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3 years ago

What is the slope of the line between (−4, 4) and (−1, −2)? a. 1 b. 2 c.−2 d. −1

2 answers:

7 0

M= $\frac{ Y_{2}- Y_{1} }{X_{2}-X_{1}}$

m= (-2 - 4) / (-1 - -4)
m= -6 / (-1 + 4)
<span>m= -6 / 3
</span>m= -2

the slope is -2 (C.)

dlinn [17]3 years ago

4 0

Answer: C. -2

Step-by-step explanation:

The slope of a line passing through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

The given points : (-4, 4) and (-1, -2)

Then, the slope of the line passing through(-4, 4) and (-1, -2) is given by :-

$\text{Slope}=\dfrac{-2-4}{-1-(-4)}=\dfrac{-6}{-1+4}\\\\=\dfrac{-6}{3}=-2$

Hence, the slope of a line with endpoints (-4, 4) and (-1, -2) =-2.

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The area of a rectangular wall of a barn is 42 square feet. Its length is 8 feet longer than twice its width. Find the length an

Furkat [3]

Answer:

The answer to your question is: length = 14 ft; width = 3 ft

Step-by-step explanation:

Data

Area = 42 ft²

length = 8 + 2w

w = width = ?

length = ?

Formula

Area = length x width = l x w

Substitution

42 = (2w + 8)w

42 = 2w² + 8w

2w² + 8w - 42 = 0

Dividing by 2

w² + 4w - 21 = 0 Factorize

(w + 7) (w - 3) = 0

w1 = -7 w2 = 3

It's not possible to have negative widths

So the answer is w = 3 ft

length = 2(3) + 8

length = 6 + 8

length = 14 ft

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3 years ago

Q1. Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defec

Tcecarenko [31]

Answer: 0.030

Step-by-step explanation:

Given: The percent of the items produced by a machine are defective : $P=10\%=0.10$

The percent of the items produced by machine which are not defective: $Q=1-0.1=0.9$

Sample size : n = 100

Now, the standard error of the proportion is given by :-

$\text{S.E.}=\sqrt{\dfrac{0.1\times0.9}{100}}\\\\\Rightarrow\text{S.E.}=0.030$

Hence, the the standard error of the distribution of the sample proportions=0.030

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3 years ago

If a five digit number is rounded to the ten thousands place is it possible for the rounded number to be a six digit number.

Bingel [31]

When rounding a number, the digit of the number can be increased up to 1, but the digit won't be decreased. So, it is possible to round a five digit number into six digit number. But to increase the number digit, the number should be rounded up. To be rounded up, a number should have value 5 or more.

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3 years ago

Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why

Vikentia [17]

No it is not a order pair. It’s not one because I did the work.

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2 years ago

Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are t

musickatia [10]

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

6 0

3 years ago