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julia-pushkina [17]
2 years ago
15

1. Find the x- and y-intercept of the line. (1 point) x - y = 12

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0

The x-intercept is when the value of the y-coordinate is 0.

   x - 0 = 12\\ x = 12

Thus the x-intercept is at (12,0).

The y-intercept is when the value of the x-coordinate is 0

   0-y=12\\y = -12

Thus the y-intercept is at (0,-12)

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Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
mina [271]

The result of the log function log_a (m * n ^ 2)  is 60

According to the law of logarithm if log_ab=y then b=a^y

Given the following expressions

log_am=10\\log_an=25

This can be expressed as

m =a^{10} \ and \ n = a^{25}

Substitute the value of m and n into the expression log_a (m * n ^ 2) to have:

log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60

This shows that the result of the log function log_a (m * n ^ 2)  is 60

Learn more here: brainly.com/question/12049968

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2 years ago
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3 years ago
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3 years ago
Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide s
mr Goodwill [35]

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

5 0
4 years ago
Can someone pls help im new to this
Serggg [28]

Answer:

5

Step-by-step explanation:

\frac{-10}{-2} \\\\5

3 0
3 years ago
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