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3 years ago

What is the slope of the line that passes through the points (-8,-7) and (-8,-8)?

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

Answer:

Undefined

Step-by-step explanation:

$\frac{-7-(-8)}{-8-(-8)}$ = $\frac{1}{0}$

You cannot divide by zero making the slope undefined

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Find the missing sides.

love history [14]

Answer:

Part 3)

$x=6\ units$

$y=3\ units$

Part 4) $x=18\sqrt{2}\ units$

Step-by-step explanation:

Part 3)

step 1

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

$cos(30\°)=\frac{3\sqrt{3}}{x}$

and remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}$

Simplify

$x=(2*3)=6\ units$

step 2

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

$sin(30\°)=\frac{y}{x}$

and remember that

$sin(30\°)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{y}{6}$

$y=6/2=3\ units$

Part 4) Find the value of x

Applying the Pythagoras Theorem

$x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units$

Simplify

$x=18\sqrt{2}\ units$

6 0

3 years ago

The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common

zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

$a_n=a_1+d(n-1)$

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

$a_3=9$

$n=3$

substitute

$9=a_1+d(3-1)$

$9=a_1+2d$ ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

$S=\frac{n}{2} [2a_1+(n-1)d]$

we have

The sum of the first 8 term is 42

$S=42$

$n=8$

substitute

$42=\frac{8}{2} [2a_1+(8-1)d]$

$42=4[2a_1+7d]$

$10.5=2a_1+7d$ ----> equation B

Solve the system of equations

$9=a_1+2d$ ----> equation A

$10.5=2a_1+7d$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

$a_1=14\\d=-2.5$

The first term is 14

The common difference is -2.5

8 0

3 years ago

Which fraction is equivalent to 825/1020

sweet [91]

$\dfrac{825}{1020}=\dfrac{825:5}{1020:5}=\dfrac{165:3}{204:3}=\dfrac{55}{68}\\\\\\\boxed{\frac{825}{1020}=\frac{55}{68}}$

8 0

4 years ago

What is the slope formula? O A. 4- x O B. Kn Xx - * C. *-* y - 1 D. *+ *;

Ad libitum [116K]

Answer:

the slope formula is

M=rise/run= y2-y1/ X2-X1 so the correct awnser to the picture is b

7 0

3 years ago

kevin and some college friends are hiking on a trail that is 70 feet above sea level they hike into a canyon that is about 14 fe

Fiesta28 [93]

84 feet because you would just add the 70 and 14 together

5 0

3 years ago