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Ilya [14]
3 years ago
13

Write an equation of the line that is perpendicular to y=1/2x-3 and goes through the point (1,3)

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Answer:

y = -2x + 5

Step-by-step explanation:

y=\frac{1}{2}x-3

Slope of this line m₁ = 1/2

Slope of the line perpendicular to this line = m₂

m₁ *m₂ = -1

m₂ = -1 *2/1 = -2

Slope  = -2; (1,3)

y- y₁ = m(x-x₁)

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x +2 +3

y = -2x + 5

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A suitcase measures 24 inches long and the dialogue is 30 inches long. How much material is needed to cover one side of the suit
borishaifa [10]

Answer:

432 in.^2

Step-by-step explanation:

The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.

We use the Pythagorean theorem,

a^2 + b^2 = c^2

(24 in.)^2 + b^2 = (30 in.)^2

576 in.^2 + b^2 = 900 in.^2

b^2 = 324 in.^2

b = sqrt(324 in^2)

b = 18 in

area of rectangle = length * width

A = 24 in. * 18 in.

A = 432 in.^2

6 0
3 years ago
A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test
SSSSS [86.1K]

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

<h3>What is F-statistics?</h3>

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

  • It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.
  • When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why?
  • A significant result does not imply that all of your variables have been significant.
  • The statistic is simply comparing the cumulative influence of all the variables.

To know more about the F-statistics, here

brainly.com/question/17256783

#SPJ4

3 0
1 year ago
14. Solve the equation above for h​
Westkost [7]

Answer:

h=69

Step-by-step explanation:

H=VM2 +69=Y.......

5 0
3 years ago
Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is
GarryVolchara [31]
When you say either, you add both A and B
0.3+0.4=0.7
Your answer is 0.70 which means 70%
4 0
3 years ago
Read 2 more answers
A stadium has 47000 seats seats sell for $35 in section a $30 in section B and 25 in section c the number of seats in section A
Rainbow [258]

Answer: a section holds 11,750 seats

$1,483,500 from one sold out event

47,000 seats in total, 3 sections (A = B + C)

A = B*2, C*2

47,000 / 4 = 11,750

4 0
3 years ago
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