Reuben jogs 2.25 miles every

In parallelogram WXYZ, what is CY?<br> 11 ft<br> 15 ft<br> 21 ft<br> 23 ft

erastovalidia [21]

Answer:

15 ft

Step-by-step explanation:

In a parallelogram the diagonals bisects each other

So WC= CY

$x+4=2x-7$ solve the equation for x

Subtract x from both sides

$x-x+4=2x-x-7$

$4=x-7$

Now we add 7 on both sides

$4+7=x-7+7$

x=11

Now we need to find CY

$CY= 2x-7$

Plug in 11 for x

$CY= 2(11)-7=22-7= 15$

6 0

3 years ago

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Please help solve this system of equations

stepan [7]

Make a substitution:

$\begin{cases}u=2x+y\\v=2x-y\end{cases}$

Then the system becomes

$\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}$

Simplifying the equations gives

$\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}$

which is to say,

$\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}$

$\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81$

$\implies\dfrac uv=\pm27$

$\implies u=\pm27v$

Substituting this into the new system gives

$\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1$

$\implies u=\pm27$

Then

$\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13$

(meaning two solutions are (7, 13) and (-7, -13))

8 0

3 years ago

The Distributive Property also combines subtraction and multiplication. for example, . 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ).

Sholpan [36]

So the problem ask to find or solve the problem using distributive property, so to calculate if using distributive property is just the same calculation if you are multiplying two number using a paper so the answer is 5(8)+5(90)+5(100), 40+ 450+500 = 990. I hope you understand my answer

6 0

3 years ago

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To write the polynomial −x^3 + x^4 + x − x^2 in standard form, which term should go first?

Goshia [24]

Answer: OPTION D

Step-by-step explanation:

To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial $-x^3 + x^4 + x - x^2$ , you can see that the term that thas the highest exponent is x⁴ (The quartic term).

Then, this polynomial written in Standard form is:

$x^4 - x^3 - x^2+x$

Therefore, the term that should go first is: the quartic term.

8 0

3 years ago

A central angle Theta of a circle with a radius of 16 inches intercepts an arc of 19.36 inches, find theta

rosijanka [135]

The length of the arc =R × theta
theta =the length of the arc /R
theta =16/19.36
that's what i know

7 0

3 years ago

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