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Romashka [77]
3 years ago
14

Complete equation of the line through (1,4) and (2,2)

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

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mrs_skeptik [129]

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

A=\frac{a+b}{2} *h

Given:

a = 11

b = 35

h = 14

Work:

A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322

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2 years ago
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3 years ago
A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow.
e-lub [12.9K]

Answer:  \alpha=34\°

Step-by-step explanation:

1. Based on the information given in the problem, you can draw the right triangle shown in the figure attached.

2. Keeping the informationn given in the problem, you can calculate the angle that the sum makes with the ground (\alpha)as you can see below:

arctan\alpha=\frac{opposite}{adjacent}

Where:

opposite=4\\adjacent=6

3. Then:

 arctan\alpha=\frac{4}{6}

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Answer:

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Step-by-step explanation:

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3 years ago
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Gnom [1K]

Answer:

B) 42:28

Step-by-step explanation:

First, let's get 12:18 simplified to make it easier to compare:

12:18 -> 4:6 - > <u>2:3</u>

Now let's check it against all the options:

A) 20:30 -> 2:3 and 2:3 = 2:3

Not our answer as it is congruent (equal too, the same as, etc)

B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!

42:28

(it simplifes to 6:4 -> 3:2)

(we do not have to do the following as we already have an answer, but here is the math)

C) 4:6

4:6 ->

2:3 = 2:3

D) 2:3

2:3 = 2:3

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2 years ago
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