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Solnce55 [7]
2 years ago
15

Write an equation for the line in point slope form that passes thru (1,-4) and (3,2)

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
3 0

Answer:

  y+4 = 3(x -1)

Step-by-step explanation:

You are given two points, so you only need to find the slope. The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-4))/(3 -1) = 6/2 = 3

The point-slope equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Using the first point, the equation is ...

  y+4 = 3(x -1)

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30POINTS HELP!!! WILLBEMARKEDBRAINLIEST Which figure has a greater volume and by how much?
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Answer:

Answer:

A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2

Step-by-step explanation:

Let's start by calculating the volumes of both figures

Figure 1

Rectangular prism

V = Bh

V = (15*6)(5)

V = (90)(5)

V = 450 cm³

Triangular prism

V = Bh

V = 1/2(3*15)(6)

V = 1/2(45)(6)

V = 1/2(270)

V = 135 cm³

Add them together, you get 585 cm³

Figure 2

Rectangular prism

V = Bh

V = (6*15)(5)

V = (90)(5)

V = 450 cm³

Rectangular pyramid

V = 1/3 Bh

V = 1/3 (15*6)(3)

V = 1/3 (90)(3)

V = 1/3 (270)

V = 90 cm³

Add them together, you get 540 cm³

Subtract 540 from 585 and get 45

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4 years ago
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Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the
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Its C the graph has a maximum value at (0,5)

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3 years ago
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Marley drives to work every day and passes two independently operated traffic lights. The probability that both lights are red i
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3 years ago
Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL
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The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL.  This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML.  Then, FM + ML = FL

<u>FM</u>

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = \frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}

<u>ML</u>

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = \frac{a\sqrt{2} }{2} , so KL = \frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}  

<u>FM + ML = FL</u>

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