Please help!!!! Thank you!!!! (25 points)

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Aneli [31]

Answer:

A.

Step-by-step explanation:

Slope = y2-y1/x2-x1

(2,-4) = (x1,y1)

(4,2) = (x2,y2)

Slope = (2+4)/(4-2)

= 6/2

= 3

Y=mx+b [Plugging (4,2) into this]

2 = 3×4 +b

2 = 12 + b

b = -10

3 0

3 years ago

Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x )

Genrish500 [490]

Answer:

Step-by-step explanation:

$y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)$

3 0

3 years ago

Which of the following is not a true statement about pi?

FinnZ [79.3K]

Answer:

Option D.The ratio of the radius of a circle to its circumference

Step-by-step explanation:

<em>Verify each statement</em>

A) The ratio of the circumference of a circle to its diameter

The statement is True

Because

$C=\pi D$

so

$\pi=C/D$

B) Approximated to be 3.14

The statement is True

Because $\pi=3.14159265...$

C) Approximated to be 22/7

The statement is True

Because

$\frac{22}{7}=3.1423$

D) The ratio of the radius of a circle to its circumference

The statement is not True

Because

$\frac{r}{2\pi r}=\frac{1}{2\pi}$

4 0

2 years ago

Find the value of y.

Phoenix [80]

$\boxed{y=6\sqrt{3}}$

<h2>Explanation:</h2>

For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

$\frac{x}{3}=\frac{12}{x} \\ \\ x^2=36 \\ \\ x=\sqrt{36} \\ \\ x=6$