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2 years ago

The length of a rectangle is four times its width. if the perimeter of the rectangle is 80yd, find its length and width.

2 answers:

6 0

The length is 8. the width is 32.

32(2) = 64

8(2) = 16

64+16 = 80

So the length would be 8 and the width would be 32 since it's 4 times the length.

Hope this helped!

ivann1987 [24]2 years ago

5 0

Lets assume Width=x and Length=Y
y=4x

P= 2(x+y)
80=2(x+4x)
80/2= 5x
40= 5x
x= 8

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Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using

NikAS [45]

Answer:

$y=\frac{1}{3} x+6$

Step-by-step explanation:

$(3,7)(-6,4)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-7}{-6-3}$

$m=\frac{-3}{-9}$

$m=\frac{3}{9}$

$m=\frac{1}{3}$

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula $y=mx+b$ whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

$y=\frac{1}{3} x+b$

Find the y-intercept (b) by using a point and substituting their x and y values

$y=\frac{1}{3} x+b$

Point: (3, 7)

$7=\frac{1}{3} (3)+b$

$7=1+b$

$b=7-1$

$b=6$

Step 3. Write the equation in Slope-intercept form

$y=mx+b$

$y=\frac{1}{3} x+6$

3 0

2 years ago

83/10y-(38/11-11/4y)

IrinaK [193]

Answer:

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Step-by-step explanation:

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3 years ago

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goblinko [34]

Answer:

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Step-by-step explanation:

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2 years ago

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sineoko [7]

Answer:

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Step-by-step explanation:

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3 years ago

How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20

never [62]

There are 5 solutions for this system.

x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6

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3 years ago