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2 years ago

Which is the equation of the line that passes through the points (-4, 3) and (2, -6)?

Mathematics

1 answer:

olga55 [171]2 years ago

8 0

Answer:

B) y=-3/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-3)/(2-(-4))

m=-9/(2+4)

m=-9/6

simplify

m=-3/2

y-y1=m(x-x1)

y-3=-3/2(x-(-4))

y-3=-3/2(x+4)

y=-3/2x-12/2+3

y=-3/2x-6+3

y=-3/2x-3

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Please explain how to do this

Nat2105 [25]

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

5 0

3 years ago

Read 2 more answers

What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π

mariarad [96]

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

<h3>What is the value of sin (π/2)?</h3>

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is x. Thus,

$x=\sin^{-1}(1)$

Solve it further,

$\sin(x)=(1)$ ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

$\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1$

Put this value in the equation 1,

$\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)$

Thus, the range will be,

$\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)$

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

Learn more about the sine values here;

brainly.com/question/10711389

3 0

2 years ago

The side length of a square is 5.25 inches. What is its area? What is its perimeter? Be sure to show your work for credit and do

Effectus [21]

Answer:

Step-by-step explanation:

area of a square is just L^2 or one of the sides squared

and the perimeter is 4L

that means

Area = 5.25^2

= 27.5625 in^2

Perimeter = 4 * 5.25

= 21 in

3 0

2 years ago

Determine the end behavior of P(x)=3x

ELEN [110]

Answer:

As x ⇒-∞, P(x) ⇒ -∞

As x ⇒ ∞, P(x) ⇒ ∞

Step-by-step explanation:

To find left hand end behavior, plug in negative infinity into the function and evaluate...

P(x) = 3(-∞) = -3(∞) = -∞

The 'y' values of the function decrease towards negative infinity as the 'x' values approach negative infinity

P(x) = 3(∞) = ∞

The 'y' values of the function increase towards positive infinity as the 'x' values approach positive infinity

6 0

3 years ago

Determine whether the function f(x) = -9.5 + 6 + x² is even, odd or neither.

zimovet [89]

Answer:

The function f(x) = -9.5 + 6 + x² is neither odd or even.

Step-by-step explanation:

We know that a function is termed as 'even' when

f(-x) = f(x) for all x

We know that a function is termed as 'odd' when

f(-x) = -f(x) for all x

Given the function

f(x) = -9.5x⁵ + 6 + x²

substitute x with -x

f(-x) = -9.5(-x)⁵ + 6 + (-x)²

as (-x)⁵ = -x⁵, so

f(-x) = -(-9.5x)⁵ + 6 + (-x)²

Apply exponent rule: (-a)ⁿ = aⁿ, if n is even

f(-x) = -(-9.5x)⁵ + 6 + x²

Apply rule: -(-a) = a

f(-x) = 9x⁵ + 6 + x²

f(-x) ≠ f(x) ≠ -f(x)

Therefore, the function f(x) = -9.5 + 6 + x² is neither odd or even.

5 0

2 years ago