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Pani-rosa [81]
3 years ago
6

Write the equation of the line in slope intercept form with a y intercept of negative 4 and a slope of 9 over 7

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
Answer:   "  y = (9/7)x − 4 " .
___________________________________
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Solve (x – 4)^2=5<br> Hhhhhbb
Oxana [17]

Answer:

x = 4 + sqrt(5) or x = 4 - sqrt(5)

Step-by-step explanation:

Solve for x:

(x - 4)^2 = 5

Take the square root of both sides:

x - 4 = sqrt(5) or x - 4 = -sqrt(5)

Add 4 to both sides:

x = 4 + sqrt(5) or x - 4 = -sqrt(5)

Add 4 to both sides:

Answer: x = 4 + sqrt(5) or x = 4 - sqrt(5)

6 0
3 years ago
Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.
Sergeeva-Olga [200]

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

  • First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
  • First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points

Part D

Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.

8 0
3 years ago
Point A is located at -5/8 and point B is located at -2/8. What is the distance between points A and B
UNO [17]
I think those are coordinates of points, (-5,8) and (-2,8)
so you just need to use distance formula ((8-8)^2+(-2+5)^2)=0+9=9
square root 9=3
3 0
3 years ago
A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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:

n = 865, \pi = \frac{408}{865} = 0.4717

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}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA=6a^2 If the surface area is
slava [35]

So to rewrite it so that we can find the side, we just need to isolate the a variable.


SA=6a^2


So firstly, divide by 6 on both sides of the equation: \frac{SA}{6} =a^2


Next, square root each side, and your answer should be \sqrt{\frac{SA}{6}} =a

3 0
3 years ago
Read 2 more answers
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