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bagirrra123 [75]
3 years ago
14

Which of the following is an equation of the line that passes through the point (5/3,-6) and has a slope of -3/4

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Line through (a,b) with slope m is

y - b = m(x -a)

Here that's line through (a,b)=(5/3, -7) with slope m=-3/4

y - -7 = (-3/4) (x - 5/3)

Solve for y,

y + 28/4 = (-3/4) x + 5/4

y = (-3/4) x - 23/4

Look at the choices.

Answer: D

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What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
alukav5142 [94]

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

3 0
3 years ago
..1+4=5. 2+5=12. 3+6=21. 8+11=40 or this could be 96 which is right and why
andre [41]
Multiply the numbers being added then add the first number. 4X1=4, 4+1=5.
2X5=10, 10+2=12. 11X8=88, 88+8=96. I'm not sure how to get 40, though. 
Hope I could help.
7 0
3 years ago
Katoni bought 1 1/2 dozen pencils. There are 12 pencils in a dozen. How many pencils did Katoni buy?
DanielleElmas [232]

Answer:

18 pencils

Step-by-step explanation:

1/2 dozen:6

1 dozen:12

6+12=18

18 pencils

7 0
3 years ago
A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul
scoray [572]

Answer:

The 95% confidence interval for those opposed is: (0.298, 0.334).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

1786 of the 2611 were in favor, so 2611 - 1786 = 825 were opposed. Then

n = 2611, \pi = \frac{825}{2611} = 0.316

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 - 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.298

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 + 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.334

The 95% confidence interval for those opposed is: (0.298, 0.334).

4 0
3 years ago
I promise u your gonna have a bright future if u help me with this ! and I'll brainlist ​
Zigmanuir [339]
A)
x 0 1 2 3 4
y 5 10 15. 20. 25

b) x 0 1 2 3. 4
y 1. 10. 37. 82. 145
3 0
3 years ago
Read 2 more answers
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