Which equation represents the graph of the linear function?

Mathematics

1 answer:

rewona [7]4 years ago

4 0

Hi,
You can start by eliminating option A and B because a line is increasing if it goes up from left to right. So now the options are C and D. Then you look at the constant which is +1 or -1. This number is your y-intercept so if you look at the graph, you can see that the graph goes through the y axis at (0,-1). So the answer is D. y=3x-1.

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larisa [96]

Answer:

1.) not safe

2.)

$18 \sqrt{3}$

Step-by-step explanation:

1.) given the length of the ladder = 15ft.

and the height to the top of ladder when leaned against a wall is 14.8ft. This all forms a right triangle.

with what we are given we can solve for the angle it creates from the ground to the leaned ladder by using the SOHCAGTOA. Whike we do this keep in mind its not safe for a ladder to create an angle more than 70 degrees.

in this case if we are solving for the angle where the height is opposite we will use SOH. because we know the oposite and the hyp. Sin(theta) = opp/hyp

$\sin(theta) = \frac{14.8}{15}$

$sin^{ - 1} ( \frac{14.8}{15} ) = 81 \: degrees$

therefore not safe.

2.)

your givin 90 and 60. remember all interior angles add up to 180.

therefore 30 would be the unknown angle.

knowing that we use the <u>chart</u> at the top.

across from 30 is 6. so we put that by x. (remember we are doing this to find the height for our area of a triangle formula = base time height devide by 2.)