First find the length of the hypotenuse using pythagorean theorem
<span>c^2 = 5^2 + 7^2
c^2 = 25 + 49
c^2 = 64
c=8 (take the square root in both sides)
Since sin = opposite/hypotenuse,
sin = 5/8 = 0.625</span>
Answer:
y = -3/4x -2
Step-by-step explanation:
Slope intercept is y = mx+b where m is the slope and b is the y intercept
4y = -3x-8
Divide each side by 4
4y/4 = -3x/4 -8/4
y = -3/4x -2
<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Equivalent expressions are expressions of equal values
The simplified expression of (3 - 4i) + (7 - 6i) is 
The expression is given as:
Remove brackets in the above expression
Rewrite the expression by collecting the like terms
Next, evaluate the like terms
Hence, the simplified expression of (3 - 4i) + (7 - 6i) is
Read more about equivalent expressions at:
brainly.com/question/2972832
Answer; there is literally no solution. it has to be a negative number.
