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serious [3.7K]
3 years ago
7

solve for the y-intercept. Show your work! Then list the slope-intercept form of the line (-15,-17) (14,10)

Mathematics
2 answers:
Paladinen [302]3 years ago
4 0

Answer:

slope for y intercept={10--17)/(14--15)=27/29

Triss [41]3 years ago
3 0

Answer:

  • The line is y = 27/29x - 88/29
  • The y-intercept is (0, -88/29)

Step-by-step explanation:

<u>Given point:</u>

  • (-15,-17), (14,10)

<u>Slope-intercept form:</u>

  • y = mx + b

<u>Use slope formula:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (10 - (-17))/(14 - (-15)) = 27/29

<u>Use one of the points to find the y-intercept:</u>

  • y = 27/29x + b
  • 10 = 27/29*14 + b
  • b = (29*10 - 27*14)/29
  • b = -88 /29

<u>The line is:</u>

  • y = 27/29x - 88/29
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Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modele
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Answer:

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Step-by-step explanation:

Given

h = -4.9(t - 13)(t + 2).

Required

Determine a reasonable solution for t

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h = -4.9(t - 13)(t + 2). becomes

0 = -4.9(t - 13)(t + 2).

Divide through by -4.9

0 = (t - 13)(t + 2).

Reorder the expression

(t - 13)(t + 2) = 0.

Split

t-13 = 0 or t + 2 = 0

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But time can't be negative, So:

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Moesha has 196 pepper plants that she wants to plant in square formation. How many peppers plants should she plant in each row?
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Hey there!!

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8 0
3 years ago
Read 2 more answers
A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e
iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), y=\frac{3x}{2}

From (3), z=\frac{5x}{4}

Substituting the above in (1), we get,

x+\frac{3x}{2} +\frac{5x}{4} =570

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = \frac{3(152)}{2}

y = 228

z = \frac{5(152)}{4}

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

<u>Check:</u>

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5


8 0
3 years ago
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