Answer: D) 8, 15, 17
<u>Step-by-step explanation:</u>
In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.
A) 2² + 3² = 4²
4 + 9 = 16
13 = 16 FALSE
B) 4² + 5² = 6²
16 + 25 = 36
41 = 36 FALSE
C) 6² + 9² = 12²
36 + 81 = 144
117 = 144 FALSE
D) 8² + 15² = 17²
64 + 225 = 289
289 = 289 TRUE!
The slope and the y intercept of the line on the graph is -1/4 and 1.
<h3>What is a Straight Line Function ?</h3>
A straight line function is what can be written in the form of
y =mx +c
where m is the slope and c is the intercept on y axis.
The intercept on the y axis , c = 1
at x = 4 , y=0
and at x = 0, y =1
The slope can be calculated as
y = mx+1
0 = 4m +1
m = -1/4
Therefore the slope and the y intercept of the line on the graph is -1/4 and 1.
To know more about Straight Line Function
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Answer:
a) x = -1.5
b) x = 1
Step-by-step explanation:
For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:
7x + 5 = 3x - 1
-3x -3x
4x + 5 = -1
Next, to get the coefficients on one side, you subtract 5 from both sides:
4x + 5 = -1
-5 -5
4x = -6
Now, you divide by 4 on both sides to isolate x:
x = -6/4 = -1.5 --- > x = -1.5
For problem b, you start by subtracting 3x from both sides(kinda like problem a):
5x + 12 = 3x + 14
-3x -3x
2x + 12 = 14
Next, you can subtract 12 from both sides, isolating the "x term".
2x + 12 = 14
-12 -12
2x = 2
Lastly, you can divide by 2 to get x:
x = 1
Answer:
D. Linear, because the function increases by a common difference
Step-by-step explanation:
Since it is increasing always at the same rate it is linear.
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