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hammer [34]
2 years ago
13

Please help... I have a quiz to make up!

Mathematics
1 answer:
mash [69]2 years ago
8 0
Think the answer is A
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Write an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the line described by y=1/2
Marat540 [252]

Given:

The point, (4, -3)

The line,

y=\frac{1}{2}x+5

To find an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the given line:

The slope of the line is,

m=\frac{1}{2}

Since the given line is parallel to the new line, so the slope will be same for the both.

Using the point-slope formula,

y-y_1=m(x-x_1)

Substitute the point and slope we get,

\begin{gathered} y-(-3)=\frac{1}{2}(x-4) \\ y+3=\frac{1}{2}x-2 \\ y=\frac{1}{2}x-2-3 \\ y=\frac{1}{2}x-5 \end{gathered}

Hence, the equation in slope-intercept form for the line is,

y=\frac{1}{2}x-5

8 0
1 year ago
A certain pet store sells only dogs and cats. In
Leona [35]
They sold 300 dogs and 200 cats
6 0
2 years ago
What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?
LuckyWell [14K]

Answer:

The length of the pendulum is 14.13 meters.

Step-by-step explanation:

The length of a pendulum is given by the formula, T = 2\pi \sqrt{\frac{L}{g} }, where T is the times period and L is the length of the pendulum.

Now, given that T = 2.4π seconds.

So, from the above equation, we get,

2.4\pi  = 2\pi  \sqrt{\frac{L}{g} }

⇒ \sqrt{\frac{L}{g}} = 1.2

⇒ \frac{L}{g} = 1.44 {We have the value of g as 9.81 m/sec²}

⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)

Therefore, the length of the pendulum is 14.13 meters. (Answer)

3 0
3 years ago
What is x equal to????
Ksju [112]

Answer:

x = 20

Step-by-step explanation:

The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is

4x + 2 + x + 78 = 180

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

5 0
3 years ago
-2-(3(x+6)-9-(7-x)-3x
olchik [2.2K]

Answer:

- 24 - 5x

Step-by-step explanation:

1) Remove Parentheses

-2 - 3x - 6 - 9 - 7 + x - 3x

2) Collect like terms

( -2 - 6 - 9 - 7) + (-3x+x-3x)

3) Simplify

7 0
3 years ago
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