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3 years ago

Identify the slope and y-intercept for the linear equation y = 4x - 2.

1 answer:

4 0

The slope is the gradient which is the coefficient of y over the coefficient of x so 1/4 and the y intercept is y when x = 0.

So Slope = 1/4
y-Intercept = 4*0-2 = -2

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Y varies directly as x.if y=-5 when x =15find x when y=3

Tpy6a [65]

Y=kx
-5=k(15)
-5/15=k
-1/3=k
now,
y=-1/5x
3=-1/5x
3×5=-1(x)
15=-1(x)
multiplying both sides by -1,we get
-15=x

3 0

3 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

8 0

2 years ago

Write a single transformation that maps ABC onto A' B' C'

blsea [12.9K]

9514 1404 393

Answer:

Either of ...

(x, y) ⇒ (-x, -y)
Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

1. reflection across the origin: (x, y) ⇒ (-x,-y)

2. rotation 180° (either direction) about the origin.

Take your pick.

4 0

3 years ago

How to show your work for 4÷29.5

S_A_V [24]

The answer is approximately 0.14

5 0

2 years ago

Select the correct answer.

Ilya [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

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