2 years ago

What expression is equivalent to

Mathematics

1 answer:

Wittaler [7]2 years ago

4 0

Answer:

c) x^6 y^11 z^6

Step-by-step explanation:

When multiplying exponents with the same variables, you add them.

so x^4(x^2) would be 4+2 and therefore x^6.

keep in mind this doesn't apply for different variables

(xy^2)(x^2y) will not be added!!

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Alaina has $28 in her account. She wants to purchase a pair of shoes that cost $45. If Alaina makes the purchase, which integer

muminat

Answer:

-17

Step-by-step explanation:

You subtract $45 from $28 and get a negative number

4 0

3 years ago

( PLEASE HELP) The points (3,-2) (-3,-2) and (-3,6) are the vertices of a triangle. Find the perimeter of the triangle. (Hint: U

True [87]

Look at the picture.

$x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\to x=10$

The perimeter of the triangle:

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2 years ago

What is the area of the shaded region on the graph shown?

Sindrei [870]

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

$f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}$