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Ann [662]
3 years ago
14

PLEASE HELP IN MATH . ( PLEASE GIVE EXPLANATION ) 5 EASY POINTS

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0
The answer is "Design B bulbs will likely last longer than design A bulbs."

The box in a box plot represents the middle 50% of the data. The box for the design B bulbs is farther out than the box for the design A bulbs. Therefore, design B bulbs last longer on average than design A bulbs.
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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
olga2289 [7]

Step 1

<u>Find the slope of the given line</u>

Let

A(-3,2)\ B(2,-1)

slope mAB is equal to

mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}

Step 2

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}

Step 3

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5

Multiply by 3 both sides

3y=5x-15

5x-3y=15

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation 5x-3y=15

4 0
3 years ago
Read 2 more answers
Someone please help thanks!&lt;3
love history [14]

Answer:

y = -5x + 4/3

Step-by-step explanation:

m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.

6 0
2 years ago
What is the remainder when x^3 -1 is divided by (x+2)
Gnom [1K]

Answer:

Use m  athway

Step-by-step explanation:

6 0
3 years ago
Evaluate 4(a^2 + 2b) - 2b when a = 2 and b = –2.
Rama09 [41]

Answer:

4

Step-by-step explanation:

4(4-4)+4=4

insert 2 in a and-2 in b

7 0
3 years ago
Read 2 more answers
Solve log (x + 1) = –x2 + 10 by graphing. Which equations should be graphed?
GarryVolchara [31]
Y2 = log (x+1) is the answer
4 0
3 years ago
Read 2 more answers
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