Answers
Answer: B
Step-by-step explanation:
The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]). Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex]. For a line to be perpendicular to another, it must have an opposite reciprocal slope. A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa. Thus, 3/4 would become 4/3. The opposite reciprocal of 3/4 would be -4/3.
The slope of the line given is 3/4. Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex]. Then, because the line passes through -12, 1, plug those values in for x and y, respectively.
[tex]1=-\frac{4}{3}*-12+b[/tex]
[tex]1=16+b[/tex]
[tex]-15=b[/tex]
Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.
Hope it helps :D
Related Questions
The ratio of the number of adults to the number of children at a restaurant is 3: 7. Identify the choice(s) below
that represent an equivalent ratio.
A 15:35
B 6:14
C 21:9
D 8:12
E 30 : 70
Answers
Answer:6:14
Step-by-step explanation:
How much is 47% of 47% of 47% of 47% of $60? Round your answer to the nearest penny.
AND PLEASE LET ME KNOW HOW YOU SOLVED IT!!
Answers
”of” means “times” or ×.
47% of 47% of 47% of 47% of $60 = 0.47×0.47×0.47×0.47×$60 = 0.47^4 ×$60 ≈ $2.93
Please help me on this
Answers
9514 1404 393
Answer:
number of cups purchasedtotal monthly costtotal monthly costnumber of cups purchasedM(x) = 2x +15M(13) = 4113 cups purchased in a monthhave a total monthly cost of $41Step-by-step explanation:
When you have a wording that matches ...
A depends on B
It means that A is the dependent variable, and B is the independent variable.
Here, the total monthly cost depends on the number of cups purchased.
That statement tells you that "total monthly cost" is the dependent variable, and "number of cups purchased" is the independent variable (x).
The first four (4) blanks you're to fill represent two different ways of saying this same thing.
__
The equation is a mathematical expression of the way the costs add up.
total monthly cost = (program cost) + (per-cup cost) × (number of cups)
M(x) = 15 + 2x
Then M(13) is ...
M(13) = 15 + 2·13 = 15 +26 = 41
So the total monthly cost for the purchase of 13 cups of coffee is $41.
Here is a rectangle ABCD.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answers
Answer:
it will increase 5 percent
Answer:
8%
Step-by-step explanation:
V/7=5
Solve for v
(I need help right now)
Answers
Answer:
V=35
Step-by-step explanation:
[tex]\frac{V}{7} =5[/tex]
Start by multiplying by 7 on both sides:
V=35
Answer:
35
Step-by-step explanation:
5 times 7 is 35 so v divided by 7 is 5
Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answers
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Is this question -true or false- I dont know
Answers
Answer: FALSE
Step-by-step explanation:
The sum of a number and 13 is the same as the difference of 29 and the number. Find the number.
Answers
Answer:
16
Step-by-step explanation:
im pretty sure
An online clothing company sells custom sweatshirts. The company charges
$5.50 for shipping plus $8.00 for each sweatshirt. Write a linear function rule that models the total
costy (in dollars) for any number of sweatshirts x
Answers
The y-intercept / initial value in the problem is $5.50 because that is what you have to pay and it’s basically your initial value whereas $8.00 is your slope or rate if change because that is why you have $8.00x which means that whatever number of sweatshirts you buy, they will each cost you $8.00.
Which fraction and decimal forms math the long division problem
Answers
Answer:
4/15 and 0.26
Step-by-step explanation:
Here, we want to write the fraction and decimal that matches the division problem
The division problem is simply 4/15 in fraction
In decimal, this is 0.2667
35 divided by 1 3/4 and 5
Answers
Answer:
25
Step-by-step explanation:
HELP PLA I NEED HELP
Answers
x=20
x=5 root under 3
x=4 root under 2
math work is hard pt1
Answers
Answer:
1. y = 3x - 2
2. [tex]y = \frac{1}{2} [/tex]
3. [tex]y = \frac{3}{2} x + 4[/tex]
4. y = -3x + 5
5. y = x - 6
▪Happy To Help <3
6th grade math!!!!!!!!!!!
Answers
Answer:
8(y-3) and 8y-24
Step-by-step explanation:
The parentheses mean that you're multiplying 8 and the difference of y and 3.
If you carry out the distributive property, you'll get 8y-24
Answer:8(y-3) and 8y-24
Step-by-step explanation:
I've had this problem before on a different test!
John went to the store and bought 4 pencils
and 10 binders and spent $64. Carmen went
to the same store and bought 7 pencils and 4
binders and spent $31. If Lisa wants to buy
pencils and binders from the same store,
how much should they tell her each item
costs?
Answers
X= pencils and Y= binders
4x + 10y = 64
7x + 4y= 31
Pencils are $1 each and binders are $6 each.
the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height
Answers
Answer22:22
Step-by-step explanation:
the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle
Answers
Answer:
The length of the other leg of the triangle is 30 inches.
Step-by-step explanation:
Pythagorean: a^2+b^2=c^2
50=hypotenuse
50^2-40^2=missing leg
50^2=2500
40^2=1600
50^2-40^2=900
[tex]\sqrt{900}[/tex]=30
30 is missing leg
The length of the other leg of the triangle is; 30 inches.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.
Using Pythagorean:
[tex]a^2+b^2=c^2[/tex]
50 = hypotenuse
Let the missing length is x.
x² = 50^2-40^2
x² = 2500 - 1600
x² = 900
x =30
Hence, the length in inches of the other leg of the triangle is 30.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
What is the constant in the expression 12q + 9e + 15
Answers
Answer:
Step-by-step explanation:
the constant in this expression is 15
3y + x = 12
What is the value of x when y = 3?
Answers
Step-by-step explanation:
3y + x = 12
When y = 3, we have 3(3) + x = 12.
=> 9 + x = 12, x = 3.
Plz Plz plzzzzzz answer
Answers
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
A calculator is listed for $110 and is on clearance for 35% off. Sales tax is 7%. What is the cost of the calculator?
Answers
Answer:
$76.51
Step-by-step explanation:
I found how much the calculator cost on clearance first. Then I found the sales tax and added them together.
430 were sold.
4.25 for soda
5.50 for popcorn
the total is 2077.50
how many of each were sold?
Answers
Answer:
Soda = 230
Popcorn = 200
Step-by-step explanation:
(4.25 x 230) + (5.50 x 200) = 2,077.50
230 + 200 = 430
What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)
Answers
Answer:
I thin B -7 cause its negative and negative goes down.
Step-by-step explanation:
move the numbers to the lines to appear in order from least to greatest.
_,_,_,_,_
|-2/3| , |0.8| , 0.75 , 1/4 , -0.3
Answers
What is the slope of a line that passes through the origin and the point (-2,1)?
Answers
Given:
A line passes through the origin and the point (-2,1).
To find:
The slope of the line.
Solution:
If a line passes though two point, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is
[tex]m=\dfrac{1-0}{-2-0}[/tex]
[tex]m=\dfrac{1}{-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].
find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number
Answers
Answer: 29
Step-by-step explanation:
Let the smaller number be x
Let the bigger number be x+2
The information given in the question can be represented in a equation as:
x + 2 + 2x = 4x - 27
3x + 2 = 4x - 27
4x - 3x = 27 + 2
x = 29
The smaller number is 29
Adidea Corp regularly buts merchandise from vendors. It just purchased 1,000 units on credit from one of its vendors. How will the company record this transaction
Answers
Answer:
You did not include the price they bought the units at.
I will assume this price is $5.
= 5 * 1,000
= $5,000
Recording it will be:
Account Debit Credit
Merchandise Inventory $5,000
Accounts Payable $5,000
what is 46274648354846374 times 77466
Answers
:)))))))))))))
Which of the following statements is true?
Answers
Answer:
B - (0,0) is a solution to n = m and to n = 4m
Step-by-step explanation:
The only place where a number meets the same value multiplied by 4 is at (0,0). Otherwise it's just the same function just with a different slope
There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.
(a) What is the ratio of all apples in the basket to red apples?
(b) What is the ratio of red apples to green apples?
Answers
Answer:
A) 13:8
b) 8:5
Step-by-step explanation:
In this question, we will be making ratios.
Ratios are represented as a:b whereas "a" and "b" represent the different scenarios.
(a) What is the ratio of all apples in the basket to red apples?In this question, we need to make ratio with total apples and red apples.
We will write the ratio in respective order, or from left to right in the statement.
We know that our total amount of apples is 13, so that would go on the left side of the ratio.
We need to find the amount of red apples in the basket. We already have 5 green apples, so subtract 5 from 13.
13 - 5 = 8
We have 8 red apples, so that would go on the right side of the ratio.
Your ratio should be:
13:8
(b) What is the ratio of red apples to green apples?In this question, we have to make a ratio of red apples to green apples.
We know that there are 8 red apples, we also know that there's 5 green apples.
With this information, we can make our ratio:
8:5