What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

Answers

Answer 1

Answer:

The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is  [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]

Step-by-step explanation:

We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.

The equation will be of form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding slope of the line:

Since both the lines are parallel, and we know that parallel lines have same slope.

The slope of given line [tex]5x+4y=16[/tex] can be found by writing in slope-intercept form [tex]y=mx+b[/tex]

[tex]5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16[/tex]

Comparing with [tex]y=mx+b[/tex] the slope m is: [tex]m=-\frac{5}{4}[/tex]

So, the slope of required line is: [tex]m=-\frac{5}{4}[/tex]

Now, finding y-intercept b

y-intercept can be found using slope [tex]m=-\frac{5}{4}[/tex] and point (8,-7)

[tex]y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3[/tex]

So, we get y-intercept: b=3

Now, the equation of required line having slope [tex]m=-\frac{5}{4}[/tex] and y-intercept b=3 is:

[tex]y=mx+b\\y=-\frac{5}{4}x+3[/tex]

So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]


Related Questions

Please help! 100 points and brainlieast if you can help!

Answers

Answer:

1. 38 oz / 2 lbs 6 oz

2. 254 in / 7 yd 2 in

3. 21 pt / 3 gal 2 qt 1 pt

4. 18,480 ft / 3 mi 2,640 ft

5. 180 oz / 6 lbs 12 oz

6. 525 s / 8 min 45 s

7. 318 in / 8 yd 2 ft 10 in (9.99996 inches not simplified)

8. 9 pt / 4 qt 1 pt

9. 15,885 s / 4 hr 24 min 45 s

The first answers are the ones I got originally and the second answers are the simplified ones.

need the answer now pls

Answers

Answer:

35x-35y

Step by step explanation: I

0.5(20x-50y+36)-0.25(100x+40y-12)

10x-25y+18+25x-10y+3 -------- after we distribute 0.5&-0.25

10x+25x-25y-10y+18+3. ---------we collect the like terms to add them or substract

35x-35y+21 -----------------------------simplified form

Answer:

35x-35y

Step-by-step explanation:

simply simplify both sides then subtract

Which sentence has modifiers in the right place to make its meaning clear?

A. 

Every year, we bought a homemade apple pie at a little store that cost only $5 on the road to the cabin.

B. 

Every year, we bought a homemade apple pie that cost only $5 at a little store on the road to the cabin.

C. 

Every year, we bought a homemade apple pie at a little store on the road to the cabin that cost only $5.​

Answers

The correct answer is B. Every year, we bought a homemade apple pie that cost only $5 at a little store on the road to the cabin.

Explanation:

In the sentences presented the section "that cost only $5" is a modifier because this describes the noun "homemade apple pie". Moreover, this modifier should be placed right after the noun it describes to clarify the "$5" refer to the cost of the pie.

This occurs in option B "a homemade apple pie that cost only $5" because this places the modifier after the noun, and this makes the sentence to be clear. On the other hand, in other options the meaning is confusing. For example in A "a homemade apple pie at a little store that cost only $5," it is not clear if the cost refers to the apple or the store.

Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.



What are the values of x and y?

Answers

Answer:

x=25°

y=25°

Step-by-step explanation:

E^+F+EG^F=180°(sum of int. angles of triangle)

x+35+90+30=180

x=180-90-30-35

×=25

HE^G+H+G=180° (sum of int. angles of triangle)

35+30+y+90=180

y=180-90-35-30

y=25

how do I solve this?​

Answers

Answer:

a

Step-by-step explanation:

its 6 loses over 14 wins

Which expression can be used to find 7
-6
?
7(-6) +7
7(-6) +7
7(6) + 7
7(6) + 7
()

Answers

hey the answer is
-42 7/8
Explanation- Got it right
hope it helps !

Answer:

-42/7

Step-by-step explanation:


Find the gradient of the line segment between the points (1,2) and (3,-8)

Answers

Answer:

Every number of years 365 and I have been trying

The gradient of the line segment between points (1, 2) and (3, -8) will be -5.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(1, 2) and (3, -8)

Then the gradient of the line segment will be given as,

m = (- 8 - 2) / (3 - 1)

m = - 10 / 2

m = - 5

The gradient of the line segment between points (1, 2) and (3, -8) will be -5.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

What does it mean to be sad and lonely

Answers

Answer: It means depression

Step-by-step explanation:

Answer:

Being sad means your body has entered a mini-clinical state, bringing back grief and usually making you remember past traumas for no existential reason. Sadness can drive you to feeling alone - not isolated, but alone with your inner thoughts. Your interior feeling cold, and like no one is there to put their hand out and help you become warm again. Sadness can drive you to loneliness, and loneliness can lead you to depression. Depression inverts your brain waves and makes you feel useless, no-good, nothing useful, just a joke.  

HELP ASAP PLEASE
What is the equation of the line tangent to the function f(x) = 1 – x2 at x = –3?
y = 6x + 10
y = 6x + 26
y = –6x – 8
y = –6x – 26

Answers

Plug the formula into Desmos and even just visually

C.  " y = -6x - 8

is the answer

The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the function is,f(x) = 1 – x²

We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.

Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.

Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

You are given the functions f(x) and g(x) = sin^-1(fx). Which of the following expressions represents the ratio of the derivatives of these two functions, f'(x)/g'(x)? Assume that the domain of g(x) is -pi/2 < f(x) < pi/2.

A. f'(x)/g'(x) = 1/(sqrt( 1 - (f(x))^2 )
B. f'(x)/g'(x) = 1/(sqrt( 1 + f(x) )
C. f'(x)/g'(x) = (sqrt( 1 - (f(x))^2 )
D. f'(x)/g'(x) = (sqrt( 1 - f(x) )
E. f'(x)/g'(x) = (sqrt( 1 + f^2(x) )

Answers

Answer:

C

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) \text{ and } g(x)=\sin^{-1}(f(x))[/tex]

And we want to find the ratio that represents:

[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}[/tex]

To do so, we will compute the derivatives of both functions.

For f,  we can simply write that:

[tex]f^\prime(x)=f^\prime(x)[/tex]

For g, we will use the chain rule:

[tex]\displaystyle (u(v(x))^\prime=u^\prime(v(x))\cdot v'(x)[/tex]

We can let:

[tex]u(x)=\sin^{-1}(x)\text{ and } v(x)=f(x)[/tex]

We can double check this by doing the composition:

[tex]g(x)=u(v(x))=\sin^{-1}(f(x))[/tex]

Therefore, by the chain rule, we acquire that:

[tex]\displaystyle g^\prime(x)=\frac{1}{\sqrt{1-(v(x))^2}}\cdot v'(x)[/tex]

By substitution:

[tex]\displaystyle g^\prime(x)=\frac{f^\prime(x)}{\sqrt{1-(f(x))^2}}[/tex]

Hence, our ratio is:

[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\frac{f^\prime(x)}{\dfrac{f^\prime(x)}{\sqrt{1-(f(x))^2}}}[/tex]

Simplify:

[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\sqrt{1-(f(x))^2}[/tex]

Hence, our answer is C

Answer:

This isn't the answer as you can see it above, but do you have the rest of the questions?

Step-by-step explanation:

Thank you in advance.

5)
Write the following in function notation.
y = 3x - 10
A)
x = 3y - 10
B)
f(x) = 3y - 10
C)
f(x) = 3x - 10
D)
f(y) = 3x - 10

Answers

Answer:

C

Step-by-step explanation:

The cost to join a yoga studio is 100$, plus 25$ per month. What is the cost of the first 8 months at the yoga studio?

Answers

I believe it is 275$ but not certain

Or maybe me and you as 2 yeah

Ramon recorded how many miles he biked each day in the table.



Distance (mi) Frequency
1 2
2 2
3 4
4 4
5 2
6 2
Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots.

Answers

Answer:

Please check the attached graph below.

Step-by-step explanation:

We know that a dot plot illustrates a visual display of data using dots.

Given that Ramon recorded how many miles he biked each day in the table, such as:

Distance (mi)              Frequency

1                                    2

2                                   2

3                                   4

4                                   4

5                                   2

6                                   2

The dot plot of data points plotted as dots on a graph with an x- and the y-axis is attached below.

Answer

got the quiz right

Step-by-step explanation:

     x x

     x x

x x x x x x

x x x x x x

Redondea ala décima: 0.985​

Answers

Answer:

0.990

Step-by-step explanation:

Solve the inequality –1 > –2(x – 4) – 5(4x – 7).

Answers

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]

[tex]–1 > –2x + 8 –20x + 35[/tex]

[tex]–1 > - 22x + 43[/tex]

[tex] - 1 - 43 > - 22x[/tex]

[tex] - 44 > - 22x[/tex]

[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]

[tex]2 < x[/tex]

[tex]x > 2[/tex]

A basketball player attemps 15 baskets in a game he makes 9 attemped baskets. Witch ratio describe the nuber of basketsthe player made to th number of baskets the player attemped

Answers

9:15 is the ratio or 9 over 15 fraction form

please help me to solve the problem ​

Answers

Answer:

This is the simplest form

Step-by-step explanation:

I don't think further simplification is possible

Please answer quickly! will give brainiest. (100 points!!)
1. What is the measure of angle x?
A. 30
B. 90
C. 45
D. 60

2. What is the ratio of the sides for triangle XYC?
A. 1:1:2
B. 1:1:3
C. 1:2:2
D. 1:2:3

3. What is the length of segment AB?
A. 20/3cm
B. 20cm
C. 10cm
D. 10/3cm

4. What is the length of segment XY?
A. 10cm
B. 5cm
C. 10/2cm
D. 5/2cm

Answers

Answer:

1. 30°

2. [tex]1:1:\sqrt{2}[/tex]

3. 20cm

4. 5cm

Step-by-step explanation:

for the first one:

we have the triangle RVT and we know that

[tex]\angle V = 90\\\\\angle R = 60[/tex]

so [tex]\angle T[/tex] [tex]+ \angle V+\angle R[/tex] = 180

so

[tex]\angle T = 30[/tex]

for the second one

we know by specials right triangles that the sides are

[tex]x:x:x\sqrt{2}[/tex]

divide by x and get

[tex]1:1:\sqrt{2}[/tex]

for the third one

again by 30-60-90 triangle we know that

[tex]2BC=AB\\\\2(10)=AB\\\\AB=20[/tex]

for the fourth one

here we can use excersie 3 and the ratio of XY:YC = 1:1

that means they are equal so

XY=YC

XY = 5

56.13 value of 5what is the value of 5

Answers

Answer:

5=tens

6=ones

1=tenths

3=hundredths

Hope this helps

Step-by-step explanation:

What is the determinant of the coefficient matrix of the system?
please help!!!

Answers

Answer:

Third option: 0

Step-by-step explanation:

edge2020

Answer:

The answer is 0!

Step-by-step explanation:

edge 2021

Can someone tell me the answer to me pls I have to be done in 20 minutes ​

Answers

Answer:

x = 9.25

Step-by-step explanation:

It is given that ABC is an isosceles triangle.

m∠A = 43° and m∠C = (6x+13)°

We need to find the value of x.

The sum of a triangle is equal to 180°.

∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°

∠A+∠B +∠C=180

43+∠B+(6x+13)°=180

6x+∠B+56=180

6x+∠B = 124

∠B =124-6x

For an isosceles triangle,

∠B = ∠C

124-6x = (6x+13)

124-13 = 6x+6x

111 = 12x

x = 9.25

So, the value of x is 9.25.

PLEASE I REALLY NEED HELP

Please please please

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.

Answers

Answer:

Number of small boxes purchased : 2

Number of large boxes purchased : 5

Step-by-step explanation:

Let,

x be the number of small boxes of nails purchased

y be the number of large boxes of nails bought

Then according to given statement;

50x+350y = 2550     Eqn 1

y = x+5        Eqn 2

Putting value of y from Eqn 2 in Eqn 1

50x + 350(x+5) = 2550

50x + 350x + 1750 = 2550

400x = 2550-1750

400x = 800

Dividing both sides by 400

[tex]\frac{400x}{400}=\frac{800}{400}\\x=2[/tex]

Putting x=2 in Eqn 2

y = 2+5

y = 7

Hence,

Number of small boxes purchased : 2

Number of large boxes purchased : 5

In 1998, Hurricane Bonnie approached the United States at a speed of 8 miles per hour. The function y = 8x describes how many miles y Hurricane Bonnie traveled x hours. Use the graph to estimate how far the hurricane traveled in 2.5 hours.

Answers

Answer:

20 miles

Step-by-step explanation:

Given the equation of the line of the graph, y = 8x, where,

y = distance the hurricane travelled in miles

x = time of travel in hours

8 = slope/speed in miles/hour

To find how far the hurricane travelled in 2.5 hours, substitute x = 2.5 into y = 8x

This:

y = 8(2.5)

y = 20 miles

Thus, from the graph, we can estimate this also. On the x-axis, between 2 and 3, we have 2.5 hours. The corresponding value of x = 2.5 is y = 20.

From a list of 100 grade 12 students numbered 00 to 99, a sample of ten is taken. For each example below, identify what sampling method was used. Justify your choices.
a. 7, 17, 27, 37, 47, 57, 67, 77, 87, 97
b. 30, 31, 32, 33, 34, 35, 36, 37, 38, 39
c. 25, 21, 29, 28, 20, 52, 54, 50, 57, 51
d. 5, 14, 28, 38, 41, 55, 68, 70, 84,92

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

We used sampling technique to collect samples throughout the instance of Options a and b because here each successive sample frame has the same gap of 10 (in the example) and in 'b' is 1, but we use a simple random sampling in 'b' and 'c' to collect the test because they can't follow any specific pattern from of the collecting systems here.

Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box.


How many boxes were left over?

a.1/2 ​box

b.3/5 box

c.5/6 box

d.1 2/5 boxes

Answers

Answer:

5/6 of a box is left over.

Step-by-step explanation:

2 - 1/2 - 2/3 = 0.83333333333

0.83333333333 in fraction form is 5/6.

a. -6 + 2x + 4 + 3x - (-2)
What is the answer?

Answers

5x is the answer to this equation

Answer:

5x

Step-by-step explanation:

-6 + 2x + 4 + 3x - (-2)

rearrange to make it easier to solve

2x + 3x - 6 + 4 - (-2)

add like terms, negative time negative is positive

5x - 2 + 2

5x

LEO has $30. He splits it with his sister in the ratio 3:2. How much money does leo have left?​

Answers

18:12 - is the ratio - I don’t know weather 3 or 2 represents Leo so that’s just the amount

Answer:

18

Step-by-step explanation:

what is 1/4 of 7/2...................................

Answers

Answer:

0.875 or 7/8

Step-by-step explanation:

1/4

because it is lesser

if it was greater then

it would be 7/2

A car travels 200 miles using 8 gallons of gasoline. What’s the unit rate in miles per gallon? Please write your work and don’t forget the unit.

Answers

Answer:

25 miles per gallon.

Step-by-step explanation:

The answer is 25 because 200 divided by 8 is 25.

P.S Can I have brainliest?

Which of the folling equals (-19^-12X(-19)^4? -19^-36, -19^-8, -19^16, -19^-3

Answers

Answer:

[tex]\huge\boxed{(-19)^{-8}=19^{-8}}[/tex]

Step-by-step explanation:

Use

[tex]a^n\times a^m=a^{n+m}[/tex]

[tex](-19)^{-12}\times(-19)^4=(-19)^{-12+4}=(-19)^{-8}[/tex]

Answer:

They r correct lol

Step-by-step explanation:

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