What is an equation of the line that is perpendicular to -x+3y=9 and passes through the point (-3,2)
Answer:
y=-3x-7
Step-by-step explanation:
the line is currently in standard form (ax+by=c). Let's put it into slope-intercept form (y=mx+b)
-x+3y=9
add x to both sides
3y=x+9
divide by 3
y=1/3x+3
perpendicular lines have slopes that when multiplied, equal -1.
to find the slope (m) of our new line:
1/3m=-1
multiply by 3
m=-3
the slope of the new line is -3
here's our equation so far:
y=-3x+b
we need to find b (y intecept)
since the line passes through the point (-3,2), it should be a solution in the equation (plug it in, and the result is a true statement). We can also use it to find b
so, substitute the pointt into the equation:
2=-3(-3)+b
multiply
2=9+b
subtract
-7=b
so the equation of the line is y=-3x-7
Hope this helps!
Cindy and her friends went out to breakfast. The total bill came to $49.87. They have to pay 6.2% sales tax and want to leave a 18% tip. What was the final cost of the bill?
Answer:$60.94
Step-by-step explanation:
49.87+11.07(the total of tax plus tip)=60.94
Find the length of side x in simplest radical form with a rational denominator
In 2012, California had a population of about 38 million people, and North Dakota had a population of about 699,000 people. What is the difference in population between California and North Dakota
Answer:
37,301,000
Step-by-step explanation:
The difference in population can be determined by subtracting the population of North Dakota from California
38,000,000 - 699,000 = 37,301,000
what is the slope intercept form of this 6x+y=-1
Step-by-step explanation:
Given equation
6x + y = - 1
Writing the equation in slope intercept form ;y=mx + c
Then
y = - 6x - 1
Hope it will help :)
come up with and example of three side lengths that cannot possibly make a triangle
Answer:
2, 7, 12
Step-by-step explanation:
According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 2, 7 and 12, since 2 + 7 is less than 12.
Answer:
2,7,12
Step-by-step explanation:
acordig to shreek thus will mak erth gooooob booomobooomo popoopopopo
Ivanna says that 24/9 equals 9 divided by 22. Is she correct? Explain in detail.
Please no silly answers, also I will put you as brainliest if you follow all the directions and you are the first to reply.
Answer:
Step-by-step explanation:
24/9=2.66
9/22=.409
they are not equal.
fraction form 24/9= 2 6/9 simplified to 2 2/3
Answer:
No, 24/9 ≠ 9/22
Step-by-step explanation:
The product of cross multiplying would be 1 if they were equal, of which it isn't and thus they are not.
No calculator is needed unlike answers others have given...
I had trouble with this problem for homework, please help.
Answer:
i really wish i could help but i dont know ether i'm
sry maybe some one else could help
Question 3 of 7
A circular garden has a diameter of 10 yards. What is the area of the garden?
Use 3.14 for T.
Answer:
78.5 yards
Step-by-step explanation:
Essentially, to find the area of a circle simply use the equation pi r^2 (r=radius, or half of diameter). They also make it really easy by saying we may use 3.14 for pi, so really, we simply have to solve:
(3.14)5^2=78.5 yards
Hope this helps!
Sara will use 7 cups of apples to make 4 batches of applesauce. Decide whether
each expression shows the number of cups of apples in one batch.
Choose Yes or No for each expression.
a. 7-4
Yes No
d. $
Yes No
b. 4 - 7
Yes No
e.
7x)
Yes No
c.
7
4
Yes No
f.
Yes No
Answer:
1,YES 2,NO 3,YES 4,YES 5,NO 6,NO
☘️HOPE THIS HELPS! ☘️
Step-by-step explanation:
B
15
C
9
A
Find the length of "a"using
the Pythagorean Theorem.
Enter
Answer:
12
Step-by-step explanation:
Im assuming that 15 is the hyp. of the triangle.
Multiply 9 twice and 15 twice
Then subtract 225-81 and you get 144. Find the square root and you get 12.
PLEASE HELP!!!
A person invests $2,730 in an account that earns 4.2% annual interest. Find when the value of the investment reaches $5,000. If necessary, round to the nearest tenth.
Step-by-step explanation:
You want to calculate the interest on $2730 at 4.2% interest per year after 5,000 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:P is the principal amount, $2730.00.
r is the interest rate, 4.2% per year, or in decimal form, 4.2/100=0.042.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 2730 × 0.042 × 5 to get that:
The interest is: $573.30
a+b+b+b+80+90=100+18764968953622953+649465946166234+84565695566666655584
Answer:
a
Step-by-step explanation:
Answer:
Aa
Step-by-step explanation:
pleaseeeee does anybody know the answer ????
Answer:
a
trust me
Step-by-step explanation:
what is 1 + 3(x + 7) simplified
A tutor charges 30.00$ for two hours of tutoring how much money would the tutor make in nine hours
Answer:
135
Step-by-step explanation:
A tutor charges 30.00$ for two hours of tutoring how much money would the tutor make in nine hours
Answer:
60.00
Step-by-step explanation:
30.00 x 2 = well first your going to multiply 2 and 30 and you get 60 and just add the 2 0s so that would be 60.00
a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.
Answer:
480 calories
Step-by-step explanation:
4 ÷ 3/4= 5 1/3 servings
90 x 5 1/3= 480
Can someone plz help me with this one problem plz!!!
(I Will Mark Brainliest)!!!!
Answer:
(0, -8) and (8, -6) are two points on the graph.
Step-by-step explanation:
Please select the best answer from the choices provided
A
B
C
D
Answer:
Option A
Step-by-step explanation:
[tex]A=\begin{bmatrix}-3 & -9 & -3\\ -4 & -3 & 9\\ 7 & 9 & -10\end{bmatrix}[/tex]
[tex]-7A=\begin{bmatrix}21 & 63 & 21\\ 28 & 21 & -63\\ -49 & -63 & 70\end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}9 & 1 & 6\\ 3 & -10 & 5\\ -1 & 9 & -9\end{bmatrix}[/tex]
[tex]-4B=\begin{bmatrix}-36 & -4 & -24\\ -12 & 40 & -20\\ 4 & -36 & 36\end{bmatrix}[/tex]
[tex]-7A-4B=\begin{bmatrix}-15 & 59 & -3\\ 16 & 61 & -83\\ -45 & -99 & 106\end{bmatrix}[/tex]
Option A is the answer.
Find the vertex and focus of the
parabola:
x2 + 6x + 16y + 121 = 0
Vertex = ([?], [ 1)
Focus = ([ ], [])
Answer:
Step-by-step explanation:
Answer:
vertex (-3,-7) focus (-3,-11) trust me
Step-by-step explanation:
HELP!! I'LL GIVE U BRAINLIEST!!!!!!
Find the area of the regular polygon below, rounding to the nearest tenth.
Answer:
84.3034 m2
Step-by-step explanation:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.
What is the decimal equivalent to 5/8 inch
A colony of bacteria starts with 50 organisms and quadruples each day. Write an exponential function, P(t), that represents the population of the bacteria after t days.
Find each value or measure. Assume that segments that appear to be tangent are tangent. What does m
Answer:
41 is your answer
Step-by-step explanation:
m<EFG = 1/2 (121-39)
M<EFG= 1/2 (82)
M<EFG= 41
hope this helps u have a great day ^_^
Answer:
m∠EFG= 41°
Step-by-step explanation:
[tex]c=\frac{a-b}{2}[/tex]
[tex]\frac{121-39}{2}[/tex]
[tex]= \frac{82}{2}[/tex]
so, m∠EFG=41°
[tex]----------[/tex]
hope it helps...
have a great day!!
Help me with this please
Answer: (-6,2)
-8 + (-4) / 2 = -6
-6 + 10 / 2 = 2
Answer:
M = (-6,2)
Step-by-step explanation:
To find a midpoint, you add the x-coordinates and divide by 2 to get the new x coordinate and then add the y-coordinates and divide by 2 to get the new y-coordinate.
(-8 + -4) /2 = x of M
(-6 + 10)/2 = y of M
M = (-6, 2)
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
a. x squared divided by 5 plus y squared divided by 8 = 1
b. x squared divided by 25 plus y squared divided by 64 = 1
c. x squared divided by 8 plus y squared divided by 5 = 1
d. x squared divided by 64 plus y squared divided by 25 = 1
Answer:
c
Step-by-step explanation:
A 8-foot ladder touches the side of a building at a point 6 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.
Answer:Katie is 100 cm tall and is standing so that her mother's shado covers her shadow. She is 90 cm from her mother and her mother's shadow is 225cm long. How tall is her mother?
Step-by-step explanation:
HELP ASAP! I ALREADY TRIED EVERYTHING I JUST NEED ANSWERS!
Graded Assignment
Unit Test, Part 2: Volume
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Please make certain to show your work as part of your grade is associated with showing the steps to complete a problem. You want to set things up so that someone else can see the process you used to arrive at your answer.
Total score: ____ of 15 points
(Score for Question 1: ___ of 4 points)
1. Akari has a sink that is shaped like a half-sphere. The sink has a volume of
3. One day, her sink clogged. She has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Akari begins scooping. Hint: you may need to find the volume for both.
(a) Cup A has a diameter of 4 in. and a height of 8 in. Find the Volume of Cup A.
(b) Determine how many cups of water must Akari scoop out of the sink with Cup A to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work.
(c) Cup B has a diameter of 8 in. and a height of 8 in. Find the volume of Cup B.
(d) How many cups of water must she scoop out of the sink with Cup B to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work. Answer:
Part A)
Part B)
Part C)
Part D)
(Score for Question 2: ___ of 4 points)
2. Asahi also has a sink that is shaped like a half-sphere. The sink has a volume of 3. One day, his sink clogged. He has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Asahi begins scooping. Hint: you may need to find the volume for both.
(a) Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.
(b) How many cups of water must Asahi scoop out of the sink with Cup G to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work.
(c) Cup H has a diameter of 8 in. and a height of 8 in. Find the volume of Cup H.
(d) How many cups of water must he scoop out of the sink with Cup H to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work. Answer:
Part A)
Part B)
Part C)
Part D)
(Score for Question 3: ___ of 7 points)
3. You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream they’ve asked you to determine the amount of ice cream in a properly filled cone.
Mr. Robbins Ice cream cone reference
image with full scoop
Please note Mr. Robbins is very insistent that all cones be properly filled, and that he’s running an honest business.
Answer:
Find the volume of the composite shape for Mr. Robbins, and make sure to show your work)
Answer:
I don't know answer sorry
Step-by-step explanation:
8 + 7m + 5 = 27
show your work
Answer:
m=2 :)
Step-by-step explanation:
8+7m+5=27
13+7m=27
27-13=14
7m=14
m=2
M=2
[tex]8 + 7m + 5 = 27[/tex]
[tex]8 + 7m= 27 - 5[/tex]
[tex]8 + 7m = 22 [/tex]
[tex]7m = 22 - 8[/tex]
[tex]7m = 14[/tex]
[tex]14 \div 7m \\ = 2[/tex]
Pls help this is important
Answer:
C is the answerStep-by-step explanation:
5/4 is the answer