9514 1404 393
Answer:
≈ (3.578, 5.789)
Step-by-step explanation:
We can substitute for y and solve for x.
(x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r
x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle
x^2 +((0.5x +4) -4)^2 = 16
(5/4)x^2 = 16
x = 8/5√5 . . . . multiply by 4/5 and take the square root
y = 0.5x +4
y = 4/5√5 +4
The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).
Hmmm...I don't know what to tell you I can't type out your answer For you.
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The value of x is 5/8.
<u>Step-by-step explanation</u>:
Given,
- The lines PQ and RS are parallel to each other.
- slope of PQ= x-1/4
- slope of RS = 3/8
The slopes of parallel lines are equal.
slope of PQ = slope of RS
⇒ x-1/4 = 3/8
⇒ (4x-1)/4 = 3/8
⇒ 8(4x-1) = 4(3)
⇒ 32x-8 = 12
⇒ 32x = 20
x = 20/32
x = 5/8
Answer:
y = (2/3)x + 8
Step-by-step explanation:
Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.
y = (2/3)x + ?
Plug in (-3, 6) for (x, y) in the equation.
6 = (2/3)(-3) + ?
6 = -2 + ?
? = 8
Final equation: y = (2/3)x + 8
By definition, the sine of an angle is given by:
Where,
C.O: opposite leg
h: hypotenuse
The hypotenuse is given by:
So, replacing values we have:
Rewriting we have:
Answer:
the sine value of this function is:
A)5 times square root 61 over 61
