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Luda [366]
4 years ago
12

Which equation has a graph that is a parabola with a vertex at (5,3)?

Mathematics
1 answer:
lara [203]4 years ago
6 0

Answer:

y =  (x -5)² + 3.

Step-by-step explanation:

Given : parabola with a vertex at (5,3).

To find : Which equation has a graph that is a parabola.

Solution : We have given vertex at (5,3).

Vertex form of parabola : y = (x -h)² + k .

Where, (h ,k )  vertex .

Plug h = 5  , k= 3 in vertex form of parabola.

Equation  :y =  (x -5)² + 3.

Therefore, y =  (x -5)² + 3.

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Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the l
Pie

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

8 0
3 years ago
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Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the
kifflom [539]

Answer:

sin(72°)=x÷20ft.

sin(72°)×20ft.= 19ft 252 inches

the ladder reach 19ft 252 inches tall on the building.

Step-by-step explanation:

7 0
2 years ago
Question 3 Unsaved
bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}

Simplify to get

Y(s) = \frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]

Take inverse

y(t) = \frac{e^{-3t} -e^{-5t}}{2}

8 0
3 years ago
PLEASE PLEASE HELP I REALLY NEED IT <br> QUESTION 2
alukav5142 [94]
It will take her 51.4 minutes.


Explanation:

You would do 12/7 and then multiply that answer by 30.

7 0
3 years ago
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The distance between 5,3 and 1,3
mel-nik [20]

Answer:

(4,0)

Step-by-step explanation:

(5,3) (1,3)

You need to subtract from the x axis on both coordinates and the y axis in both coordinates.

(5-1) (3-3)

(4,0)

I also checked on a graph as well, so it's correct.

4 0
3 years ago
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