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satela [25.4K]
3 years ago
7

What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?​

Mathematics
1 answer:
gulaghasi [49]3 years ago
6 0

Answer:

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Step-by-step explanation:

Use the point-slope form:  y - y_{1} = m(x - x_{1})

(x_{1}, y_{1}) = (-4, 2)

y - 2 = -5/4(x + 4)       Multiply by 4 to remove the fraction

4y - 8 = -5(x + 4)

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

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PLEASE HELP ME QUICK
Svetlanka [38]

Answer:

  • m∠ABP  is 32°,
  • m∠ABC is 64°.

Step-by-step explanation:

According to the construction we have:

  • BD = BE
  • PD = PE
  • BP - is common side of triangles BPD and BPE

It gives us:

  • ΔPBD ≅ ΔPBE

Then, corresponding angles of congruent triangles are congruent:

  • ∠DBP ≅ ∠EBP

So,

  • ∠ABP ≅ ∠CBP ⇒ m∠ABP = 32°

Then,

  • m∠ABC = m∠ABP + m∠CBP = 32° + 32° = 64°  
7 0
2 years ago
What is the base....
olga2289 [7]

Answer:

Step-by-step explanation:

-5x the base

3 0
3 years ago
If the scale factor is 5, how many times larger will the scaled copy's area be?
Lady bird [3.3K]

Answer:

25 times

Step-by-step explanation:

Scale factor is the ratio of dimensions of the image and the preimage.

Scale factor = \frac{\text{Side length of image}}{\text{Side length of preimage}}

Since area of a figure is the square of dimensions.

Area = Length × Width

Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.

Area scale factor = \frac{\text{Area of the image}}{\text{Area of the preimage}}

                             = (Scale factor)²

                             = 5²

                             = 25

Therefore, area of the image will be 25 times the area of the preimage.

4 0
3 years ago
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luda_lava [24]

Answer:

1 - (1/3 x 2) = 4 inches (The equation may not be exactly correct but the answer of 4 inches is.)

Step-by-step explanation:

The beetle has 4 inches, 2 of which it already had before hand.

4 - 2 = 2

1/3 distance that the ant is would be 2 inches, so then you would find the number that 2 is one third of.

1/3 = 2/6

1 - 2/6 = 4/6

The ant is 4 inches below ground level.

4 0
3 years ago
At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument
Sholpan [36]

Answer:

6.557377049 but if simplified put either 6.5 or 6.6

Step-by-step explanation:

20 divided by 305 is 0.065. 0.065 times 100 is 6.5 or 6.6. Hope you pass.

6 0
3 years ago
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