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2 years ago

Consider the function f(x)=x^2+2x-15. What are the x-intercepts of the function

Mathematics

1 answer:

Zina [86]2 years ago

8 0

Let f(x)=0, you'll get x=3 and x=-5, those are the x-intercepts of the function.

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Find the simplified form of the expression. Give your answer in scientific notation.

cricket20 [7]

(450x(-450x I think

6 0

2 years ago

The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc

Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = $\frac{(\theta)}{360}\times \pi\times r^2$

Plugging the values in the equation.

⇒ $\frac{(\theta)}{360}\times \pi\times r^2$

⇒ $(\frac{20}{360})\times 3.14\times 13^2$

⇒ $29.48$ square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0

3 years ago

Cos 4θ − cos 2θ = sin θ

hichkok12 [17]

$cos(4\theta) - cos(2\theta) = sin(\theta)$
$-2sin(\frac{4\theta + 2\theta}{2})sin(\frac{4\theta - 2\theta}{2}) = sin(\theta)$
$-2sin(\frac{6\theta}{2}sin\frac{2\theta}{2}) = sin(\theta)$
$-2sin(3\theta)sin(\theta) = sin(\theta)$
$\frac{-2sin(3\theta)sin(\theta)}{-2sin(\theta)} = \frac{sin(\theta)}{-2sin(\theta)}$
$sin(3\theta) = -\frac{1}{2}$
$sin^{-1}[sin(3\theta)] = sin^{-1}(-\frac{1}{2})$
$3\theta = -30$
$\frac{3\theta}{3} = \frac{-30}{3}$
$\theta = -10$

7 0

2 years ago

A quadrilateral has angle measures of 41 52 and 54 which is the measure of the last angle

nexus9112 [7]

Answer:

213 degrees

Step-by-step explanation:

A quadrilateral has an internal measurement of angles of 360 degrees. Given that we have 3 measures of the angles, we simply need to find the 4th. This can be accomplished with the following equation:

x + 52 + 54 + 41 = 360

x + 52 + 95 = 360

x + 147 = 360

x = 213

Hence, the measure of the final angle is 213 degrees.

Cheers.

6 0

3 years ago

The mass of the moon is 7.36*10^25 grams to the nearest tenth how many moons would it take to equal the mass of earth

trapecia [35]

Nearly 81 moons will be required to equate the mass of moon to the mass of earth.

Step-by-step explanation:

Mass of earth is 5.972*10^24 kg.

Mass of the moon is 7.36*10^25 g = 7.36*10^22 kg

As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.

Mass of Earth = Number of moons * Mass of Moon

Number of Moons = Mass of Earth/Mass of moon

Number of moons = 5.972 * 10^24/7.36*10^22= 81 moons.

So nearly 81 moons will be required to equate the mass of moon to the mass of earth.

6 0

3 years ago