Given the equation: 3x − 4y = 8,a) write an equation of a line parallel that passes through the point (-16, 4).

b) write an equation of a line perpendicular that passes through the point (9, -7).

Answers

Answer 1
Answer:

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope  M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16  answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign.  so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b


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What is the least What is the least common multiple of four and 12

Answers

Answer: LCM(4,12) = 12

Step-by-step explanation:

This of this as singing all the multiples of 4

4, 8, 12.

4 + 4 + 4.

Answer:

2

Step-by-step explanation:

Find the total amount of interest on a savings account if the principal is $9400 and the bank gives a rate of 6% compounded quarterly for the next 6 years.

Answers

Answer:

4037.3264$

Step-by-step explanation:

Total amount of money after 6 years:

A = P x (1 + rate)^time    

   = 9400 x ( 1 + (6/100)/4)^(6 x 4)    

   = 13437.3264$

=> Total amount of interest after 6 years:

I  = A - P = 13437.3264 - 9400 = 4037.3264$

The quotient of k and 9 is less than 1/3

Answers

Answer:

k/9 < 1/3

k < 3

Step-by-step explanation:

quotient is division

k/9 < 1/3

Multiply each side by 9

k < 9/3

k < 3

Ms. Terry's class is hosting a fundraisingchallenge. The students in her class are
divided into 4 teams. Each team has an
equal number of students. Do you have
enough information to find how many
students are on each team? Explain.

Answers

In being able to find out whether it is possible to know the number of students on each team, there simply isn't enough information to do so.

In order to find out the number of students on each team, the following formula is necessary:

= Number of students in general / Number of teams

The number of teams is 4 so the denominator is present.

We however, do not have the number of students in general so we are unable to find out the number of students in each team.

In conclusion, we do not have enough information to find out the number of students in each team.

Find out more at brainly.com/question/15459630.

You do not have enough information because you need to know how many students are in the class to be able to divide them into 4 equal groups we do know that it has to be a positive integer that can be evenly divided by 4

Evaluate the function.
f(x)=-2x^2-7x+6

Find f(−3)

Answers

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(x) = -2x² - 7x + 6

f(-3) = x = -3

Step 2: Substitute and evaluate

f(-3) = -2(-3)² - 7(-3) + 6

f(-3) = -2(9) + 21 + 6

f(-3) = -18 + 21 + 6

f(-3) = 3 + 6

f(-3) = 9

Substituting x = -3 into the function f(x) = -2x^2 - 7x + 6, we get f(-3) = -33. Therefore, the value of the function at x = -3 is -33.

To evaluate the function f(x)=−2x ^2 −7x+6 at  x=−3, substitute  −3 for x in the function: f(−3)=−2{(−3) }^2 −7(−3)+6

Now, calculate each part of the expression:

(−3) ^2   is 9  because the square of  −3 is  9.

−2 times 9 is  −18 because −2⋅9 =−18.

−7 times −3 is  21 because −7⋅−3=21.

Now, plug these values back into the expression:

f(−3)=−18−21+6

Finally, add and subtract:

f(−3)=(−18−21)+6=−39+6=−33

So, f(−3)=−33.

The value of the function

f(x)=−2x^ 2 −7x+6 at  x=−3 is  −33.

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In the graph above, what's the distance between (0, 2) and (5, 2)?

Answers

Answer:

The distance is 5

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation: