Using the rules of exponents to evaluate or simplify. write without negative exponents. 1/4^-2

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artcher [175]

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100 =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

3 0

3 years ago

4. If DF = 9x - 39, find EF. Help I’m so confused!!!!

topjm [15]

Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

given that DF =9x-39 , DE =47 EF=3x +10

substitute them into the formula,

3x +10=9x-39 - 47

solving for x

3x +10 =9x -86

grouping like terms

3x - 9x =-86 -10

-6x=-96

dividing through by -6

 $\frac{ - 6x}{ - 6} = \frac{ - 96}{ - 6}$ 

 $x = \frac{96}{6}$ 

 $x = 16$ 

but EF=3x+10

substitute x=16 into it to get the EF

EF= 3(16)+10

EF=48+10

EF=58

6 0

3 years ago

Read 2 more answers

Write 2 times 5 + (5+8)+ (8 times 2) as the product of two factors

marysya [2.9K]

Answer: 3 and 13 the solution to the equation is 39

Step-by-step explanation:

3 0

3 years ago

Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the numbe

lidiya [134]

Steve payed $4 in tax because 10% of 40 is 4. Steve payed $44 in total because 4+40=44.

8 0

2 years ago

Read 2 more answers

The difference between number 20 and its opposite is what percentage of 200? (if you do not remember: opposite of 15 is −15; opp

True [87]

20%

This is because 20 and it's opposite -20 is 40. (20 - -20 = 40). Then 40 is 20% of 200.

8 0

3 years ago

Read 2 more answers

Using the rules of exponents to evaluate or simplify. write without negative exponents. 1/4^-2​

Using the rules of exponents to evaluate or simplify. write without negative exponents. 1/4^-2