The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].
We need the knowledge of three distinct points to determine all coefficients of the vertical parabola based on the following general formula:
[tex]x^{2} + y^{2} + D\cdot x + E\cdot y + F = 0[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (-2, -18)[/tex], [tex](x_{2}, y_{2}) = (3,-13)[/tex] and [tex](x_{3}, y_{3}) = (5,-39)[/tex], then we have the following system of linear equations:
[tex]-2\cdot D -18\cdot E + F = -328[/tex] (2)
[tex]3\cdot D -13\cdot y + F = -178[/tex] (3)
[tex]5\cdot D -39\cdot E + F = -1546[/tex] (4)
The solution of the system of equations is: [tex]D = -21[/tex], [tex]E = 51[/tex], [tex]F = 548[/tex].
The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].
We kindly invite to check this question on parabolae: https://brainly.com/question/4074088
1.5 plss help, will give brianlist
At what rate (mph) must you travel to go 1,112 miles in 26 hours? Round your answer to the nearest whole number.
Answer:
42.7mph (can round it to 43mph)
Step-by-step explanation:
since you have distance and time to find the speed you can just divide the distance 1112 with the time 26 and you will get the speed.
PLEASE HELP I GIVE BRAINLIESTTTTTT
Answer:
-0.9, -1/4, 3/5, 0.8
Answer:
Step-by-step explanation:
[tex]\dfrac{-1}{4}=-0.25\\\\\dfrac{3}{5}=0.6[/tex]
-0.25 ; 0.6 ; 0.8 ; -0.9
Negative numbers have least value.
Least to greatest:
-0.9 ; -0.25 , 0.6 , 0.8
-0.9 ; -1/4 ; 3/5 ; 0.8
What is f(4) for the graph shown below?
Answer:
f(4)= 1
Step-by-step explanation:
f(x) = y
if x = 4 , y = 1
8x+2y=0
Identifying Direct Variation Equations Tell whether the equation respresents Direct Variation. If so, Identify the constant of variaion.
-Giving a brainely for correct answer
Answer:
Below.
Step-by-step explanation:
They are of the form y = kx where k is some constant.
8x + 2y = 0 is Direct Variation because you can transform it:
8x + 2y = 0
2y = -8x
y = -4x :- here k = -4.
A cube has an edge of 3 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume
of the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube (third power) of the length of a side.
Answer:
so it increases by 4 per minute
the volume of a cube is v=side^3
so the side length be 5+4m where m is the number of minutes
therefor the volume can be expressed as V(m)=(5+4m)³
Step-by-step explanation:
The volume of the cube can be expressed as a function of m, the number of minutes elapsed as V(m) = (3 + 4m)³ feet³.
What do we mean by volume?The volume of an object is the total space occupied by the object in the three-dimensional space.
How do we solve the given question?In the question, we are asked to express the volume of a cube as a function of m, the number of minutes elapsed. We are given that the initial length of the edge of the cube was 3 feet, and it increases at a rate of 4 feet per minute.
∴ We can say that the length of the edge after m minutes = 3 + 4m
As 4 feet is the increase per minute and m minutes have elapsed.
We know, that the volume of a cube is the cube of the length of the edge.
∴ The volume = (3 + 4m)³.
Hence, the function of the volume of the cube in m can be written as,
V(m) = (3 + 4m)³ feet³.
Learn more about volumes at
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 Line v passes through point (6, 6) and is perpendicular to the graph of y = 3/4x - 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
A: y= 3/4x+2
B: y=-3/4x+2
C: y=-4/3x+2
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
Parallel lines have identical slopes
As our original line has a slope of 3/4, both lines v and w have slope of -4/3
This means that
C: y = -4/3x + 2
is the only possible option.
Let's check that the given point fits on this line.
10 = -4/3(-6) + 2
10 = 10
So our answer is correct.
twice a number x increased by 10 is 52
Answer:
x = 21
Step-by-step explanation:
the equation is 2x + 10 = 52
2x = 42
x = 21
Please help me with this will rate brainliest
Answer:
For question 3 the answer is 20 minutes and for question 5 the answer is 1 hour
Step-by-step explanation:
I will give out brainless if you get this right
How many sides does a dodecahedron have?
Answer:
12
Step-by-step explanation:
Question below. Plz help
Answer:
8 sugar free
Step-by-step explanation:
look at number amb it says how many different Compassion or possible that the mildew be said two of the desert or sugar-free for the drinks are sugar-free all you have to do is multiply 2 * 4 and you and you will get the answer of it
Ryan spent a total of $40 at the grocery store. Of this amount, he spent $14 on fruit. What percentage of the total did he spend on fruit?
Answer:
35%
Step-by-step explanation:
ryan spent 14 out of his 40 dollars on fruit. so ryan spent 14/40 or 7/20 of his money.
to convert a fraction to a percentage, multiply by 100
so multiply 7/20 by 100 to get 35%
Answer:
35%
Step-by-step explanation:
Ryan spent $14 out of his $40 dollars on fruit. This is 14/40 = 35%
A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?
Answer:
3 lessons a night
Step-by-step explanation:
Answer:
I think the answer would be 3 nights may be wrong though.
2 2/3 x 3 1/4 what is the answer
Answer:
8 2/3
Step-by-step explanation:
solve pls brainliest make sure is correct
Answer:
113/20 < 5 7/10 < 5.749 < 5.78
Step-by-step explanation:
113/20, 5.78, 5.749, 5 7/10
113/20 = 5.65
5 7/10 = 5.7
51 decreased by twice Jose's height
use the variable j to represent Jose's height.
Step-by-step explanation:
51 - 2j
maybe something is missing here, but that is the representation of what you wrote.
Estimate 18.232 - 6.25 by first rounding each number to the nearest tenth.
Help me plz
Answer:
11.9
Step-by-step explanation:
I think this is the answer
round 18.232 = 18.2
round 6.25 = 6.3
then 18.2-6.3 =11.9
I hope this helps, mark brainless if it's correct :)
One side of a triangle is X another is X+3 and the third is 2X-1. If the perimeter is 66 inches what is the length of each piece
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Perimeter of a triangle is equal to the sum of measures of its three sides, that is :
[tex]x + x + 3 + 2x - 1 = 66[/tex][tex]4x + 2 = 66[/tex][tex]4x = 64[/tex][tex]x = 16[/tex]so, the three sides are :
1st [tex]\rightarrow[/tex] x = 16 inches2nd [tex]\rightarrow[/tex]x + 3 = 19 inches3rd [tex]\rightarrow[/tex]2x - 1 = 31Carl’s Cards will print holiday cards for $2 each plus a shipping fee of $25. Penny’s Prints offers holiday cards for $5 each with a shipping fee of $10. Create and use an algebraic equation to find out the number of holiday cards for which the cost is the same for either company. *
Using the same information from above, if you need to purchase 10 holiday cards, which company should you order from and why?
Carl's
Pennys
Answer:
the answer is 5
Step-by-step explanation:
inside temperature y after x hours can be represented by y=68x. come park the functions by comparing the temperatures
Answer:
An equation that can be used to model these data is of the form: y = A cos B(x - C) + D,
where A,B,C,D, are constants, y is the temperature in °C and x is the month (1–12).
The spring concert at a certain high school sold 155 tickets. Students were charged $4 each and adults $8 each. The income from the sale of tickets was $980. How many students and how many adults bought tickets? Use algebra to solve this problem.
Answer:
Step-by-step explanation: 85 students and 80 adults
Read the problem.
Savory Spreads bagel shop baked 120 bagels this morning, and 24 of them were
blueberry. What percent of the bagels were blueberry?
Pick the model that represents the problem.
0%
?
100%
120
0
24
100%
0%
?
120
0
24
What percent of the bagels were blueberry?
Answer:
20%
Step-by-step explanation:
Firstly,
you'll have to divide 24 blueberry bagels by 120 of em all, so you'll get 0.2
24/120
= 0.2
Next,
change the number to percentage
0.2 × 100%
= 20%
JoAnn works in a publicity office at the state university. She is paid
$
13.50
an hour for the first
35
hours she works each week and
$
20.25
an hour for every hour after that. If she makes
$
634.50
one week, how many hours did she work?
Jake lives in San Mateo. He bought an item for $787.31 and when the clerk calculated the sales tax it came out to exactly
$82.87488. Round the sales tax to the nearest
not exactly sure what to round to. but if you're ruining to the nearest hundred it would be : 82.87 and to the nearest tenth is would be : 82.9 (:
Daniella has a box of 525 markers that she wants to share with 15 of her friends. If each of her friends gets the same number of markers, how many markers will each friend get?
please help me!
Answer:
Each friend will get 35 markers
Step-by-step explanation:
525 / 15 = 35
help me out guys !!!
Answer:
B) y-4=-9/11(x+8)
Step-by-step explanation:
Just pls give an answer ._.||
Answer:
I think the answer is C
Step-by-step explanation:
You will multiply the exponents, sorry if I am wrong!
Answer:
The anwser is C, if it is right, you should give Brainliest to the other person, if you can. They were quicker.
Convert 0.750 into it's fractional form, simplified completely.
Answer:
3/4
Step-by-step explanation:
1.00=100. .75= 75/100 ....... 25 goes into 75 3x and into 100 4x therefore 3/4
i don't know how to do math lol
Answer:
your just asking the same question over and over again
Step-by-step explanation:
Write 128 as a product of primes. Use index notation when giving your answer.
working out pls