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3 years ago

Write the equation of the parabola in vertex form. Vertex (2,1), point (3, -4)

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

U=1-5(x-2)^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k

Thus, the equation of the parabola is y=a(x−2)2+1

To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1

Solving this equation, we get that a=−5

Thus, the equation of the parabola is y=1−5(x−2)^2

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Please help me find 'x' your help would be much appreciated -Thanks

Vladimir79 [104]

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

4 0

2 years ago

Evaluate the given expression if x = 25, y = 10, w = 11, and z = 18. (see the image)

hammer [34]

Answer:

Step-by-step explanation:

So we have the expression:

$(x-y)^2+10wz$

And we want to evaluate it when x=25, y=10, w=11, and z=18.

So, substitute these values for the variables:

$=(25-10)^2+10(11)(18)$

First, subtract within the parentheses:

$=(15)^2+10(11)(18)$

Square 15:

$=225+10(11)(18)$

Now, multiply the terms on the right. 10 times 11 is 110:

$=225+110(18)$

Multiply:

$=225+1980$

Finally, add:

$=2205$

So, our answer is D.

And we're done!

8 0

3 years ago

Read 2 more answers

Find the slope of the line (2, 4), (0, 2) and (0, 0), (3, 18)

My name is Ann [436]

Answer:

for the first one, the slope is 1

second one there isn't a slope.

Step-by-step explanation:

( x 1 - y 1 )

_______

( x 2 - y 2 )

6 0

2 years ago

Wats 200 + 142 Only genius can answer this!!! Lol

attashe74 [19]

Answer:

342

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I need this urgently!! I need by 7:15!!

Sati [7]

The question is telling you that the length of the rectangle is 3 metres more than twice the width.

So let:

w= width

L= length

Because the length is 3 metres more than twice the width: L= 2w+3

They also tell you the perimeter is 48 metres.

P= L+L+w+w

So the equation of the perimeter is:

48= (2w+3)+(2w+3)+2w +2w

48= 2(2w+3) + 4w

To find w, expand and simplify.

48= 4w+6+4w

48= 8w + 6

42= 8w

5.25=w

Now that you know the width, plug in the value into the length equation:

L= 2w+3

L=2(5.25)+3

L=10.50+3

L=13.5

If I am wrong let me know! I hope this helps.

6 0

3 years ago