through: (-2,-4), perp. to y= -1/2x

Answers

Answer 1

Answer:

y = 2x

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So the slope is 2

m = 2, y = -4, x = -2

y = mx + b

-4 = 2(-2) + b

b = -4 + 4

b = 0

y = 2x


Related Questions

Factor as the product of two binomials. x 2 + 3 x − 4

Answers

Answer:

[tex](x-1)(x+4)[/tex]

Step-by-step explanation:

Given:

[tex]x^2+3x-4[/tex]

The best way to write a polynomial with three terms as a product of binomials is to FACTOR!

The middle number is 3 and the last number is -4.

Factoring means we want something like

[tex](x+?)(x+?)[/tex]

We need two numbers that...

ADD together to get 3 and

MULTIPLY together to get -4

Test the numbers -1 and 4:

[tex]-1+4=3\\(-1)4=-4[/tex]

These are the right numbers! Now, I can write them as factored binomials!

[tex](x-1)(x+4)[/tex]

3. Log(x) +2= log(y) Which is larger x or y and by how much?​

Answers

Answer:

y is 100 times larger than x

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

Use identities

[tex]log (a) + log (b) = log (ab)[/tex],[tex]a = log (10^a)[/tex],If  [tex]log (a) = log (b)[/tex], then a = b.

Rewrite and compare

log (x) + 2 = log (y)log (x) + log (10²) = log (y)log (x) + log (100) = log (y)log (100x) = log (y)100x = yy = 100x

y is greater by 100 times

Which shows (3^2)^-2 in standard form

Answers

Answer:

1/81

Step-by-step explanation:

[tex](3^2)^{-2}=3^{-4}=\frac{1}{3^4}=\frac{1}{81}[/tex]

One-stray Problem Solving
POSSIBLE POINTS: 5.88
A rectangular playground is to be fenced in using a wall on one side and 210 meters of fencing for the other three sides. The area A(z) in square meters
of the playground is a function of the length z in meters of the side parallel to the wall.
What is the area of the playground when z = 50?
square meters

Answers

a) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.

Find the area of the triangle
3 m
8 m

Answers

answer :: 12m^2
area - 1/2 x 3 x 8

Answer:

3×8 =24

24÷2=12

Area of triangle=12m²

Step-by-step explanation:

3×8 =24

24÷2=12

1. Suppose we have two consecutive odd integers. If the smaller one is “x” ; what would we call the large one?
2. We are told there are two consecutive odd integers and the smaller one is 12 more than one third the large one. Use the answer to problem 1 to write a clean equation then find the integers

Answers

Main Answer:1) (x + 2)

                     2) The numbers are 19 and 21.

Concept and definitions should be there:

An odd integer n is an integer which is not a multiple of 2 (or equivalently one more than a multiple of 2). The odd integers are ..., -5, -3, -1, 1, 3, 5, ... Every odd integer can be written in the form 2k + 1 for some unique integer k.

The product of any two odd integers is odd and the result of a division where both the dividend and the divisor are odd is odd. But the sum and difference of any two odd integers are even.

The sum and difference of an even integer and odd integer are odd. Besides 2, all prime numbers are odd. Also, odd integers are really cool

This article is a stub. Help us out by expanding it.

Given data:

1) We have two consecutive odd integers.

Solving part:

Remember that the distance between any two consecutive odd numbers is 2.

5 - 3 = 2

7 - 5 = 2

13 - 11 = 2

etc.

So if the smaller of the two odd numbers is x, then the larger one will be (x + 2).

Given that:

2) We have two consecutive odd numbers, let's write them as:

Solving part:

(2*n + 1) and (2*n + 3)

Where n is an integer number.

We know that the smaller one is 12 more than one third of the larger one, so we have:

(2*n + 1) = 12 + (2*n + 3)/3

Now we can solve this for n

2*n + 1 = 12 + (2/3)*n + 1

2*n - (2/3)*n = 12 + 1 - 1

(4/3)*n = 12

n = (3/4)*12 = 9

n = 9

Then the two consecutive odd integers are:

(2*n + 1) = (2*9 + 1) = 19

(2*n + 3) = (2*9 + 3) = 21

Final Answer:1) (x + 2)

                      2) The numbers are 19 and 21.

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1 2/3 + 3 3/4 as a fraction

Answers

Answer:

5/3 + 15/4 are the fractions

Find the ending
balance:
$2,500 for 25 years at
2.75% annual simple
interest
Show work

Answers

Answer:

$4,218.75

Step-by-step explanation:

The formula for computing simple interest I on a principal amount P for t years at an interest rate of R% is given by

I = Prt

The ending balance amount is found by adding the principal to the interest computed

Ending balance = P + I

Here r is the interest rate in % converted to a decimal. This is done by dividing by 100

r = R/100 = 2.75%/100 = 0.0275 per year

I = 2500 x 0.0275 x 25 = 1718.75

So interest I = $1718.75

Ending balance = $2,500 + $1718.75 = $4,218.75

what is the value of x?
help would be so appreciated

Answers

Answer:

x = 23

Step-by-step explanation:

The two angles are supplementary angles.

Supplementary angles sum 180°

(6x+4) + 38 = 180

6x + 42 = 180

6x = 180 - 42

6x = 138

x = 138/6

x = 23

Check:

6*23  + 4 + 38 = 180

138 + 42 = 180

Answer:

x = 23

Step-by-step explanation:

We know that the sum of angles of a linear pair is always equal to 180°. These angles are also known as supplementary angles.

[tex]\bf 6x+4+38^o=180^o[/tex] (Add numbers)

[tex]\bf 6x+42=180[/tex] (Simplify)

[tex]\bf 6x+42-42=180-42[/tex](Subtract both sides by 42)

[tex]\bf 6x=138[/tex] (Simplify)

[tex]\bf \cfrac{6x}{6}=\cfrac{138}{6}[/tex] (Divide both sides by 6)

[tex]\bf x=23[/tex]

Therefore, x = 23.

_____________________

Hope this helps!

Have a great day!

China generated 237.188 billion kilowatt-hours (kWh) of wind energy in 2018. The population in China in 2018 was 1.379 billion. What was the wind energy generated per capita? Give your answer to the nearest hundredth.

Answers

Answer:

172 kilowatts.

Step-by-step explanation:

Energy : 237.188 billion = 237,188,000,000 = 2.37188 × 10¹¹

People : 1.379 billion = 1,379,000,000 = 1.379 × 10⁹

Divide both values : 2.37188 ÷ 1.379 = 1.72; 10¹¹ ÷ 10⁹ = 10² ⇒ 1.72 × 10² or 172 kilowatts.

can someone please explain this

Answers

Answer: x=-3-[tex]\sqrt{7}[/tex] or x=-3+[tex]\sqrt{7}[/tex]

Step-by-step explanation:

f(x)=x+1. g(x)=x+5

(f * g)(x)=

f(x)*g(x)=

(x+1)(x+5)=

x^2+5x+x+5=x^2+6x+5

x^2+6x+5=3

x^2+6x+9=7 ==> Add 4 on both sides of the equation

(x+3)^2=7

x+3=[tex]\sqrt{7}[/tex]

x=-3+[tex]\sqrt{7}[/tex]

x+3=-[tex]\sqrt{7}[/tex]

x=-3-[tex]\sqrt{7}[/tex]

Which fraction is greater, 35/109 or 36/104?? To explain your answer, use our definition of fraction along with reasoning other than finding common denominators, common numerators, cross-multiplying, or converting to decimals.

Answers

The fraction that is greater is 36/104 since 34.62% is greater than 32.11%

Percentages and ratio

Fractions are written as the ratio of two integers. For instance a/b is a fraction.

In order to determine which of the fractions is greater, we will express them as percentage as shown:

35/109 * 100

3500/109

32.11%

Similarly;

36/104 * 100

3600/104

34.62%

Hence the fraction that is greater is 36/104 since 34.62% is greater than 32.11%

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What are all the solutions to the equation 10x4 + 30x3 + 35x2 = 0? 0, StartFraction 3 + i StartRoot 5 EndRoot Over 2 EndFraction, StartFraction 3 minus i StartRoot 5 EndRoot Over 2 EndFraction. 0, StartFraction negative 3 + i StartRoot 5 EndRoot Over 2 EndFraction, StartFraction negative 3 minus i StartRoot 5 EndRoot Over 2 EndFraction. 0, 6 + 2 i StartRoot 5 EndRoot, 6 minus 2 i StartRoot 5 EndRoot. 0, negative 6 + 2 i StartRoot 5 EndRoot, negative 6 minus 2 i StartRoot 5 EndRoot.

Answers

The solutions to the equation 10x⁴ + 30x³ + 35x² as required in the task content are; 0, (-3 + i√5)/2, and (-3 - i√5)/2.

What are all the solutions to the equation 10x⁴ + 30x³ + 35x² = 0 as given in the task content?

It follows from the task content that the given equation is; 10x⁴ + 30x³ + 35x² = 0.

Hence, to find all the solutions of the equation, one must factorise the expression on the left hand side so as to obtain the factors as follows;

10x² (x² + 3x +3.5) = 0

Hence, we have;

10x² = 0; x = 0 OR

x² + 3x +3.5 = 0.

Hence, it follows from the quadratic formula that the roots/zeroes of x in the equation above can be evaluated as follows;

x = {-b±√(b²-4ac)}/2a

hence, by comparison, we have;

x = {-3±√(9-14)}/2

x = (-3 ± √-5)/2

x = (-3 ± i√5)/2

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GIVING BRAINIEST IF CORRECT!!!!


Multiply and express in simplest radical form.

Answers

The answer is:

8 + 13 square root 6

Random means by chance.
O True
O False

Answers

Answer:

True

Step-by-step explanation:

Because you never expect when something may show up once your doing something and forget about what you lost a while back. Sometimes it just pops up and we're like, "Oh that's where it was".

Can't say true or false because both can be answers in different cases, mathematically speaking you can select one thing from a set of similar things having similar chance to be selected. and again you can also select one thing at random from a set of things having different chance of being selected. in my perspective:)

and maybe the question has more chance to be false because if a statement is false at least in one case it is false.

NEEEEED HELP ASAP!!!

Answers

Answer:
Area= 8,104mm^2
Perimeter=460mm


Explanation:

For area: find area for both rectangles and add together

You’ll get 6370 and 1734 because (49x130) and (51x34) add and get 8104mm^2 (squared because it’s area

Perimeter: add all outside lengths

51+34+100+130+49+96=460mm

Express 60 of its prime factors in assessing order and answer in index form

Answers

Answer:

2^2×3×5

Step-by-step explanation:

hope this works :)

I just need the answer for C. Please answer quick this is due tmr morning!! worth 20 points and brainliest

Answers

Answer:

The answer is 7 for C.

Step-by-step explanation:

7+7=14 and 7x7=49

The diamond just asks for numbers that make up a pattern for the two given numbers.

Find an equation for the line which passes through (-2,8) and is perpendicular to the line containing (0,1) and (4,5).

Answers

The equation of line which passes through (-2, 8) and perpendicular to the line conatining (0, 1) and (4, 5) is y = -x + 6 .

Let the equation of line passes through the point (-2, 8) be y = mx + b.

Where m is the slope of the line and b is the y intercept of the line.

According to the given question.

A line passes through the points (-2, 8).

And it is also perpendicular to the line containing (0, 1) and (4, 5).

Since, the line is perpendicualr to the line conatining (0, 1) and (4, 5).

So, the slope of the line whose equation is to be find is given by

m = -1/(5 - 1/4-0)

⇒ m = -1/4/4 = -1

Thereofre, the equation of line with slope -1 is

y = -1x + b

Also, it passes through (-2, 8)

So,

8 = -1(-2) + b

⇒ 8 - 2 = b

⇒ b = 6

Thereofore, the equation of line which passes through (-2, 8) and perpendicular to the line conatining (0, 1) and (4, 5) is y = -x + 6 .

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Carlos is paid $17.90 per hour regularly. If he worked 45 hours last week, what was his gross pay? Carlos is paid at time-and-a-half for overtime.

Answers

Answer:

$ 850.25

Step-by-step explanation:

I will assume anything over 40 hours is 'overtime'

total pay will be

   regular pay    +   overtime pay

 17.90 * 40 hr    +   (17.90 * 1.5)(5hr) = $ 850.25

Find the quotient.
h6 ÷ h

Answers

Answer:

6

Step-by-step explanation:

Possibly 6 but if not let me know

Answer:

6

Step-by-step explanation:

the h's cancel out

Two consecutive positive integers such that the square of the second integer added to 4 times the first is equal to 41

Answers

Answer:

4 and 5

Step-by-step explanation:

We need 2 positive numbers that are right beside each other, like 1 and 2. When the problem is translates into number format we get:

y^2+4x=41

x = 1st # and y = 2nd #

so if we do 4 (x) and 5 (y)

5^2+4(4)=41

the statement is true.

Please help I will give you brainliest

Answers

Answer:

$7.4

each bag of milk cost $7.4

Answer: $7.4

Step-by-step explanation: i did this and i remember it!

6) Convert the following equivalent scales to ratios.
(i) 1cm=20m

Answers

Answer:

[tex]1cm = 20 \times 100 \\ = 2000cm \\ 1cm = 2000cm[/tex]

Which table represents y as a function of x?

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

An equation represents a represents only when there is a unique value of x for every value of y. when it represents u as a function of x.

i.e if we draw lines parallel to y axis and it cuts the curve two or more than two times at a particular value of x then it doesn't represent a function at all.

And as we can see in the given tables,

1.) 12.23 is the value of x for both 5.4 and 6.4

2.) 0.31 is the value of x for both 55 and 59

4.) 20 is the value of x for both 245 and 255

So, the only table representing y as a function of x is table 3.

Answer:

table 3 is correct i took the test

Step-by-step explanation:

50 POINTS The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.

A=h(a+b)/2

Solve for b.

Answers

Answer:

[tex]\mathrm{b = 2\frac{A}{h} - a}[/tex]

Translation:

Option C.

option c is the answer

18x - 3
6 + 25x

does anyone know?

Answers

1. 18x-3= -54
2. 6+25x=31

Hall dimensions 200m by 85m. Diagram office wall scale 1:40. What are the dimensions of floor space in cm

Answers

The dimensions of floor is 500 cm by 212.5 cm

HOW TO FIND DIMENSION OF HALL ?

Multiply the width and length of each rectangle to find its area. The areas of each rectangle are then added up to determine the total area. In the event that your room is L-shaped, for instance, this can be split into two rectangles. Additionally, this method still works in a complicated room.

CALCULATION

500 cm by 212.5 cm

Given :

The main arena hall has dimensions 200 m by 85 m.

On a large diagram on the office wall the scale is 1:40.

Length of arena hall = 200 m

Scale is 1:40

So, the length of the floor =

Since 1 m = 100 cm

So, 5 m = 100*5 = 500 cm

Width of arena hall  = 85 m

So, width of floor =[tex]\frac{85 * 1}{40}[/tex]  =  2.125m

Now 1 m = 100 cm

So, 2.125 m = 212.5 cm

Thus the dimensions of floor is 500 cm by 212.5 cm

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based on the equation 5×x+860=2×x+380, you can say​

Answers

The value of x is -160.

An equation in which the power of any variable is not more than one is called a linear equation.

Here, we are given a linear equation as follows-

5 × x + 860 = 2 × x + 380

⇒ 5x + 860 = 2x + 380

Let us solve the given equation-

Subtracting 2x from both sides, we get

5x - 2x + 860 = 2x - 2x + 380

3x + 860 = 380

Subtracting 860 from both sides-

3x + 860 - 860 = 380 - 860

3x = -480

dividing both sides by 3,

3x/3 = -480/3

x = -160

Thus, the value of x comes out to be -160.

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Answer this question please

Answers

What question? Did you send a picture?
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