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3 years ago

The question is in the photo. Please answer with the correct answer.

Mathematics

1 answer:

Oksanka [162]3 years ago

6 0

Answer: 4, 2

Step-by-step explanation:

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Please help me with these questions

Scrat [10]

3. Answer: y = 4

Step-by-step explanation:

Need to find the slope (m):

$\dfrac{y_2-y_1}{x_2-x_1}$

$\dfrac{4 - 4}{-3-1}$

= $\dfrac{0}{-4}$

= 0

Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 4 = 0(x - 1)

y - 4 = 0

y = 4

********************************************************************

4. Answer: $\bold{y = \dfrac{2}{3}x + 3}$

Step-by-step explanation:

$y - y_1 = m(x - x_1)$

$y - 1 = \dfrac{2}{3}(x - (-3))$

$y - 1 = \dfrac{2}{3}(x + 3)$

$y - 1 = \dfrac{2}{3}x + 2$

$y = \dfrac{2}{3}x + 3$

3 0

3 years ago

The radius of one circle is three the time radius of another circle. The sum of their areas is 12pi. Find the radius of each cir

zlopas [31]

$\displaystyle\\
\begin{cases}
R_1 = 3R_2\\
\pi R_1^2 +\pi R_2^2=12\pi ~~~\Big|~~:\pi 
\end{cases} \\ \\ 
\begin{cases} 
R_1 = 3R_2\\
R_1^2 + R_2^2=12 
\end{cases} \\ \\ 
(3R_2)^2+ R_2^2=12 \\ \\ 
9R_2^2 + R_2^2=12 \\ \\ 
10R_2^2=12\\\\
R_2^2 = \frac{12}{10} = \frac{6}{5} \\ \\ 
R_2 = \boxed{\sqrt{\frac{6}{5}} } \\ \\ 
R_1 = \boxed{3\sqrt{\frac{6}{5}} }$

7 0

3 years ago

Sofia drew a scale drawing of a theater. The stage, which is 48 feet long in real life, is 16

Zigmanuir [339]

First, you multiply 4 by 1. Then that's your answer, 4. I hope it helped!

5 0

3 years ago

Gina wilson unit 6 homework 4 help with 6,8,and9

Bumek [7]

Answer:

Q6. x = 17
Q8. Yes, parallel
Q9. No, not parallel

Step-by-step explanation:

Q6. Solve for x

Use ratios of similar sides

28/(82 - 28) = (2x + 8)/(5x - 4)
28/54 = (2x + 8)/(5x - 4)
14/27 = (2x + 8)/(5x - 4)
14(5x - 4) = 27(2x + 8)
70x - 56 = 54x + 216
70x - 54x = 56 + 216
16x = 272
x = 272/16
x = 17

If ratios are same, the lines are parallel

41.8/33 = (102 - 45)/45
41.8/33 = 57/45
41.8*45 = 33*57
1881 = 1881

Yes, lines are parallel

38/19 = 52/24
2 = 2 1/3

Incorrect, lines are not parallel

4 0

2 years ago

Two balls are drawn in succession out of a box containing

victus00 [196]

There are a total of 8 balls

The probability of drawing a white ball is 4/8 on the first draw.
If you replace the ball then the probability will still be 4/8 for a white ball, since these events are independent of each other you multiply 4/8 x 4/8 = 16/64 or 1/4 then the probability of drawing at least 1 red ball with replacement is 1 - 1/4 = 3/4

Now without replacement:
the probability of drawing a white ball is 4/8 since you don't replace the ball then the probability of drawing a white ball the second time is 3/7 again multiply these two probabilities: 4/8 x 3/7 = 12/56 the the probability of drawing at least 1 red ball is 1- 12/56 = 44/56 or 11/14

4 0

2 years ago