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lara [203]
2 years ago
5

PLEASE HELP, this is overdue and I'm struggling. In triangle EFG, E(-2, 7), F(7, -8) and G(-6, -3). Is triangle EFG a right tria

ngle? Provide proof of your yes/no answer. ​

Mathematics
2 answers:
stiv31 [10]2 years ago
4 0
It’s not because if you rotate it a bit you will see that the straight vertical side and straight horizontal side of the triangle form an acute angle, not a 90 degree angle
babunello [35]2 years ago
3 0

Answer:

  • No

Step-by-step explanation:

You may find the slopes of the segments EG and FG, the shorter sides of the triangle EFG.

Perpendicular lines have negative-reciprocal slopes.

  • m(EG) = (-3 - 7)/(-6 - (-2)) = -10/-4 = 5/2
  • m(FG) = (-3 - (-8))/(-6 - 7) = 5/-13 = -5/13

<u>The product of the slopes should be -1:</u>

  • 5/2*(-5/13) = - 25/26 ≠ -1

So the answer is No

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Help me ASAP PLEASE
lina2011 [118]

Answer:

  4. Functions: 1, 2, 4, 5, 7, 8, 11, 12

  5. y = -1/2x+5/2, x ≤ -1; 2x +1, x > -1.

      y = 2, x < 0; x, 0 ≤ x ≤ 3; 3 x > 3.

Step-by-step explanation:

4. A list of ordered pairs is a function of no x-values are re-used. In (3) and (6), the value x=2 is used more than once.

A graph represents a function if it passes the "vertical line test." A vertical line cannot intersect the graph in 2 or more points. (9) and (10) both fail that test.

If the relation is not listed here as being "not a function," then it is one of the answers to question 4.

__

5. The first step in writing the equation of a piecewise function is to identify the pieces. These are generally bounded by points of discontinuity--jumps in the function value, or changes in the slope of lines.

The second step is to identify the section of the function that boundary points belong to. Solid dots are part of the function definition; open circles are not.

<u>Left Graph</u>

The left piece ends at x=-1. There is a solid dot attached to the left piece, so its definition will be for the domain x ≤ -1. That line has slope -1/2, since is drops 1 unit for each 2 to the right. If extended, it would intersect the y-axis at y = 2 1/2 = 5/2. So, the piece on the left is y = -1/2x + 5/2 for x ≤ -1.

The right piece starts at x=-1, but does not include that point. It has a rise of 2 for each 1 to the right, so its slope is 2. It crosses the y-axis at y=1, so the piece on the right is y = 2x + 1 for x > -1.

You can use the method of your textbook author to combine theses pieces into one equation. The method shown above is one way to do it.

__

<u>Right Graph</u>

This graph has a discontinuity at x=0 and a change in slope at x=3. It can be described by 3 pieces. The point at x=0 does not belong to the left piece, but goes with the middle piece.

The left piece of the function is the constant 2, so has the equation y = 2 for x < 0.

The middle piece has a slope of 1 and a y-intercept of 0, so has the equation y = x for 0 ≤ x ≤ 3.

The point at x=3 belongs to both the middle piece and the right piece, so can be part of both function definitions, if you like. Generally, it is better form to include any given x-value in only one of the pieces of the function. So the equation for the right piece can be y = 3 for x > 3.

4 0
3 years ago
aylah plans to make small cheese pizzas to sell at a school fundraiser. She has nine bars of cheese. How many pizzas can she mak
Serhud [2]

Answer:

27 pizzas

Step-by-step explanation:

Each brick of cheese can make 3 pizzas since there are 3 thirds in 1. We multiply 3 by the total number of bricks to get 27.

7 0
2 years ago
Please need help asap!!
vagabundo [1.1K]

a+b+c=180,  \text{ }c+e=180 \implies \\ a+b+c=c+e \implies \\ a+b=e\\

This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.

6 0
3 years ago
A teenager earns $10 for every 600 square feet mowed in addition to $12 for supplies for each lawn he mows. Which function repre
anzhelika [568]

Answer: b

Step-by-step explanation: 600 is the total so, just do 10x and 12

5 0
2 years ago
A right triangle has a hypotenuse length of 13 units. One leg has a length of 12 units. Which equation can be used to determine
irinina [24]

Answer:

The length of the other leg is 12

5 0
3 years ago
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