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3 years ago

Find the equation of the line with slope of 4 and y-intercept of -3.

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

y = 4x -3

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y ntercept

y = 4x -3

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The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector

Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

$x^{2}=4py$ (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

$x^{2}=4(6)y=24y$ (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

$(4.5)^{2}=24y$ , solving for y

$y=\frac{(4.5)^{2}}{24}\approx0.84\,ft$

4 0

3 years ago

What are the sales taxes on the state level collected for

Andru [333]

Answer:

The goverment collects sales taxes so they can use the moeny to pay for services like police, firemen, hospitals. They also use them to pay for building things like roads, puplic schools, puplic outdoor places, and building

Step-by-step explanation:

8 0

2 years ago

Which of the following descriptions represents the transformation shown in the image

Viktor [21]

Answer: A. 270° rotation, 3 units left, and 2 units up

<u>Step-by-step explanation:</u>

C = (1, 1) D = (3, 3) E = (2, -2)

270° rotation counterclockwise means (x, y) = (y, -x)

new C = (1, -1) new D = (3, -3) new E = (-2, -2)

3 units left means subtract 3 from the x-coordinate

newer C =( -2, -1) newer D = (0, -3) newer E = (-5, -2)

2 units up means add 2 to the y-coordinate

C' = (-2, 1) D' = (0, -1) E' = (-5, 0)

Since the first option worked, there is no need to check the other options.

7 0

3 years ago

Read 2 more answers

Shari sent a total of 64 text messages to 4 friends. each friend received the same number of text messages. which number

Inga [223]

Each freinds received 16 texts in total

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3 years ago

What is true about the complex number -5 - 5i?

Svetlanka [38]

Answer:

B: quadrant 3

D: 5sqrt2

Step-by-step explanation:

7 0

3 years ago