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3 years ago

Determine the precise name for quadrilateral WXYZ

Mathematics

2 answers:

Archy [21]3 years ago

7 0

It is a trapezoid so the first one

Natali5045456 [20]3 years ago

3 0

it is a quadrilateral

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6x + 3y + z = 21 y = 7x + 8z - 29 -6y - 8z = 6

kicyunya [14]

Answer:

What is the question

Step-by-step explanation:

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3 years ago

Read 2 more answers

Can one fifth be simplified

Svetradugi [14.3K]

No, and never, cus there ain't any numbers that are greater than 1 that can go into both of them.
so basically if the numerator is 1, you can't simplify it anymore. Is Impossible.

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3 years ago

Find the average rate of change of k(x)=5x–19 over the interval [ - 14, - 4].

rusak2 [61]

The rate of change of a function can be modeled with the following expression:

$\frac{\Delta{k{x)}}{\Delta{x}}$

Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be

$\Delta{x}=-4-(-14)=10$

To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:

$k(-14)=5(-14)-19=-70-19=-89\\ k(-4)=5(-4)-19=-20-19=-39\\ \Delta{y}=k(-14)-k(-4)=-89-(-39)=-50$

So, the rate of change for the function from x = -14 to x = -4 is

$\frac{\Delta{y}}{\Delta{x}}= \frac{-50}{10}=-5$

7 0

4 years ago

Solve this pls help How did the Californian gold rush have an effect on people?

NeTakaya

Answer:

The gold rush has a big impact on people. Especially since it helped shaped the course of California's development by bringing economic growth.

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2 years ago

You use 240 cubic inches of clay to make a sculpture shaped as a rectangular prism. The width is 4 inches less than the length a

murzikaleks [220]

Answer:

L: 6

W: 2

H: 20

Step-by-step explanation:

First, we need to know the expression to calculate the volume of rectangular prism which is:

V = L * W * H

The only thing we know is that the volume is 240 in³ and that the width is 4in less than length, the height is 2 in more than 3 times length. So, everything is set in function of the length, therefore, we'll call L = x and then solve for x

L = x

W = x - 4

H = 3x + 2

Let's replace the data in the formula of volume:

240 = x * (x - 4) * (3x + 2)

240 = (x² - 4x)(3x + 2)

Solving this we have:

240 = 3x³ - 10x² - 8x

Rearranging the equation:

3x³ - 10x² - 8x - 240 = 0

Now, in order to solve this, we need to factorize the left side:

3x³ - 18x² + 8x² - 48x + 40x - 240 = 0

3x²(x - 6) + 8x(x - 6) + 40(x - 6) = 0

(x - 6)(3x² + 8x + 40) = 0

Now that we have this, we can solve the value of x.

x1 -----> x - 6 = 0 ---> x = 6

x2 ---> (3x² + 8x + 40) = 0

Δ = 8² - 4*3*40 = 64 - 480 = -416

This value of -416 means that it's not possible to get a real number as x (only the imaginary numbers), therefore the value of x should be 6

x = L = 6

With this value we can calculate W and H:

H = 6 - 2 = 4

W = (3*6) + 2 = 20

7 0

3 years ago