The slopes of perpendicular lines _____.a. sum to 0
b. are equal
c. are negative reciprocals
d. sum to 1

Answers

Answer 1
Answer: Hey there

The slopes of perpendicular lines are negative reciprocals. Perpendicular lines have slopes that are negative reciprocals of each other.

= (C) 
Answer 2
Answer:

The slopes of two perpendicular lines are negative reciprocals.

Two lines are considered perpendicular if their slopes are negative reciprocals of each other. This means that if the slope of one line is m, then the slope of the perpendicular line will be -1/m.

For example, if the slope of one line is 2, then the slope of the perpendicular line will be -1/2.

Hence, the slopes of perpendicular lines do not sum to 0, are not equal, and do not sum to 1.

Learn more on slope : brainly.com/question/20719015

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Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll shirt requires 2/7 of a yard of fabric. How many whole shirts can she make for her dolls? a. 2 b. 3 c. 4 d. 5

Answers

Step-by-step explanation:

Since you have 7/8 of a yard of fabric and 2/7 needed you would take the 7/8 and divide by 2/7

7/8 / 2/7

Since these are fractions you would take the second number and turn in into its reciprocal

7/8 x 7/2

49/16

3 1/16

You can make 3 full shirts

What is the common difference between successive terms in the sequence?0.36, 0.26, 0.16, 0.06, –0.04, –0.14,

Answers

the common difference between successive terms

To find the common difference we subtract the first term from second term

0.36, 0.26, 0.16, 0.06, –0.04, –0.14,

0.26 - 0.36 = -0.10

0.16 - 0.26 = -0.10

0.06 - 0.16 = -0.10

-0.04 - 0.06 = -0.10

-0.14 - (-0.04) = -0.10

We can see that the common difference is =0.10

the common difference between successive terms = -0.10

The correct answer is:

-0.10.

Explanation:

The common difference between successive terms in a sequence is the number you add to each term to find the next one.

To find this number, you can subtract the first term from the second, the second from the third, and so on:

0.26-0.36 = -0.10

0.16-0.26 = -0.10

0.06-0.16 = -0.10

-0.04-0.06 = -0.10

-0.14--0.04 = -0.10

The common difference is -0.10.

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38.

What is the value of x?

Answers

As they are vertical angles, their magnitude will be equal.
8x+8 = 2x+38
8x-2x = 38-8
6x = 30
x = 5

So, Your Final Answer would be 5

Hope this helps!

Your Final Answer would be 5

Hope this helps!

What is perpendicular to y= 3x -9 and passes through the point (3,1)

Answers

(3,1) , \ \ y= 3x -9 \n \n The \ slope \ is :m _(1) =3 \n \n If \ m_(1) \ and \ m _(2) \ are \ the \ gradients \ of \ two \ perpendicular \n \n lines \ we \ have \ m _(1) \cdot m _(2) = -1 \n \n3\cdot m_(2)=-1 \ \ /:3\n \n m_(2)=-(1)/(3)

\Now \ your \ equation \ of \ line \ passing \ through \ (3,1) would \ be: \n \n y=m_(2)x+b \n \n1=-(1)/( 3) \cdot3 + b

1=-1+b\n \n b=1+1\n \nb=2 \n \n y =- (1)/(3)x+2


A sailboat has a mast that holds a triangular sail.The sail has a base of twelve meters and a height of nine meters. The cost of the sail is $15 per square meter. What will it cost to make the sail?

Answers

First since it is a triangle and it says meter square that means its an area
so the area is 1/2hb h stands for height and b stands for base
so
a=1/2bh
a=1/2(12)(9)
a=1/2(108)
a=54m^2

It says the cost of sail is $15 per square meter
so
$15*54
=$810

Why times by 54 because if 1 piece is $15 how about 54pcs?
thats why we will multiply it

Answer:

.

Step-by-step explanation:

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1f(x) = −1/12 (x − 5)2 + 2
f(x) = 1/12 (x − 5)2 + 2
f(x) = −1/12 (x + 5)2 + 2
f(x) = 1/12 (x + 5)2 + 2

Answers

From the given information, the parabola is a regular parabola facing up with vertex at (-5, 2).
Required equation is (x + 5)^2 = 4p(y - 2)

But 2 + p = 5 => p = 5 - 2 = 3

Therefore, required equation is (x + 5)^2 = 4(3)(y - 2)
(x + 5)^2 = 12(y - 2)
y - 2 = 1/12 (x + 5)^2
y = 1/12 (x + 5)^2 + 2
f(x) = 1/12 (x + 5)^2 + 2