All categories

3 years ago

What is the slope-intercept form of the linear equation 2x–8y=322x–8y=32 ?

Mathematics

1 answer:

gladu [14]3 years ago

5 0

2x - 8y = 32
-8y = -2x + 32
y = (-2/-8)x - 32/8
y = 1/4x - 4 <== slope intercept form

You might be interested in

A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the g

astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

5 0

2 years ago

If you are asked to provide a set of two or more numeric answers, separate them with commas. For example, to provide the year th

garik1379 [7]

Answer: Perimeter = 66 cm and area = $66\ m^2$

Step-by-step explanation:

The perimeter of rectangle is given by :-

$P=2(l+w)$ , where l is length and w is width of the rectangle.

Given : A rectangle has a length of 5.50 m and a width of 12.0 m .

Then, the perimeter of rectangle :

$P=2(12+5.50)\\\\\Rightarrow\ P=2(17.50)=35\ m$

Also, area of rectangle is given by :-

$A=l\times w=5.50\times12=66 \ m^2$

Area of rectangle = $66\ m^2$

3 0

3 years ago

Rafael counted a total of 40 white cars and yellow cars there were 9 times as many white cars as yellow how many white cars did

Paladinen [302]

Answer:

Uhhhh si he counted 40 cars so just do 40 times 9 which is 360

6 0

3 years ago

Read 2 more answers

Which of the following is a solution of y > |x| - 5? a.(4, -1) B.(-1, -4) C.(-4, 1)

Savatey [412]

Fill your inequality in with the y and x provided and then do the math. (4, -1) would fill in like this (I will use brackets to indicate absolute value symbols, since there are none in the equation editor): $-1\ \textgreater \ [4]-5$ The right side is in fact equal to the left side so that's not the answer. For (-1, -4): $-4\ \textgreater \ [-1]-5$ and these are also equal. Let's try C now (-4, 1): $1\ \textgreater \ [-4]-5$ . The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1. So C is our answer.

8 0

3 years ago

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

inn [45]

Answer:

The equation of the straight line in point - slope form

y +1 = -2 ( x-2)

Step-by-step explanation:

Step(i):-

Given points are C( 2,-1) and D(1,1)

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2$

m = -2

Step(ii):-

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

Final answer:-

The equation of the straight line

y +1 = -2 ( x-2)

3 0

3 years ago