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3 years ago

What is the slope of a line perpendicular to a line with slope –9?

Mathematics

1 answer:

7nadin3 [17]3 years ago

3 0

Answer:

The answer is 1/9.

Step-by-step explanation:

When solving for the slope of a perpendicular line to a given, you have to flip the opposite reciprocal.

First take the number and flip the reciprocal, in this case -9 turns into -1/9.

Then flip the sign, like making a negative to a positive or a positive to a negative. In this case make -1/9 into 1/9

Therefore the answer is 1/9.

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The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).

Zina [86]

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula $\frac{x_1+x_2}{2} = Xmp$ $\frac{y_1+y_2}{2} =Ymp$

$\frac{6+x_2}{2} = 1$ $\frac{-2+y_2}{2} =2$

multiply each by 2 to simplify

$\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2$ $\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4$ take the equations and simplify

6+ $x_{2}$ = 2 -2+ $y_{2}$ = 4 =

-6 -6 +2 +2

$x_{2}$ = -4 $y_{2}$ = 6

To check use the Midpoint formula

$\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)$

8 0

3 years ago

Evaluate the following expression using the values given: Find 2x - 3y - z if x = -2, y = 3, and z = -2

Romashka [77]

<span>2x - 3y - z
Substitute the variables for the numbers provided for them
</span><span>2(-2) - 3(3) - (-2)
Multiply 2 by -2
-4 - 3(3) - (-2)
Multiply -3 by 3
-4 - 9 - (-2)
Subtract 9 from -4
-13 - (-2)
Convert Subtract -2 from -13. It would be the same as adding 2 to -13.
Final Answer: -11</span>

5 0

3 years ago

PLEASE HELP ME!! i have to answer this question fast please help

otez555 [7]

Y=-1/4x+7.5 is the right equation

5 0

3 years ago

1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

$t_{7}$ = a + 6d

$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(d) $t_{27}$ = a + 26d

$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

$t_{27}$ = - 53

5 0

3 years ago

2/9 of students in a school are in 6th grade, how many 6th graders are there if the school has 90 students?

dedylja [7]

20 of the students would be 6th graders, hope that helps!

3 0

3 years ago