Fill in the table using this function rule. y=30-4x X y 1 3 5 6 a

Rina8888 [55]

I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.

1. (3 , 2); y = 3x - 2

If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3

y = mx + b

y = 3x + b

To find b you plug in the point (3, 2) into the equation

2 = 3(3) + b

2 = 9 + b

-7 = b

The equation of the line that is parallel to the given equation is:

y = 3x - 7

To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)

The given slope is 3, the perpendicular slope is $-\frac{1}{3}$

y = mx + b

$y = -\frac{1}{3} x + b$

To find b, you plug in the point (3 , 2) into the equation

$2 = -\frac{1}{3} (3) + b$

2 = -1 + b

3 = b

The equation of the line perpendicular to the given equation is:

$y = -\frac{1}{3} x +3$

8 0

3 years ago

Please help! Thanks! The midpoint between y and 33 is -7. Find y

Setler79 [48]

Answer: 32

Step-by-step explanation: hope this helps

4 0

2 years ago

Someone pls help will give brainliest

liberstina [14]

3. 60 divide by 360 times pi times (8)2=33.51 squared inch

4. 120divide by 360 times pi times (5 over 2)2=40.9 squared inch

5 0

3 years ago

Here's the result of this question

Dafna11 [192]

We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 2% into decimal.

$2\%=\frac{2}{100}=0.02$

We have $P=\$80,000$ and $t=10$ , so we will get:

$A=\$80000\left(1+0.02\cdot 10\right)$

$A=\$80000(1+0.2)$

$A=\$80000(1.2)$

$A=\$96,000$

Therefore, Anil will pay $\$96,000$ to the bank after 10 years.

8 0

3 years ago

Which integer is closest to 0 on the number line?

IrinaVladis [17]

An integer is close to zero if it is "small".

By small, we mean that it is small in absolute value. In fact, for any given distance $d$ , there are two integers that are $d$ units away from zero: $d$ and $-d$ .

So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.

So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.

8 0

2 years ago