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Novosadov [1.4K]
2 years ago
10

Evaluate −2(2/5)^10x for x=1/5.

Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Answer:

-8/25

Step-by-step explanation:

I took the test and i got it right

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Perimeter of a rectangle is 52 feet. If the length is 10 less than 2 times the width, what is the width?
ella [17]

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \:  3x - 10 =  \frac{52}{2} \\ \therefore \:  3x - 10 = 26\\ \therefore \:  3x = 26 + 10\\ \therefore \:  3x = 36 \\ \therefore \:  x =  \frac{36}{3} \\ \therefore \:  x =  12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}

6 0
2 years ago
What is the solution to the following system of
Rufina [12.5K]

Answer:

i think the correct answer of these qusion is -2,3

5 0
2 years ago
Consider the following pair of equations:
Zinaida [17]

Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

5 0
3 years ago
What is -3 2/3 times (-2 1/4)?
butalik [34]
(-3 2/3) * (-2 1/4) ...turn to improper fractions
-11/3 * - 9/4 = ....now multiply straight across,and neg. x neg. = pos
99/12 reduces to 33/4 or 8 1/4
5 0
3 years ago
Write an equation in point slope form of the line that passes through the point (6,-5) and has the slope 1/2
babymother [125]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

\huge y + 5 =  \frac{1}{2} (x - 6) \\

Hope this helps you

5 0
2 years ago
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