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AlladinOne [14]
3 years ago
9

The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx +

b$. Find $m+b$.
Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

m = -1/2 and b = 6.5

Step-by-step explanation:

To find the slope of the original line segment, we have to do the change in y/the change in x:

(4-8)/(-5--3) = -4/-2 = 2

2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2

To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:

y = mx + b

8 = -1/2(-3) + b

8 = 3/2 + b

6.5 = b

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Are these triangles SSS congruent??
Nadya [2.5K]

Answer:

no

Step-by-step explanation:

the sides do not have the same measurments which is required of the SSS postulate

7 0
2 years ago
A professor has kept records on grades that students have earned in his class. If he wants to examine the percentage of students
AleksandrR [38]

Answer:

Pie chart

Step-by-step explanation:

Given that a  professor has kept records on grades that students have earned in his class

He wants to examine the percentage of students earning the grades A, B, C, D, and F during the most recent term,

We have to find which kind of plot could he make

Box plot gives comparison for interval of scores this is to some extent helpful to find out the percentage of students getting a range of scores

Timeplot is irrelevant here.  Dot plot will not be of much use.  

Histogram is to some extent useful as box plot

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8 0
3 years ago
Need help on answering number 13.
Genrish500 [490]
You can find the value of y when you substitute the x value into the equation.

Since x = 3, the equation becomes:
y = 3 + 5

The answer to question 13 is y = 8
6 0
3 years ago
Read 2 more answers
If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?
emmasim [6.3K]

Answer: 200\ cm^3

Step-by-step explanation:

Given

The dimension of the rectangular prism is

l=5\ cm\\w=10\ cm\\h=4\ cm

The volume of the prism is given by V=l\times w\times h

\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3

Therefore, the volume of the prism is 200\ cm^3.

7 0
2 years ago
I am not sure if this is right can someone check it ASAP please
NikAS [45]

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

6 0
3 years ago
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