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3 years ago

What is the slope of the line that passes through the points (1, 1) and (9,7)?

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

The answer is 3/4.

Step-By-Step Explanation

Slope Formula:m=y2-y1/x2-x1
Substitute: 7-1/9-1
Answer: 3/4

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Find the measure of the indicated aces and angles

Serggg [28]

Answer:

a=21

b=69

c=42

d=138

Step-by-step explanation:

c is supplementary to d (which is 138), so c=180-138= 42.

angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.

angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.

4 0

3 years ago

How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Marina86 [1]

A group of k elements can be chosen from a group of n elements in $\frac{n!}{k!(n-k)!}$ ways.

$(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495$

The answer is B. 495.

7 0

3 years ago

What is happening to this graph when the x-values are between - 1 and 1?

sp2606 [1]

Answer:

A. It’s decreasing

Step-by-step explanation:

Hey there!

Well on the graph at points -1 and 1 we can tell the line is going down,

meaning the line is decreasing.

Hope this helps :)

4 0

3 years ago

How many garbage cans should be placed in each campground? Explain how you can use addition or multiplication to find the answer

Vikentia [17]

Answer:

Step-by-step explanation:

Multiplication

Ratio of Tables to garbage = 8:3

Small camp ground:

40 picnic tables and let x be the number of garbage cans

$\frac{8}{3}=\frac{40}{x}\\\\\frac{8*5}{3*5}=\frac{40}{x}\\\\\frac{40}{15}=\frac{40}{x}\\\\$

x = 15

Small campground with 40 picnic table needs 15 garbage cans

Large picnic ground:

120 picnic tables and let y be the number of garbage cans

$\frac{8}{3}=\frac{120}{y}\\\\\frac{8*15}{3*15}=\frac{120}{y}\\\\\frac{120}{45}=\frac{120}{y}$

y= 45

Big campground with 120 picnic table needs 45 garbage cans

3 0

3 years ago

Definition of a line segment?

Nostrana [21]

Part of a line but has 2 end point, extends in no direction. example: @[email protected]

5 0

3 years ago