The x-intercepts<span> are where the graph crosses the x-axis, and the y-</span>intercepts<span> are where the graph crosses the y-axis. We find these intercepts when we set one variable to zero. For instance,
</span><span>
y = x^2-10x+25
y-intercept : y = </span>0^2-10(0) +25
<span> y = 25
x-intercept: 0 = </span>x^2-10x+25
0 = (x - 5) (x - 5)
x = 5
Answer: 320 triangles
Step-by-step explanation: Triangles can be drawn utilizing one side of the polygon. In the event that we take one side, at that point there are a add up to of 16 triangles that can be drawn and we have 20 sides. So, add up to 20×16=320 triangles.
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
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What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
It’s equals x=1 hope that helps
There are 12 possible combinations because you can use each slice of pizza with a different drink
Hope this helps :)<span />
