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Varvara68 [4.7K]

4 years ago

11

Suppose your friend is having trouble solving the inequality -2(3x-8)<5(4-x). Show each step you would take to solve the ineq

uality, and write an explanation of why you are taking that step.

1 answer:

Molodets [167]4 years ago

7 0

Your answer will be x > <span>−<span>4</span></span>

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A pool measuring 8 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the poo

Ainat [17]

Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients: 1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check: 25*-8 = -200 25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x

x² +17x - 200 = 0

x² + 25x - 8x - 200 = 0

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0 or x - 8 = 0

x = 0 -25 x = 0 + 8

x = -25 x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.

8 0

3 years ago

My teacher says b is wrong

Alex Ar [27]

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3 years ago

The function y = 8.5(1.1)x models the population in thousands of a town where x is the number of years after 2000. What will be

nikdorinn [45]

Answer:

The population will be at 65.45 in 2007.

Step-by-step explanation:

I graphed the equation below to find the answer.

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3 years ago

The research of Eich and Metcalf would suggest that if you were really happy when you were learning math, you should be ________

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4 0

4 years ago

Read 2 more answers

HELP ASAP HELP PLEASE ASAP

Gnesinka [82]

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using this formula, we get

$m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}$

$m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2$

Now,

$m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1$

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

5 0

3 years ago