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Evgen [1.6K]
3 years ago
9

If two lines are perpendicular, which statement must be true?

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

Their slopes are opposites

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What's the markdown price of this red dress
il63 [147K]
It was marked down $18.49.
3 0
3 years ago
I think it’s c but I need help
Oksana_A [137]

Answer:

x = 12

Step-by-step explanation:

In a right triangle (a triangle that has a ninety degree angle in it) the the square of the side opposite the right angle is always equal to the sum of the squares of the other two sides. Therefore, we can use the information we are given to figure out the missing side:

15^2=225\\9^2=81\\225-81=144\\\sqrt[2]{144}=12

4 0
3 years ago
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If the population of a country increases at a rate of 1.5% annually and its current population is 430,000, how many years will i
Sphinxa [80]

Answer:

That is 74 years.

Step-by-step explanation:

1.5% = 0.015.

The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.

Triple the population  is 430,000 * 3 =  1,290,000, so:

1,290,000 = 430,000(1.015)^n

(1.015)^n = 1290,000 / 430,000 = 3

Taking logs of both sides:

n log 1.015 = log 3

n = log 3 / log 1.015  =  73.8 years

5 0
4 years ago
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Find f(-2) if f(x) =x^4 +2x^2-1
Ierofanga [76]

Answer:

Plug -2 in for x of f(x)

--> -2^4 + 2(-2)^2 - 1

---> 23

f(-2) = 23

4 0
3 years ago
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One of the children bought their teacher a mathematical plant for the classroom windowsill. At the end of the first day it had i
Vlad [161]

Answer:

  18 days

Step-by-step explanation:

Here's a short table of heights:

  day 0: height = 1

  day 1: height = 1 + (1/2)(1) = 3/2

  day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

  (day, height) = (0, 1), (1, 1.5), (2, 2)

The plant is growing 1/2 its original height each day, so we can write the equation ...

  h = 1 + d/2

We want to find the number of days (d) that result in a height of 10 (ten times the original height).

  10 = 1 + d/2

  9 = d/2 . . . . subtract 1

  18 = d . . . . . multiply by 2

It took 18 days for the plant to grow to 10 times its original height.

5 0
3 years ago
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