Y=2x+1

Mathematics

1 answer:

yan [13]2 years ago

3 0

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

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The angle of depression from the top of a building to a point

AleksandrR [38]

The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point on the ground is 45 degrees.

Step-by-step explanation:

The given is,

The angle of depression from the top of a building to a point on the ground is 45 degrees.

Height of the building is 280 meter.

Step: 1

Given diagram is a right angled diagram,

For right angle triangle,

90° = 45° + 45°

= 90°

Trignometric ratio,

sin ∅ = $\frac{Opp}{Hyp}$ ....................(1)

For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point on the ground is 45 degrees.

Where, Opp side = 280 meters

Hyp side = x

∅ = 45°

Equation (1) becomes,

sin 45° = $\frac{280}{x}$

0.70710678 = $\frac{280}{x}$

x = $\frac{280}{0.70710678}$

x = 395.979

Distance between point on the ground from the top of the building, x ≅ 396 meter

Trignometric ratio,

cos ∅ = $\frac{Adj}{Hyp}$

Cos 45 = $\frac{Adj}{396}$

Adj = (0.70710678)(396)

Bottom length, Adj = 280 meter

Result:

The distance between point on the ground from the top of the building is 396 meter.

8 0

3 years ago

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $60,750?

Anna11 [10]

$\frac{28}{36}$ rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.