Answer:
y=8
Step-by-step explanation:
the sum of the three angles is 180
57 + 90 + 5y-7 = 180
5y + 140 = 180
5y = 40
y = 8
Answer:
1 unit up from the origin, so the ordered pair is (2, 1). (4, 2); Possible explanation: Point H is 4 units to the right of the origin, so the x -coordinate is
NO hes not correct
Step-by-step explanation:
y = x² - 4x + 8
4x + y = 12
4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
x² + 8 = 12
- 8 - 8
x² = 4
x = ±2
4x + y = 12
4(2) + y = 12
8 + y = 12
- 8 - 8
y = 4
4x + y = 12
4(-2) + y = 12
-8 + y = 12
+ 8 + 8
y = 20
(x, y) = (2, 4) and (-2, 20)
the graphed equation is:
y = -|x| + 1
<h3>
</h3><h3>
How to find the algebraic expression that matches the graph?</h3>
On the graph, we can see an absolute value equation, which opens downwards, and passes through the points (1, 0) and (0,1).
The general absolute value equation is:
y = a*|x - b| + c
Because the vertex is at the point (0, 1), we know that:
b = 0, c = 1
Replacing that we get:
y = a*|x| + 1
Now, this must be zero when we evaluate in x = 1, then:
0 = a*|1| + 1
a = -1
Then the graphed equation is:
y = -|x| + 1
If you want to learn more about absolute value functions:
brainly.com/question/3381225
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