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Liula [17]
3 years ago
11

Determine the slope of the line that passes through each pair of points. Write in simplest form. (3,8) and (1,5)

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

First, you need to find the slope.

y2 - y1 / x2 - x1

= 5 - 8 / 1 - 3

= 3/2

The slope is 3/2x.

To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b

y = 3/2x + b

8 = 3/2(3) + b

8 = 9/2 + b

7/2 = b

The equation y = 3/2x + 7/2.

You might be interested in
47/10 as a mixed number
Alenkasestr [34]
First, 10 goes into 47, 4 times.

4 is your whole number.

10 x 4 = 40

47 - 40 = 7

then put 7/10

Put them together and your answer will be (4 7/10)
3 0
3 years ago
Read 2 more answers
A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di
kolbaska11 [484]

Answer:  586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter =  1.8 inches

⇒Inner radius :r = 0.9 in.  (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm  [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch  = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm   [∵  1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

V=\pi(R^2-r^2)h , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)

V=(3.14)(6.4516-5.225796)(152.4)

V=(3.14)(1.225804)(152.4)

V=586.591342944\approx586.59\ cm^3

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

5 0
3 years ago
HELLLPPPPPP MEEEEHHH PPPPLLLLEEEEAAAASSSSEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Akimi4 [234]

Answer:

Step-by-step explanation:

3 0
3 years ago
Determine the area of a parallelogram if<br> its base is 16 cm and its height is 7 cm.
ella [17]
<h3>Answer: 112 square cm</h3>

=====================================

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

----------------

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

3 0
3 years ago
Can you help me<br><br><img src="https://tex.z-dn.net/?f=2" id="TexFormula1" title="2" alt="2" align="absmiddle" class="latex-fo
kati45 [8]

Answer:

2

Step-by-step explanation:

2=8

3 0
3 years ago
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