Answer:
2/9
Step-by-step explanation:
Find the slope of the line with x intercept 9 and y intercept of -2
Given that the equation of the line is y = mx+b
x intercept occurs when y = 0
The coordinate of x intercept is (9,0)
y intercept occurs at x = 0
The coordinate of y intercept is (0, -2)
Slope m = y2-y1/x2-x1
m = -2-0/0-9
m = -2/-9
m = 2/9
Hence the required slope is 2/9
<h3>Answer: x = 5</h3>
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Work Shown:
Angle Bisector Theorem
9/(2x-1) = 15/3x
9*3x = 15(2x-1) ... cross multiply
27x = 30x-15
27-30x = 30x-15-30x ... subtract 30x from both sides
-3x = -15
-3x/(-3) = -15/(-3) .... divide both sides by -3
x = 5
I assume you mean x squared in the first equation
Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0
Then factorise it to (x-2)(x+1) = 0
And solve both parts separately
x + 1 = 0
x = -1
x-2 = 0
x = 2
Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
Answer:
15/17
Step-by-step explanation:
Sine is 
, and we see that the angle opposite of A is 15 while the hypotenuse is 17. Plug that into your formula and you get 
.
