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2 years ago

Which expression is equivalent to 15a−32b?

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

6 0

(3 x 5a) - (8 x 4b)

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a)express x^2+12x+11 in the form (x+p)^2+q b)A curve has equation y=x^2+12x+11. What are the co-ordinates of the turning point o

sveticcg [70]

a) (x+6)^2-25

b) (-6, -25)

Step-by-step explanation:

Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.

For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).

Hope that helped,

-sirswagger21

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2 years ago

Using the graph as your guide, complete the following statement.

lapo4ka [179]

The answer to this question will be A

6 0

2 years ago

Trigonometry need help on this one

morpeh [17]

Answer:

Step-by-step explanation:

you have a right triangle, more precisely is a isosceles right triangle, as you have one angle= 45⁰, the other angle is also= 45⁰

In this triangle the hypotenuse, c, is

c=9 $\sqrt{2}$ = 12.72

7 0

2 years ago

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$

Substitute 1 in for r

$\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189$ = Volume

Finding the Height of a Cone

Volume formula for Cone: $V = \pi r^2\frac{h}{3}$

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

$h = \frac{3V}{\pi r^2}$

Plug in the volume and the radius.

$h = \frac{3(4.189)}{\pi (1)^2}$

Simplify

$h = \frac{12.567}{\pi }$

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

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2 years ago

an initial population of 5 squirrels increases by 9% each year for 10 years.using x for years and y for the number of squirrels,

ivann1987 [24]

Answer:

Equation: y(1.09)^x

After 10 years there will be about 12 squirrels.

Step-by-step explanation:

y(1.09)^x

=5(1.09)^10

=(approx.) 12 squirrels

5 0

2 years ago