Select the correct equation.
The focus and directrix of a parabola are shown. What is the equation of the parabola?
Answers
Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}[/tex]
Answer: UR WELCOME
Step-by-step explanation: ANSWER ON EDMENTUM
Related Questions
I need help on this
Answers
Answer:
(1,0)
Step-by-step explanation:
Subtract the x's and y's from eachother than divide this by two. Add this number onto the lowest of the x and ys and you get the midpoint. The same as fining the middle of two numbers but you are dealing with 2 pairs of numbers
A 12-inch diameter pizza has 22 calories per square inch.
About how many calories are in the entire pizza?
Use 3.14 for pi.
Select from the drop-down menu to correctly complete the statement.
There are about
Choose...
calories in the pizza. optains : 264, 414, 2487, 9948
Answers
Explanation: Shown below. :)
Answer:
the answer is 2487
Step-by-step explanation: i took the test
jane takes 4 hours to do a job that Alice can do in 3 hours. if jane works 1/2 hour before Alice joins her, how long will it take the two of them to finish the job
Answers
Answer:
2.4 hours
Step-by-step explanation:
A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.
1. What is the unit rate of cream cheese for sugar?
2. what is the unit rate of sugar for cream cheese?
(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)
Answers
Answer:
the unit rate of cream cheese for sugar is .8
the unit rate of sugar for cream cheese is 1.25
Step-by-step explanation:
I hope this is correct / helps! :)
On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length it was on Monday.
Which expressions could represent how many centimeters long Florencia's hair was after the haircut?
(The Question says to pick 2 answers out of the multiple choice options so here you go)
A. h (1-0.75)
B.(1- 75/100) h
C. 3/4 h
D. 0.75 h
E. 1/4 h
Answers
Answer:
D
Step-by-step explanation:
75/100 = .75 x the Monday length (h)
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?(must be a whole number)
Answers
Answer:
If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.
Step-by-step explanation:
can someone help me with these three? I just need to find the unit rates for all, I’ll mark as brainliest!!
Answers
Answer:
6. 7.5/1
7. 2.4/1
8. 40/1
Step-by-step explanation:
All you have to do is divide the 2 numbers to find the unit rate.
Answer:
6: 7.5 pizzas per Classroom
7: 2.4 Liters per test
8: 40 Points per Game
Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94
Answers
Answer:
18
Step-by-step explanation:
From the above question,
We have the Algebraic expression
(5x - 4)° + 94° = 180°
5x - 4° + 94° = 180°
5x + 90° = 180°
5x = 180° - 90°
5x = 90°
x = 90°/5
x = 18
Answer:
18
Step-by-step explanation:
What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters
Answers
Answer:
Base of 5mm, Height of 6mm, Width of 7mm214mm^2
Base of 4mm, Height of 4mm, Width of 10mm192mm^2
Base of 5mm, Height of 6mm, Width of 7mm214mm^2
Base of 6mm, Height of 3mm, Width of 2mm72mm^2
7mmLittle over 1/4 Inch0.27559 Inches
The total surface area is 124 square millimeters.
What the surface area of a rotating prism?To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.
The total surface area of a Prism = (2 × Base Area) + (Base perimeter × Length).
Here, area of base is Area=2(Base×Height)
= 2(6×4)
= 12 square millimeters
Now, Base perimeter × Length= (5+5+6)×7
= 16×7
= 112 square millimeters
Total area = 12+112
= 124 square millimeters
Therefore, the total surface area is 124 square millimeters.
To learn more about the surface area of a prism visit:
https://brainly.com/question/28016184.
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Solve for x. Round your answer to the nearest tenth.
9.2
X
16.5
Answers
Answer:
152
Step-by-step explanation:
What is the slope of the line shown?
A. slope = 3
B. slope = 1/2
C. slope = 2
D. slope = -3
Answers
Answer:
The answer is B - 1/2.
Step-by-step explanation:
Rise over run tells you the slope. You take two points (in this it's (0,-3) and (6,0)) and you see how many units it takes to be on the same y line as the other point. Then you do the same for the x line. You divide the rise (y line) by the run (x line) and that's your slope.
One morning, the thermometer read -14 fahrenheit. By noon, the temperature had risen 12 degrees. What was the temperature at noon?
Answers
Answer:
-2 degrees
Step-by-step explanation:
-14 + 12 = -2
Which rational expression is equal to a positive whole number when evaluated?
8 1/3
15 1/5
212
12 1/4
Answers
PLSSSS HELP IM BEGGING YOU PLSSSS
Answers
9.2 x 10^4 in scientific notations
9 x 10,000 + 2 x 1,000
Simplify 9 x 10,000 and 2 x 1,000:
90,000 + 2,000
= 92,000
A measure of how much space something takes up ?
Answers
Answer:
Volume
Step-by-step explanation:
Mass is measured using a scale. Volume is the amount of space matter takes up. Volume can be measured by multiplying the length, width, and height of an object, or by using a measuring cup and seeing how the measurement of water changes in a cup. Density is the amount of matter an object has in a certain space.
Answer:
VOLUME
Step-by-step explanation:
Last year, Michael opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 23.5%. How much is this
decrease in dollars? How much money was in his account at the end of last year
Answers
Help! What is the slope of the line represented by the equation y = 4/5 x - 3?
A) -3
B) -4/5
C) 4/5
D) 3
Answers
Hope this helped!
in integers how to know if minus (-) 1 upon 2 is greater or minus (-) 1 is greater???
Answers
Answer:
1/2 is 0.5 so -1/2=-0.5
-0.5 is greater than -1
use a number line
Step-by-step explanation:
By looking at the number line we can easily tell which integers are greater (larger) than a certain number and which are less (smaller) than the number. When two numbers are located on a number line, the number to the right is larger than the number to the left. –1 is less than –1/2 because it is to the left of –1/2.
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
Alek gives 18 flowers to each person at his office, There are 42 people at his office. How many flowers does alek give away?
Answers
Answer:
he gives away 756 flowers
Step-by-step explanation:
18*42=756
After dinner 1-3 of the corn bread is left suppose 2 friends want to share it equally what fraction names how much of the whole pan of corn bread each f riend will get
Answers
Answer:
Each friend will get [tex]\frac{1}{18}[/tex] of whole pan of corn bread
Step-by-step explanation:
As given,
Corn bread left = [tex]\frac{1}{3}[/tex]
Total number of friends = 2
So the left bread will divide into 2 parts
So, each person will get = [tex]\frac{1}{2}[/tex] ( [tex]\frac{1}{3}[/tex] ) = [tex]\frac{1}{6}[/tex] of the left bread
Now,
Left bread = [tex]\frac{1}{3}[/tex] of whole bread
And
Each person get = [tex]\frac{1}{6}[/tex] of the left bread
= [tex]\frac{1}{6}[/tex] ×[tex]\frac{1}{3}[/tex] of whole bread
= [tex]\frac{1}{18}[/tex]of whole bread
∴ we get
Each friend will get [tex]\frac{1}{18}[/tex] of whole pan of corn bread
PLEASE HELP I WILL MARK BRAINLIEST
name 2 rights of someone accused of a crime that you observe in the pic above.
A. right to a trial and lawyer
B. right to a lawyer and providing evidence
C. Trial with a judge and witness
D. Right to take notes and provide evidence for defence
Answers
Answer:
it is b the right to evidence lawyer.
Answer:
B. right to lawyer and providing evidence
Step-by-step explanation:
Can someone please help me with this question.Select all the expressions equivalent to:
20a + 10b
a:5(4a + 2b)
b:10(2a + b)
C:2(10a + 5)
D:2(10a + 5b)
E:5(4a - 2b)
Answers
Answer:
a
b
d
i did this for notes really helps
How do you simplify 14.938 - 14.93 ?
Please help
Answers
Answer:
0.008
Step-by-step explanation:
To know the steps pls look at the pic above
HELP QUICK whats the domain and range of g(x)=√x-3+5
Answers
Answer:
check it..
Step-by-step explanation:
domain and range...
write an expression for the perimeter of the triangle shown below 2.3x + 14 2x -0.2x + 15
Answers
Answer:
4.1x + 29
Step-by-step explanation:
So the perimeter would be the sum of all of the sides, so:
[tex]2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29[/tex]
Answer: 4.5x+ 29 which is 3, so 3 is correct.
Step-by-step explanation:
P = a+b+c
First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)
Select the correct answer. Which equation describes the line graphed above? A. y=-4x-5 B. y=-1/5x-4 C. y=-5x-4 D. y=-4x-1/5
Answers
Answer:
Option B
Step-by-step explanation:
Answer: B.
Step-by-step explanation: Plato
1- The area of a parallelogram is 507 cm2. Its height is six times its base. Find the height and base.
Answers
Answer:
507=b x (3 x b)
507=b x 3b
507=3b^2
b^2=507/3
b^2=169
b=13
h=3 x b
h=3 x 13
h=39
Step-by-step explanation:
The height and base of the parallelogram is b = 13 cm and h = 78 cm
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the area of the parallelogram be represented as A
Now , the value of A = b x h
where the base of the parallelogram is b
The height of the parallelogram is h
So , 507 = b x h
And , height is three times its base
So , h = ( b x 3 )
On simplifying , we get
507 = b ( b x 3 )
507 = 3b²
Divide by 3 on both sides , we get
b² = 169
Taking square roots on both sides , we get
b = 13 cm
So , the height of the parallelogram is h = 78 cm
Hence , the parallelogram is solved
To learn more about parallelogram click :
https://brainly.com/question/23488153
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So like I need help on this,
Choose the graph that represents the figure and classify it. Then find the area.
D(-1, -1), E(-1, 3), F(2, 4), G(2, -3)
Answers
Answer:
Trapezoid with the area 16.5 unit²Step-by-step explanation:
Plotted the given points to find out the figure is trapezoid.
Area formula for trapezoid:
A = 1/2(b₁ + b₂)hThe length of the bases:
b₁ = DE = 3 - (-1) = 4b₂ = FG = 4 - (-3) = 7h is the horizontal distance between the bases:
h = 2 - (-1) = 3The area is:
A = 1/2(4 + 7)(3) = 16.5 unit²BRAINLIEST to wherever gets this correct
Answers
Answer:
[tex]300\pi[/tex] cubic feet
Step-by-step explanation:
Let r be the radius of cone and h be the height of cone.
Radius of cylinder=r
Height of cylinder=h
Volume of cone=[tex]100\pi ft^3[/tex]
We have to find the volume of cylinder.
We know that
Volume of cone=[tex]\frac{1}{3}\pi r^2 h[/tex]
[tex]100\pi=\frac{1}{3}\pi r^2 h[/tex]
[tex]r^2 h=300[/tex]
Volume of cylinder=[tex]\pi r^2 h[/tex]
Using the formula
Volume of cylinder=[tex]\pi (300)=300\pi ft^3[/tex]
Hence, the volume of cylinder=[tex]300\pi[/tex] cubic feet
În desen este reprezentat trapezul
ABCD și O punctul de intersecție a di-
agonalelor AC și BD. Completați case-
ta, astfel încât să obțineți o propoziţie
adevărată:
Dacă aria triunghiului DOA este egală
cu 20 cm², atunci aria triunghiului COB
este egală cu
Answers
Answer:
ab hyppotenusejabqianahqiwnna. jajabanqk