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3 years ago

Which equation shows a line with a slope of 3 that passes through the point ((1,-2)

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

y = 3x - 5

Step-by-step explanation:

Slope m = 3

Using (1,-2)

Slope-intercept: y = mx + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

then y = 3x - 5

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Helen is putting a fence around her flower garden, which is in the shape of half of a circle and a rectangle. If the semicircle

erastova [34]

Answer:

Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

$P=2L+W+\frac{1}{2}\pi D$

we have

$L=10\ ft\\W=7\ ft\\D=7\ ft\\\pi =\frac{22}{7}$

substitute

$P=2(10)+7+\frac{1}{2}(\frac{22}{7})(7)$

$P=20)+7+11=38\ ft$

therefore

Helen will need 38 feet of fencing

Part 2) What is the perimeter around the three sides of the rectangular section of the garden?

$P=2L+W$

we have

$L=10\ ft\\W=7\ ft$

substitute

$P=2(10)+7$

$P=20+7=27\ ft$

therefore

The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) What is the approximate distance around half of the circle?

Find the circumference of semicircle

$C=\frac{1}{2}\pi D$

we have

$D=7\ ft\\\pi =\frac{22}{7}$

substitute

$C=\frac{1}{2}(\frac{22}{7})(7)$

$C=11\ ft$

therefore

The approximate distance around half of the circle is 11 feet

4 0

3 years ago

Read 2 more answers

Hey:) can you please help me posted picture of question

Vanyuwa [196]

The answer is A. Just remember the acronym for foil.

6 0

3 years ago

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Please answer 1-4 please

Nady [450]

Answer:

1. 1st Quadrant

2. 3rd Quadrant

3. 2nd Quadrant

4. 2nd Quadrant

5. 4rth Quadrant

6. 2nd Quadrant

7. No they do no correspond to the same point.

Step-by-step explanation:

1st Quadrant : ( positive , positive )

2nd Quadrant : ( negative , positive )

3rd Quadrant : ( negative , negative )

4th Quadrant : ( positive , negative )

3 0

3 years ago

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Discuss the differences between parametric and non-parametric tests?

lesya [120]

Nonparametric tests are also called distribution-free tests because they don't assume that your data follow a specific distribution. You may have heard that you should use nonparametric tests when your data don't meet the assumptions of the parametric test, especially the assumption about normally distributed data.

8 0

3 years ago

A lightbulb has a normally distributed light output with mean 5000 end foot-candles and standard deviation of 50 end foot-candle

Blizzard [7]

To find the specification limit such that only 0.5% of the bulbs will not exceed this limit we proceed as follows;
From the z-table, a z-score of -2.57 cuts off 0.005 in the left tail; given the formula for z-score
(x-μ)/σ
we shall have:
(x-5000)/50=-2.57
solving for x we get:
x-5000=-128.5
x=-128.5+5000
x=4871.50

8 0

3 years ago