Slope=1/4, y-intercept=-4

Mathematics

2 answers:

Helga [31]2 years ago

8 0

Answer:

-16

Step-by-step explanation:

y = mx

-4 = 1/4x

Divide both sides by 1/4.

-16 = x

IgorC [24]2 years ago

6 0

Answer:

Step-by-step explanation:

Equation of line: y = mx + c

m = slope and c = intercept

Slope=1/4, y-intercept=-4

y = 1/4(x) - 4

4y = x - 16

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Answer:

A. √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

c = √(a^2 +b^2 -2ab·cos(C))

c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

c = √13 . . . . . length of the side opposite the 60° angle