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o-na [289]
3 years ago
14

Find the slope of the line passing through the points (7,-9) and (3,-2)

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
(y2-y1)/(x2-x1)
=(-2-(-9)/(3-7)
=7/-4
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A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?
Karolina [17]

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78.57

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A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
  • The area of the rectangle is 45m²

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To Find :

  • The length and width of the rectangle.

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Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

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Let's assume the length of the rectangle as x and the width will be (x – 4).

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Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
write an equation in point slope form of the line that passes through the point (-8,-2) and had a slope of m=5
Ede4ka [16]

Answer:

5x - y + 38 = 0

Step-by-step explanation:

solution:

slope(m) = 5

(x1 , y1) = (-8 , -2)

we know that,

(y - y1) = m(x -x1)

or, (y - -2) = 5(x - -8)

or, y+2 = 5(x + 8)

or, y+2 = 5x +40

or, 5x - y + 38 = 0 is the required equation

3 0
2 years ago
A race car can complete 8 laps in 1/3 hour. At this rate, how many hours will it take the race car to complete 1 lap? 1/240 1/24
Marrrta [24]

Answer:

<h3>1/24</h3>

Step-by-step explanation:

The race car is doing 8 laps in 1/3 hour, in one hour the car is doing:

8laps * (1/3) hour) = 8*3 laps / 1hour = 24 laps/hour.

Now, to complete one lap, the car will it take:

1 lap * (1 hour / 24 laps) = 1/24 hours the race car requires to complete 1 lap. Right answer is:

<h3>1/24</h3>
8 0
3 years ago
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