that are equally far from $(12,0)$ as they are from $(3,0)$.

Answers

12,0$+3,0$=15,0$ its korrect now


Jessica can make a necklace out of beads in 20 minutes. She sells each
necklace for $4.25. If Jessica fills an order for necklaces worth $59.50, how
much time did she spend making necklaces? Show your work.

Answers

Answer:

4h40min

Step-by-step explanation:

necklaces she made

=$59.50/$4.25

=14necklaces

time spent making 14 necklaces

=14x20min

=280min

=4h40min

Answer:

280minutes or 4hours 40minutes

Step-by-step explanation:

Number of necklaces:

$59.50 ÷ $4.25 = 14

Time taken:

14 × 20minutes = 280minutes

Answer Choices are
A. 1
B.0
2.-4
3.2

Answers

According to the graph, The value of f(5) from the graph of f(x) is 1.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

From the graph of f(x), the point C(5, 1) represent the point f(5). The value of f(5) from the graph of f(x) is 1.

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Pls help me PLSPLS #ineedhelp #helpme #isuckatmath

Answers

Answer:

300 ones

Step-by-step explanation:

300 one = 300 of 1 = 300

The other answers are wrong

30 ones = 30 of 1 = 30

3 tens = 3 of 10 = 30

300 tens = 300 of 10 = 3000

it turns out that approximately 20% of the students in the sample already read the book as part of another class. obviously, these students are likely to perform better than students who did not already read the book. assuming that random assignment was used to ensure equivalent groups in the two conditions, this variable (i.e., whether or not subjects already read the book) should be considered:

Answers

The given problem falls under the extraneous type of variable.

What do you mean by an extraneous variable?

To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.

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I WILL CHOOSE THE BRAINLIEST ANSWER!!! What is the area of the backyard that the grass takes up?

Answers

The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

Calculating area

From the question, we are to determine the area of the backyard that the grass takes up

Area of the backyard that the grass takes up

= Area of the backyard - Area of the rectangle pool deck - Area of the circle  pool

Area of the backyard = 6x × 6x

= 36x²

Area of the rectangle pool deck = 2x × x

= 2x²

Area of the circle pool = πx²

Thus,

Area of the backyard that the grass takes up = 36x² - 2x² - πx²

Area of the backyard that the grass takes up = 34x² - πx²

Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

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Write an inequality for the graph

Answers

The absolute value inequality graphed is:

y ≥ |x - 5| + 1

How to write the graphed inequality?

We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:

y ≥ absolute value equation

We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:

|x - 5| + 1

Replacing that in the inequality we will get:

y ≥ |x - 5| + 1

That is the graphed inequality.

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miles per hour. on her way home, she travels at 12 miles per hour. the total travel time is 2 hours. which equation can be used to find the distance in miles from bree’s house to the library? distance (mi) rate (mph) time (hr) trip to library x 6 mph startfraction x over 6 endfraction trip to home x 12 mph startfraction x over 12 endfraction startfraction x over 6 endfraction startfraction x over 12 endfraction

Answers

The equation to calculate the distance will be 12 × 2.

How to compute the equation?

From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.

It should be noted that:

Distance = Speed × Time

Therefore,

Distance = 12 × 2

The distance is 24 miles.

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alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store. how much was her change worth? write the amount using numbers and words.

Answers

Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

For given question,

Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.

The value of coins is all counted in cents.

1 Penny = 1 cent  

1 Nickel = 5 cents  

1 Dime = 10 cents  

1 Quarter = 25 cents

And 1 Dollar = 100 cents

Alita received seven quarters, and five dimes coins as change at the grocery store.

seven quarters = (7 × 25) cents

                         = 175 cents

five dimes =  (5 × 10) cents

                 = 50 cents

The total coins are:

seven quarters, and five dimes

= 175 + 50 cents

= 225 cents

Now we add all change together.

twenty-two dollars, seven quarters, and five dimes

= 22 dollars + 225 cents

= 22 dollars + 2.25 dollars

= 24.25 dollars

= $24.25

Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

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what is the vertex of h(x) = |x| − 2??? please help

Answers

Answer:  (0, -2)

=====================================================

Explanation:

The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.

The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.

So the vertex (0,0) moves down to (0, -2)

The graph is below.

which set of coordinates satisfies the equations 3x - 2y=15 and 4x - y=20

Answers

Answer:

x=5 and y = 0 coordinate = (5,0)

Step-by-step explanation:

solve the simultaneous equation

hope this works :)

The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters

Answers

The sides of the triangle are as  follows:

a = 43 meters

b = 172 meters

c = 341 meters

Given, we have the perimeter of the triangle as 556 meters.

The sides of the triangle are:

a = x meters

b = 4x meters

c = (8x - 3) meters.

we know that perimeter of the triangle = a + b + c

therefore, a + b+ c = Perimeter

x + 4x + (8x - 3) = 556

x + 4x + 8x - 3 = 556

13x - 3 = 556

13x = 556 + 3

13x = 559

x = 559/13

x = 43

hence we get the value of x as 43.

substitute x value in the sides of the triangle to get the orignal values of the sides.

a  = x = 43 meters.

b = 2x = 4 × 43 = 172 meters.

c = 8x - 3 = 8(43) - 3 = 341 meters.

Hence the sides of the triangle are 43 meters , 172 meters and 341 meters.

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please help with these 2 problems in math!!! thank uu!!

(factorize the expressions by regrouping)

Answers

Answer:

Sorry if im wrong but for c put (x+8) x (x+y)

for d put (x+3y-1) x (x+y)

Step-by-step explanation:

=
6 Find the value of y and each
angle if m²SOP -
MZSOR = (5y + 12).
(7y - 12) ° and
My
k
S
Þ
0
Q
6 Fi
an
M

Answers

If angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

Given that m∠SOP=(7y-12)° and m∠SOR=(5y+12)°.

We are required to find the value of y and the angle m∠SOP.

We know that sum of all the angles which lie on the straight line is equal to 180°.

And here m∠SOP and m∠SOR both lie on the straight line PR. So,

m∠SOP+m∠SOR=180

7y-12+5y+12=180

12y=180

y=180/12

y=15

We have to use y=15 in m∠SOP=(7y-12)°.

m∠SOP=7*15-12

=105-12

=93°

Hence if angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

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63+ (2x+8)+(x + 7) = 180

Answers

63+ (2x+8)+(x + 7) = 180

63+3x+15=180

78+3x=180

3x=102

x=34

Hey there!

63 + (2x + 8) + (x + 7) = 180

DROP the PARENTHESES:

63 + 2x + 8 + x + 7 = 180

CONVERT TO:

63 + 2x + 8 + 1x + 7 = 180

COMBINE the LIKE TERMS 1:

71 + 3x + 7 = 180

COMBINE the LIKE TERMS 2:

78 + 3x = 180

3x + 78 = 180

SUBTRACT 78 to BOTH SIDES:

3x + 78 - 78 = 180 - 78

SIMPLIFY IT:

3x = 180 - 78

3x = 102

DIVIDE 3 to BOTH SIDES:

3x/3 = 102/3

SIMPLIFY IT:

x = 102/3

x = 34

Therefore, your answer should be:

x = 34


Good luck on your assignment & enjoy your day day!


~Amphitrite1040:)

9.45 10^6 divided by 2

Answers

Answer:

Step-by-step explanation:

Comment

For this particular problem, the 10^6 will not be affected. All you have to do is divide 9.45 by 2. When you do that, you get

9.45/2 = 4.725

Now add on the 10^6

The answer is 4.725 * 10^6

Personally, I would likely round this to 4.73 because you were given 3 digits of accuracy, so you should give your answer as 3 digits.

If 25% of a number is 75 and 35% of the same number is 105, find 10% of that number.​

Answers

Answer:

30

Step-by-step explanation:

to find 10%, find 100% first

because we know what 25% is, the easiest way we can work this out is multiply 25% by 4

so:

[tex] 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300[/tex]

this means that 100% is 300.

now to find 10% all we have to do is divide the number by 10.

[tex]300 \div 10 = 30[/tex]

so 10% is 30

to check we're right, we make sure that 25% and 10% = 35%

75 + 30 = 105, meaning our percentages are correct

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