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4 years ago

G(x) = -10x2+ 490 lesser x= greater x =

Mathematics

1 answer:

Sergeu [11.5K]4 years ago

7 0

Answer:

Greater x =+ 7

Lesser x = -7

Step-by-step explanation:

G(x) = -10x2+ 490

Let the left side = 0

So we have

0= -10x2+ 490

Solving the above now by allowing the variable with the coefficient of x cross the equal sign.

10x²= 490

Dividing by 10

X²= 490/10

X² = 49

Taking the root of both sides

X= √49

X = + 7or -7

Bigger x =+ 7

Smaller x = -7

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Point P lies on circle C, x^2+y^2=36. There are two unique tangents to circle D, x^2+y^2=18 that pass through point p. What is t

Anastasy [175]

Answer:

90°

Step-by-step explanation:

Circle C has radius √36 = 6

Circle D has radius √18 = 3√2

As the D radius intersecting either point of tangency, does so at a right angle.

The half angle θ between the tangents is

sinθ = 3√2 / 6 = ½√2

θ = 45°

so the angle between the tangents is 2(45) = 90°

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3 years ago

How to get the answer to this equation 1+4=5 2+5=12 3+6=21 8+11=?

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3 years ago

Slope = -1/6; (12,-2)

stira [4]

Equation is y = -1/6x

Step-by-step explanation:

Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.

⇒ y = mx + b

⇒ -2 = -1/6 × 12 + b

⇒ -2 = -2 + b

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Step 2: Write the equation in slope intercept form.

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3 years ago

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Answer:

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3 years ago

A circle has a radius of (6x+11) centimeters. Which statement is true?

PolarNik [594]

If a circle has a radius of $(6x + 11)$ , it is true that: D. The circumference of the circle is $(12x + 22) \pi $ cm$

Recall the following about a circle:

Area of a circle = $\pi r^2$

Circumference of a circle = $2 \pi r$

If a circle has a radius of $(6x+11) $ cm$ , the area and circumference of the circle would be the following:

Area of a circle = $\pi r^2$

Substitute $r = (6x+11)$ into the area formula

$\pi (6x + 11)^2$

Expand

$\pi \times (6x + 11) \times (6x + 11)\\\\\pi \times(36x^2 + 66x + 66x + 121)\\\\\pi \times (36x^2 + 132x + 121)\\\\ area = (36x^2 + 132x + 121) \pi $ cm^2$

Circumference of a circle = $2 \pi r$

Substitute $r = (6x+11)$ into the circumference formula

$2 \times \pi \times (6x + 11)\\\\Circumference = (12x + 22) \pi$

Therefore, if a circle has a radius of $(6x + 11)$ , it is true that: D. The circumference of the circle is $(12x + 22) \pi $ cm$

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brainly.com/question/14772815

6 0

3 years ago

Read 2 more answers