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2 years ago

Find the slope of each line. 2

Mathematics

1 answer:

ratelena [41]2 years ago

5 0

Answer: m=3/2

Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.

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Figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)

wlad13 [49]

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$slope = \frac{ - 8 - ( - 11)}{7 - 4} \\$

$slope = \frac{ - 8 + 11}{7 - 4} \\$

$slope = \frac{3}{3} \\$

$slope = 1$

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3 years ago

A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name d

Strike441 [17]

Answer:

2 in 16

Step-by-step explanation:

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2 years ago

Are the numbers 9 and 36 relatively prime?

Sav [38]

Definitely not. They are both perfect squares. A prime number is one where its only factors are one and itself.

8 0

2 years ago

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Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the

Elis [28]

Answer:

Step-by-step explanation:

9+9+11+15 = 44

44/4 = 11!

3 0

3 years ago

Read 2 more answers

The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin

anzhelika [568]

Answer:

$Length=17.5\ in\\\\Width=11.5\ in$

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

$A=201.25\ in^2\\\\P=58\ in$

<u>The steps are:</u>

1. Solve for the "l" from the formula $A=lw$ :

$A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}$

2. Substitute $l=\frac{201.25}{w}$ into the formula $P=2l+2w$ and solve for "w":

$58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0$

Applying the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$ , we get:

$x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5$

3. Substitute $w_1=17.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{17.5}=11.5$

4. Substitute $w_2=11.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{11.5}=17.5$

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

$l=17.5\ in\\\\w=11.5\ in$

8 0

3 years ago