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3 years ago

What is the slope of the line joining (8,8) and (12, 6)?

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

$\huge \boxed{ \boxed{ - \frac{1}{2} }}$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\$

We have the final answer as

$- \frac{1}{2} \\$

Hope this helps you

You might be interested in

the lateral area of a cylinder is 325 pi in2 the radius is 13 in find the following Volume. surface area

Nesterboy [21]

Volume: 2112.5π
Surface Area: 663π

First, let's find the height of the cylinder. Using the formula for lateral surface area, 2*π*r*h:

2*π*13*h = 325π
(divide π by both sides)
26h = 325
h = 12.5 in.

Next, let's solve the surface area of the cylinder using the formula π*r²*h.

π * 13² * 12.5 = π * 169 * 12.5 = 2112.5π.

Next, let's solve the surface area using the formula 2πrh + 2πr².

(2 * π * 13 * 12.5) + (2 * π * 13²) = 325π + 338π = 663π.

5 0

3 years ago

Graph x^2/49+y+1^2/4=1

11Alexandr11 [23.1K]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

Perhaps you want a graph of ...

x^2/49 +(y +1)^2/4 = 1

This is an ellipse centered at (x, y) = (0, -1) with a major axis in the x-direction of 14, and a minor axis in the y-direction of 4.

3 0

3 years ago

A news report says that 9% of middle school students are on the track team.

Ratling [72]

Answer:

54 students.

Step-by-step explanation:

If you have 600 and 9% the nearest rounding point is %10. %10 of 600 is 60, and 1% of 60 is 6, so 60-6=54.

3 0

3 years ago

Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20

zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

$x+8y=-2\\x=-2-8y$

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

$x-3y=20\\(-2-8y)-3y=20$

We can then simplify:

$-2-8y-3y=20$ Given equation

$-2-11y=20$ Combine y terms

$-11y=22$ Add 2

$y=-2$ Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

$x+8y=-2$

$x+8(-2)=-2$ Substitute for y

$x-16=-2$ Distribute 8

$x=14$ Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0

3 years ago

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

Reika [66]

N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19 |subtract n² from both sides

n = 4n - 15 |subtract 4n from both sides

-3n = -15 |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.

6 0

3 years ago