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2 years ago

What is the slope of a line that is perpendicular to the line y = 1?

Mathematics

1 answer:

Marrrta [24]2 years ago

4 0

The slope of a line perpendicular to the line y=1, would be y=-1.

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Solve k/2 - 2k + 1=7

Ugo [173]

Answer:

−

Step-by-step explanation:

−

8 0

2 years ago

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The number of bats in a colony is growing exponentially. After 2 years, there were 180 bats. After 5 years, there were 1440 bats

TEA [102]

Answer:

23040 bats

Step-by-step explanation:

Let N(t) be the number of bats at time t

We know that exponential function

$y=ab^t$

According to question

$N(t)=ab^t$

Where t (in years)

Substitute t=2 and N(2)=180

$180=ab^2$ ...(1)

Substitute t=5 and N(5)=1440

$1440=ab^5$ ...(2)

Equation (1) divided by equation (2)

$\frac{180}{1440}=\frac{ab^2}{ab^5}=\frac{1}{b^{5-2}}$

By using the property $a^x\div a^y=a^{x-y}$

$\frac{1}{8}=\frac{1}{b^3}$

$b^3=8=2\times 2\times 2=2^3$

$b=2$

Substitute the values of b in equation (1)

$180=a(2)^2=4a$

$a=\frac{180}{4}=45$

Substitute t=9

$N(9)=45(2)^9=23040 bats$

Hence, after 9 years the expected bats in the colony=23040 bats

8 0

3 years ago

Rewrite subtraction as an equivalent addition expression. 5(x – 4) + 3x – 9x + 7

iogann1982 [59]

Hello!

Explanation:

Distributive property: → a(b+c)=ab+ac

Expand the form equation.

$5(x-4)=5x-20$

$5x-20+3x-9x+7$

Then, simplify by equation or expand.

$5x-20+3x-9x+7=-x-13$

Final answer is: → $\boxed{=-x-13}$

*The answer must have a negative sign.*

Hope this helps!

Thank you :)

-Charlie

Have a great day! :)

3 0

3 years ago

The sum of an integer and its square is 72. Find the greatest possible integer.

givi [52]

$x + x^2 = 72$

$x^2 + x - 72 = 0$

$(x -8)(x+9) = 0$

$x = -9, 8$

Greatest Possible Integer: 8

4 0

2 years ago

What is RS? Put the answer below. RS =

katovenus [111]

Rs is 66, Sixty six, according to diagram

7 0

2 years ago

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