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Mice21 [21]
3 years ago
12

The table below represents a linear function.

Mathematics
1 answer:
ohaa [14]3 years ago
8 0
(-1,5)(1,9)
slope = (9 - 5) / (1 - (-1) = 4 / (1 + 1) = 4/2 = 2

y = mx + b
slope(m) = 2
use any of ur points in the table....(1,9)...x = 1 and y = 9
now we sub ad find b, the y int
9 = 2(1) + b
9 = 2 + b
9 - 2 = b
7 = b

so ur equation of the table is : y = 2x + 7.....where the slope = 2 and the y intercept = 7

so, the equation with the greater slope and the greater y int is :
y = 3x + 7.5....this has a slope of 3 and a y int of 7.5


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3 years ago
The following set of numbers represents the number of hours a group of students spent reading over the course of two weeks.
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5 0
2 years ago
Sally buys a handbag. there was a discount of 30%. if sally paid, $17.50, what was the original price?
andrew11 [14]
The original price was $25. 

First, convert the 30% to a real mathematical number. For percents, this is always done by dividing the 30% by 100%, or 30% / 100% = 0.300.

Second, find out what 30% of $25 is. This is the amount of the sale discount. This is always found by mulitplying 0.300 by the item's cost $25, like this:

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6 0
3 years ago
*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle
Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

  • On the extension of the side BC , draw a line segment CD ≅ CA
  • Draw the segment AD
  • The line segment CE is the angle bisector of ∠ACB
  • The line segment CF is the median towards AD in ∆ ACD

We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

∵ AD is the median towards AD

- In any isosceles triangle the median from a vertex to its opposite

  side bisects this vertex

∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

∴ EC ⊥ CF

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

7 0
3 years ago
Hey i need some help with a fraction this is the question 17*5/8
Zanzabum

Answer:

Fraction: 10 and 5/8

Step-by-step explanation:

17 × 5/8

85/8

4 0
3 years ago
Read 2 more answers
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