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3 years ago

The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?

Mathematics

1 answer:

SpyIntel [72]3 years ago

5 0

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

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3 years ago

line segment with one endpoint at (2,5) is divided in the ratio 4:5 by the point (10,1). which coordinates could represent the o

rodikova [14]

Answer:

(20,-4)

Step-by-step explanation:

We are given;

One end point as (2,5)

Point of division as (10,1)

The ratio of division as 4:5

We are required to calculate the other endpoint.

Assuming the other endpoint is (x,y)

Using the ratio theorem

If the unknown endpoint is the last point on the line segment;

Then;

$\left[\begin{array}{ccc}10\\1\end{array}\right]$ = $\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]$ + $\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]$

Therefore; solving the equation;

$10=\frac{4}{9}x+\frac{10}{9}$

solving for x

x = 20

Also

$1=\frac{4}{9}y+\frac{25}{9}$

solving for y

y= -4

Therefore,

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5 0

3 years ago

This one also thx PLZZ be right

nydimaria [60]

Answer:

D. x = 2

Step-by-step explanation:

$\frac{1}{2} x+3=\frac{5}{2} x-1$

$\frac{1}{2} x-\frac{5}{2 }x=-1-3$

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$x = -4(-\frac{2}{4} )$

$x=2$

3 0

3 years ago

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