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zubka84 [21]
3 years ago
13

Points E, C, F are collinear and point C is in between. If EF = 14in and EC-9in, how long is CF?

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Step-by-step explanation:

"collinear" means simply that they are all on the same line.

and that solves the problem right away, right ?

because as we know EF (the long distance between the outermost points) is 14 in, and EC (which is s part of the long distance) is 9 in, that means

CF (the rest of the long distance) = EF - EC = 14-9 = 5 in

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Hzjwnsjwnziqnnsjansnsjans
natima [27]

Answer:

Step-by-step explanation:

Slope of line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

From the graph attached,

Slope of the line passing through (-3, 0) and (0, 5) = \frac{5-0}{-3-0}

                                                                                    = -\frac{5}{3}

Line passing through a point (h, k) and slope 'm' will be,

y - h = m(x - k)

Since, line passing through (11, 0) is parallel to the line given in the graph,

Slope of the parallel line will be same as -\frac{5}{3}

Equation of a line passing through (11, 0) and slope = -\frac{5}{3}

y - 0 = -\frac{5}{3}(x-11)

y = -\frac{5}{3}(x-11)

Now satisfy this equation with the points given in the options,

Option (1)

For (1.67, -15.59),

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, given point doesn't lie on the line.

Option (2)

For (-0.33, -13.59)

-13.59 = -\frac{5}{3}(-0.33-11)

-13.59 = -18.88

False

Option (3)

For (0.67, -18.59),

-18.59 = -\frac{5}{3}(0.67-11)

-18.59 = 17.22

False

Option (4)

For (1.67, -15.59)

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, none of the points given in the options are lying on the line.

7 0
3 years ago
A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D:
Natalija [7]

Answer:

The numerical limits for a B-grade is between 81 and 92

Step-by-step explanation:

Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade

Please check attachment for complete solution and explanation

3 0
3 years ago
Simplify: (4x2 − 8xy + 2y2) − (9x2 − 4xy − 7y2) (5 points)
ivann1987 [24]

Answer:

Here you go

-5x2 − 4xy + 9y2

Hope this helps



6 0
4 years ago
Helpp me please
Evgesh-ka [11]

Answer:

15 B

16 B

17 A

Step-by-step explanation:

A triangle is a figure with three sides.

Which can be re-written in the if-then form as If  the figure is a triangle then it has three sides.

The elevator has a MAX capacity of 8 people. This means that only 8 or less people can be on the elevator at a time. If c = # of people then c must be less than or equal to 8 as the elevator has a max capacity of 8 people. Hence the mathematical statement would be c ≤ 8

When the inequality sign is facing the "y" the solutions to the set can be found above the line. This could also be checked by graphing.  

8 0
3 years ago
Viola is a collegiate volleyball player whose protein needs have been determined to be 1.4 g/kg body weight. Viola is 6'2" tall
Mazyrski [523]

Convert pounds to kilograms.

1 pound = 0.4536 kg.

170 pounds x 0.4536 = 77.11 kg.

Multiply weight by grams of protein per kg.

77.11 kg x 1.4 =107.95 grams. Round answer as needed.

5 0
3 years ago
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