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3 years ago

What are the x- and y coordinates of point P on the directed

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Answer:

(-4, -5)

Step-by-step explanation:

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A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=

Ad libitum [116K]

the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

a=-2, b=20, c=48

$x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5$

h(5) = -2(5)² + 20(5) + 48

= -50 + 100 + 48

= 50 + 48

= 98

Answer: 98 meters

8 0

3 years ago

What is the common difference between the terms in the following sequence?

Sergeeva-Olga [200]

Answer:

-6

Step-by-step explanation:

Take a couple of differences and see:

11 -17 = -6

5 -11 = -6

The common difference is -6.

8 0

3 years ago

Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

Do you think there are any ordered pairs that are solutions to BOTH y = x + 5 and y = –2x – 1? Explain.

zloy xaker [14]

Answer:

The ordered pair is $(-2,3)$

Step-by-step explanation:

$y=x+5\\y=-2x-1\\\implies x+5=-2x-1\\\implies 3x=-6\\\boxed{x=-2}\\\implies y=-2+5=\boxed {3}\\$

8 0

3 years ago

Read 2 more answers

If the discrminant of a quadratic equation is 4, which statement describes the roots

ryzh [129]

Hi ^^

Note: This answer is already on brainly, but to save up your time here is the answer (the owner of the answer is listed below).

Owner: timothycarney2004

Rank: Ambitious

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Answer: There are two real roots

Step-by-step explanation: Terms in this set (6) If the discriminant of a quadratic equation is 4, which statement describes the roots? B. There are two real roots.

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Anyways bye! <3

4 0

2 years ago