Answers
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
Related Questions
write the slope-intercept form of the equation if the slope is 1 and the y-intercept is is -4
Answers
Answer:
y=x-4
Step-by-step explanation:
Slope intercept form is y=mx+b (m=slope and b=y intercept)
so the equation would be y=1x-4 but you should simplify to y=x-4
Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 =2d− 2 13 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=
Answers
Answer:
[tex]d = -\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]
Required
Solve for d
[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]
Collect Like Terms
[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]
[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]
Take LCM
[tex]4d=\dfrac{-13+11}{2}[/tex]
[tex]4d=\dfrac{-2}{2}[/tex]
[tex]4d = -1[/tex]
Make d the subject
[tex]d = -\dfrac{1}{4}[/tex]
Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?
Answers
Answer:
20.40
Step-by-step explanation:
Answer:
10 dollars. I think.
Step-by-step explanation:
a rectangle is 11 inches long and 8 inches wide how do I find its area
Answers
Answer:
A = 88 in^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 11 (8)
A = 88 in^2
What’s the ANSEWR to this
Answers
Answer:
20.25
Step-by-step explanation:
i think its asking for the long side
the pythagorean theorem states that in a right triangle a^2+b^2=c^2
a is 19
b is 7
c is the long side
19^2= 361
6^2= 49
361+49=410
410 =c^2
square root of 410 = ~20.25
Answer:
[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]
20.25 is the right answer.
Julio considers the reduction of the triangle. What is the correct cross product that he should use to solve for the missing dimension? (8)(12) = 21x (8)(21) = 12x (12)(8) = 12x (12)(21) = 8x
Answers
Answer:
(8)(21) = 12x
Step-by-step explanation:
(8)(12) = 21x
(8)(21) = 12x
(12)(8) = 12x
(12)(21) = 8x
Opposite : Adjacent
12 in : 21 in
Opposite : Adjacent
8 in : x in
Equate both ratios to solve for x
12 : 21 = 8 : x
12 / 21 = 8 / x
Cross product
(12)(x) = (21)(8)
12x = 168
x = 168 / 12
= 14
x = 14
Answer:
B
Step-by-step explanation:
A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:
Answers
Answer:
the red skittles be 44 and yellow skittles be 17
Step-by-step explanation:
The computation of the number of each color are in the bowl is as follows;
Let us assume the red skittles be y
And, the yellow skittles be x
The first equation is
x + y = 61
And, the second equation is
y = 2x + 10
Now put the second equation in the first equation
x + 2x + 10 = 61
3x = 51
x = 51 ÷ 3
= 17
And, y = 2 (17) + 10
= 34 + 10
= 44
Hence, the red skittles be 44 and yellow skittles be 17
HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answers
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation:
How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.
Answers
Answer:
He would make one hop to land on 6.
Step-by-step explanation:
He starts on 6, and hops to the opposite of the opposite of 6, which is 6.
ty-qy+p=r solve for y
Answers
Answer:
[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]
Step-by-step explanation:
In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.
Step 1: Subtract [tex]p[/tex] from both sides of the equation.
[tex]ty - qy + p - p = r[/tex] [tex]ty-qy=r - p[/tex]Step 2: Factor out the common term [tex]y[/tex] from the left side
[tex]y( t-q ) = r-p[/tex]Step 3: Divide both sides by [tex]t-q[/tex]
[tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex] [tex]y = \frac{r-p}{ t-q}[/tex]Hope this helped!
What is the constant of proportionality in the equation 3y = 2x
Answers
Answer:k = 2/3
Step-by-step explanation:
When a variable y directly relates to another variable x, we can say:
y=kx
Given the equation, we can say
3y=2x
y= 2x/3
Putting the value of y from above discussion
kx = 2x/3
x is being cancelled on both sides of equation
k= 2/3
Answer:
k = 2/3
Step-by-step explanation:
i don’t know how to explain sorry I’m not good at explaining but I hope this helps
Write the untit rate rounded to the nearest hundredth ( two decimal places ) A coffee shop sold 48 cups of coffee in 4 hours how many cups do they sell per hr
Answers
Answer:
The coffee shop sells 12 cups/hour.
Step-by-step explanation:
To figure this out you would divide the amount of cups (48) by the amount of hours (4)
use, or to compare the following numbers. -2 or 12 <>
Answers
Answer:
-2 < 12
Step-by-step explanation:
12 is bigger than -2.
10 yd
5 yd
What’s the surface area of the cylinder
Answers
Answer:
471.24 yd²
Step-by-step explanation:
The formula for the surface area of the cylinder
= 2πr(r + h)
Height = 10 yd
Radius = 5 yd
Surface area =
2 × π × 5(5 + 10)
= 471.24 yd²
The surface area of the cylinder = 471.24 yd²
HELP PLZZZ!!!!! THank u! :)
(5 screenshots included)
Answers
Step-by-step explanation:
1. f(x) = 6x - 14
Slope is the coefficient of x
Slope = 6
2. f (x) =6x+ 9 +x
f(x) = 7x +9
Slope = 7
3. The last option because it is not a line.
4. The third option. x and y do not get multiplied in linear equations.
5. The last option.
the first one is y=x
the second one is y =-x
the third one is y=0x - 2
the last one is wrong because if x is - 1 or - 2 twice, it should still give the same vue for y.
I hope this helps.
Please gimme brainliest. Thank you
2 Name the diameter of the circle shown.
A co
B ec
C eo
D rc
Answers
Answer: a
Step-by-step explanation:
6h + 24 = 0
What is h?
Answers
Answer:
h= -4
Step-by-step explanation:
6h + 24 = 0
subtract 24 on both sides
6h = -24
divide 6 on both sides
h= -4
simplify the expression
-2 - 3n =
Answers
Answer:
-3n-2
-3 -3
n=2/3
you would be dividing
it would be N=2/3
Answer:
brainliest plsssss
Step-by-step explanation:
−2−3n
= −2 + −3n
34. HOME What's the Error? Nathan says
that Madison Square Garden is located
at (0,3) on the map. Is his ordered pair
correct? Explain.
Answers
What is the measure of angle F in degrees?
Answers
Someone please do this!
Answers
Answer:
£518.42
Step-by-step explanation:
Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount?
Answers
Need help plz help plz
Answers
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The theorem that applies to this question is the theorem of external angles. And it translates to:
[tex]11x +2 = 58 + 5x + 10[/tex]
Collect Like Terms
[tex]11x -5x = 58 + 10-2[/tex]
[tex]11x -5x = 66[/tex]
[tex]6x = 66[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{66}{6}[/tex]
[tex]x = \frac{66}{6}[/tex]
[tex]x = 11[/tex]
What is the solution to the egquation 3(2x+5) = 3x+4x?
O x=0
O x=4
O x=5
O x=15
Answers
Answer:
this is the answer (x=5)
Answer:
X=15
The last bubble
Solve m+4>9
The solution is __
Answers
Answer:
m>5
Step-by-step explanation:
Answer:
m > 5
Step-by-step explanation:
m+4>9
m > 9 - 4
m > 5
or
m ∈ 《5 , +∞》
Which expression is not equivalent to 3x-2
Answers
Answer: Let's simplify step-by-step.
3x−2
There are no like terms.
So it going to be the same, =3x-2
Step-by-step explanation: hope you understand
Answer:
2x + 2 + x
Step-by-step explanation:
just please help help help help
Answers
Answer:
C.{(-3,10),(-2,5),(1,2),(-2,-4)}
Solve for x.
a. 16
b. 11
c. 6
Answers
a triangles angles must add up to 180 degrees. 70+60=130 so 180-130=50. so the last angle is 50 degrees. then u set up 8x+2=50 and solve.
Mrs. Barnes washed 2 7 of her laundry. Her son washed 1 4 of it. Who washed most of the laundry? How much of the laundry still needs to be washed? Solve this on paper. Then check your work on Zearn. Who washed most of the laundry?
Answers
Answer:
first u gotta take a step then kidnap a kid from brazil and then solve the problem
Step-by-step explanation:
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Her son washed the most laundry.
The number of laundries that need to be washed is 46.5%.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The number of laundries Mr. Barnes washed = 2/7.
This means,
= 2/7 x 100
= 28.5%
The number of laundries her son washed = 1/4.
This means,
= 1/4 x 100
= 25%
We see that,
Her son washed the most laundry.
The number of laundry needs to be washed.
= 100% - (28.5% + 25%)
= 100% - 53.5%
= 46.5%
Thus,
Her son washed the most laundry.
The number of laundries that need to be washed is 46.5%.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ5
2x - 3y = 3 solve y
Answers
Answer:
Y=-1+2x/3
Step-by-step explanation:
Move all the terms that don't contain y to the right side and solve. Hope this helps!