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3 years ago

If you are driving at a rate of 55 miles per hour, about how many feet per second are you traveling?

1 answer:

3 0

$55\ \frac{miles}{hour}\\\\
1\ mile\ =\ 5280\ feet\\
1\ hour=\ 3600\ second\\\\
55*\frac{5280}{3600}=80,7\frac{feet}{second}$

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If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.

uysha [10]

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

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2 years ago

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-4(x+1)-3=-3(x-4) solve for x please. Giving brainliest

Sophie [7]

Answer:

-19 = x

Step-by-step explanation:

Step 1: Write equation

-4(x + 1) - 3 = -3(x - 4)

Step 2: Solve for x

Distribute: -4x - 4 - 3 = -3x + 12

Combine like terms: -4x - 7 = -3x + 12

Add 4x on both sides: -7 = x + 12

Subtract 12 on both sides: -19 = x

4 0

3 years ago

Read 2 more answers

30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

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3 years ago

Solve: p - 8 = -16 20 characters rule

vlada-n [284]

Answer: p-8=-16

p=-16+8

p=-8

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2 years ago

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The product of 2r- t and 5m + 3=

DaniilM [7]

Answer: $10rm+6r-5tm-3t$

Step-by-step explanation:

$(2r-t)(5m+3)\\\\=10rm+6r-5tm-3t$

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2 years ago