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Igoryamba
3 years ago
14

Find the slope of the line going through the given pair of points. (-4, 0) and (0, -3)

Mathematics
2 answers:
Lynna [10]3 years ago
8 0

Answer:

Step-by-step explanation:

alexdok [17]3 years ago
5 0
Slope = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-3))/(-4-0) = 3/(-4) -3/4
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The linear equation y = mx + b contains the point (4, -2) and is perpendicular to the
xenn [34]

A linear equation is represented as: y = mx + b.

The equation of the line is: y =3x - 14

First, we calculate the slope (m) of 6x + 18y = 11

Make y the subject

18y = -6x + 11

Divide by 18

y = -\frac{1}{3}x + \frac{11}{18}

In y = mx + b

m \to slope

So, the slope of y = -\frac{1}{3}x + \frac{11}{18} is:

m = -\frac 13

Since, the line is perpendicular to 6x + 18y = 11

The slope of the line is:

m_1 = -\frac{1}{m}

So, we have:

m_1 = -\frac{1}{-1/3}

m_1 = 3

The line passes through (4,-2).

So, the equation is:

y =m(x - x_1) + y_1

This gives:

y =3(x - 4) -2

y =3x - 12 -2

y =3x - 14

Hence, the linear equation is:

y =3x - 14

Read more about  at:

brainly.com/question/11897796

7 0
3 years ago
A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
 W1²+16W1+60-W1²-4W1-300=0
 12W1-240=0
 W1=240/12
 W1=20 ft

 5. And the length is:

 L1=W1+4
 L1=20+4
 L1=24 ft
8 0
3 years ago
A rocket is launched from ground level. The height of the rocket can be
abruzzese [7]

Answer: 11.25 secs

Step-by-step explanation:

So in this sense the rockets origin or the ground is modeled at h=0 so the time required if used on a table shows that h=0 between the values of 11 and 12. So if you plug and chug decimal values between these two values you get exactly 0 at t=11.25 so it takes approximately 11.25 seconds for the rocket to return to the ground

3 0
3 years ago
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data samp
Marizza181 [45]

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

5 0
2 years ago
twenty students went to a fast food restaurant everyone ordered a hamburger and a drink hamburgers cost 3.25 each and drinks cos
Natali5045456 [20]

Answer:

g fggggerbhyujgtvfrdc

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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