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2 years ago

11

Help me find the slope to these points (2,5) and (8, -4)

1 answer:

ale4655 [162]2 years ago

4 0

Answer:

slope = -3/2

Step-by-step explanation:

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1/x2−x1.

We have that x1=2, y1=5, x2=8, y2=−4.

Plug the given values into the formula for slope: m= (-4)-(5)/ (8)-(2) = -9/6 = -3/2

the slope of the line is m = -3/2

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20 % of 2 is equal to <br><br> A. 20 <br> B. 4 <br> C. 0.4 <br> D. 0.04

ExtremeBDS [4]

I think the answer is 0.4

4 0

3 years ago

Help please, stuck on this one!

allochka39001 [22]

Answer:

AFCE = 30

P+Q = 11

Step-by-step explanation:

From the picture, you can see the figure can be decomposed into two identical large triangles with area 20, and 4 identical longer ones, that have to cover the remaining area 40, thus 10 each.

From that you can count the area.

Second puzzle is just trial and error.

4 0

3 years ago

A school bus has seating for 75 students. There are 13 buses at a school. What is the maximum number of students

stepan [7]

Answer:

75 students and 13 buses are just 75 x 13

975 students

Step-by-step explanation:

75 x 13 = 975

7 0

3 years ago

Read 2 more answers

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

4 years ago

A regular-size box of cereal measures 3 1/2 inches by 8 1/2 inches by 15 inches. The manufacturer also sells an individual-size

Phoenix [80]

The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the standard dimensions are:

l = 3(1/2) = 3 + 0.5 = 3.5 inches.

w = 8(1/2) = 8 + 0.5 = 8.5 inches.

h = 15 inches.

The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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4 0

2 years ago