Answer:
The equation of this line is y = 3x - 2
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,-2) and (1, 1). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -2)/(1 - 0)
m = (1 + 2)/(1)
m = 3/1
m = 3
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
Answer:
Step-by-step explanation:
Let the numbers are x and y.
<u>Then the equations are:</u>
- x + y = 10 (blue line)
- x - y = 2 (red line)
<u>The graph are attached with the intersection marked: </u>
Answer:
C. SAS
Step-by-step explanation:
We already have the two pairs of sides that we know are congruent, but we also know that angles NTP and QTM are congruent because they are on opposite sides of the same intersection (I call them bowtie angles if that helps to understand). These two pairs of sides and the angles between them show that the triangles are congruent because of SAS (Side-Angle-Side Theorem).
Hope this helps :)
I assume you're asked to solve
4 cos²(<em>x</em>) - 7 cos(<em>x</em>) + 3 = 0
Factor the left side:
(4 cos(<em>x</em>) - 3) (cos(<em>x</em>) - 1) = 0
Then either
4 cos(<em>x</em>) - 3 = 0 <u>or</u> cos(<em>x</em>) - 1 = 0
cos(<em>x</em>) = 3/4 <u>or</u> cos(<em>x</em>) = 1
From the first case, we get
<em>x</em> = cos⁻¹(3/4) + 2<em>nπ</em> <u>or</u> <em>x</em> = -cos⁻¹(3/4) + 2<em>nπ</em>
and from the second,
<em>x</em> = <em>nπ</em>
where <em>n</em> is any integer.
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