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4 years ago

If 2^5/2^a= 2^2, then a=

Mathematics

1 answer:

kodGreya [7K]4 years ago

5 0

Answer: 3

Step-by-step explanation:

$\frac{2^5}{2^a}=2^2$

Multiply by $2^a$

$2^a*\frac{2^5}{2^a}=2^2*2^a$

$2^5=2^2*2^a$

Divide by $2^2$ to isolate $2^a$

$\frac{2^5}{2^2}=\frac{2^2*2^a}{2^2}$

$2^3=2^a$

Since we have the same base (2), we equal their exponents.

$3=a$

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What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

= ( y2 - y1) / ( x2 - x1) 

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

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3 years ago

Factor completely 3x^2 − 21

Firdavs [7]

The highest common factor of the two terms is 3, so that goes outside the bracket as 3(____). To get 3x^2, you multiply 3 by x^2, which is your first term in the bracket, and to get -21, you multiply 3 by -7, so your final answer is 3(x^2 - 7). I hope this helps!

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3 years ago

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three vertices of parallelogram WXYZ are x=(-2,-3)Y(-6,8) and Z(7,7). Find the coordinates of vertex W

Mice21 [21]

The vertex of w would be (6,8)

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3 years ago

Andrew is at point A. A deer is 3km directly north of Andrew, at point D. Brian is 1.8 km due west of Andrew at point B. Calcula

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4 years ago

Express the fraction in simplest form.

blagie [28]

4/16 in simplest form:

First, we need to find the greatest common factor (GCF) of 4 and 16. Why? We have to find the number that we are going to be dividing the numerator and denominator by to get the simplest form of the fraction. Let's list the factors for 4 and 16:

Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16

Out of the two sets of factors, which ones are the common ones? The common factors between the two are 1, 2, and 4. Since we are looking for the GREATEST common factor, we have to look at the highest number out of 1, 2, and 4. The GCF is 4, since 4 is higher than 1 and 2.

Second, we now have a number that we are going to divide the numerator and denominator by, which is 4. The numerator is the top number of the fraction (4) and the denominator is the bottom number of the fraction (16).Let's divide now.

$4 \div 4 = 1 \\ 16 \div 4 = 4$

Third, we now have the simplified fraction. (1) is our new numerator, and (4) is our new denominator. This makes the new simplified fraction 1/4. So, your answer is C.

Answer in fraction form: $\fbox {1/4}$
Answer in decimal form: $\fbox {0.25}$

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3 years ago

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