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3 years ago

Line a passes through points (2, 1) and (7, 9). Line b is perpendicular to a. What is the slope of line b?

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

8 0

Hi :) the slope of line B is -5/8
please refer to the pic below for the solution! :)

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Step 1: 12x – 15 – 12x = 7x + 20

stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0

3 years ago

A=130(1.05)^x by what percent does the balence increase each year?

frosja888 [35]

Answer:

Step-by-step explanation:

The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:

A = P (1 +r) ^ t

A= amount of the balance after a period of t

P= principal, the initial money deposit

r= rate

t= time

The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.

The value of rate (r) will be:

(1+r) = 1.05

r= 1.05-1= 0.05 = 5%

6 0

4 years ago

PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformatio

Montano1993 [528]

Answer:

$g(x) = 12 {e}^{ - x - 7}$

Step-by-step explanation:

The parent function is

$g(x) = e {}^{x}$

First it is asked to reflect over the y axis so using the rule

$g(x) = g( - x)$

Our function looks like

$g(x) = e {}^{ - x}$

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

$g(x) = g(x - h)$

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

$g(x) = a \times g(x)$

where a is the vertical stretch. So now it would look like

$g(x) = 12 {e}^{ - x - 7}$

4 0

3 years ago

The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?

professor190 [17]

Answer:

Take 8÷3.5. So the answer is aprominently 2.29.

8 0

3 years ago

20 + 27x + 9x^2 = (?) (3x + 5)

DiKsa [7]

Answer:

(3x + 4)

Step-by-step explanation:

9x²+27x+20 can be factored out to (3x + 4)(3x + 5)

7 0

3 years ago