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OlgaM077 [116]
3 years ago
14

What is the slope of the line shown below? A. 3/2 B. 2/3 C. -3/2 D. -2/3

Mathematics
1 answer:
Anna [14]3 years ago
7 0

9514 1404 393

Answer:

  B.  2/3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...

  m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3

The slope of the line is 2/3.

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1 year ago
3. If the line tangent to the graph of the function f at the point (1,7) also passes through the point
Usimov [2.4K]

Answer:

f'(-1)= 3

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)= (7-(-2))/(1-(-2))=9/3=3

Slope of the tangent line in the given point equals f' at this point.

So,

f'(-1)= 3

5 0
3 years ago
What is the volume of this cylinder
arsen [322]

Answer:

471.24 Inches

Step-by-step explanation:

  • V= πr²h
  • (diameter=10, Radius = 5)
  • V = (22/7 × 5 × 5) × 6
  • V= 550 × 6
  • V = 3300 ÷ 7
  • V = 471.2389=round off
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6 0
3 years ago
A group of 10 students participate in chess club, karate club, or neither.
Afina-wow [57]

Total number of students = 10

As we have to find

P(A/B) = Probability( A when B has happend)

P(A/B)= P(A intersection B)/P(B)

According to given figure only yolanda and Rob are in both club


Therefore,P(A intersection B) =\frac{2}{10}

Number of student in karate club =6

P(B)= \frac{6}{10}

P(A/B) = \frac{2}{10}\div{\frac{6}{10}


Converting division into multiplication by reciprocating the term after division



P(A/B) = \frac{2}{10}\times{\frac{10}{6}



On solving we get ,


P(A/B) = \frac{2}{6}

P(A/B)=\frac{1}{3}


P(A/B) =0.33

8 1
4 years ago
What is the measure of ∠ABD?
Ad libitum [116K]

Answer:

m∠ABD = 114°

Step-by-step explanation:

Given measurements of interior angles are:

m∠D = 2n°

m∠C = 60°

m∠ABD = (4n+6)°

The measurement of exterior angle of a triangle is equal to the sum of two opposite interior angles.

This can be mathematically expressed as:

m∠ABD = m∠C+m∠D

Putting the respective values

4n+6 = 2n+60\\4n-2n+6 = 60\\2n+6 = 60\\2n = 60-6\\2n = 54\\\frac{2n}{2} = \frac{54}{2}\\n = 27

Putting n=27 in (4n+6)°

=4(27) + 6\\= 108+6 = 114

Hence,

m∠ABD = 114°

4 0
3 years ago
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