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MrRissso [65]
3 years ago
8

Which of these points are on a line that has a slope of -3?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0
Simple....

using the formula \frac{ y_{1}- y_{2}  }{ x_{1}- x_{2}  } to find slope....

1.)  (9,2)(4,3)

\frac{2-3}{9-4}= -\frac{1}{5} (No)

2.)  (9,2)(3,4)

\frac{2-4}{9-3} = -\frac{2}{6} =- \frac{1}{3} (No)

3.)  (2,9)(3,4)

\frac{9-4}{2-3} = \frac{5}{-1} =-5 (No)

4.)  (2,9)(4,3)

\frac{9-3}{2-4} = \frac{6}{-2} =-3 (YES!)

Thus, your answer.
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The larger number is 18 more than twice the smaller. If the sum of the two numbers is 93, find both numbers
Ganezh [65]

Answer:

larger number=18+(2x)

smaller number=x

(18+2x)+x=93

18 +3x=93

3x=93-18

3x=75

x=25

18+2(25)

18+50

68

larger number =68

smaller number=25

6 0
3 years ago
Is anybody a hacker I’m looking for somebody to hack someone’s Tikto make sure they ain’t cheating on me?
katovenus [111]
I don’t think you can’t
8 0
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Zack buys some oranges from a store. The oranges cost $4.00 for 2 pounds. He wants to buy more fruit, but at the same price per
SSSSS [86.1K]

Answer:

C

Step-by-step explanation:

The oranges cost $4 per 2 lbs which is 4/2=$2 per lb. Option C has peaches at $6 for 3 lbs which is 6/3 =$2 per lb.

5 0
3 years ago
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Is a number of television in a household a discrete quantitative or continuous quantitative
mezya [45]

discrete, you cannot have 1.5 televisions

generally the number of X is a discrete variable.

continous = can contain decimal value  (float values)

discrete = no decimal  (integers)

7 0
3 years ago
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
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