Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula 
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula 
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or 
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula 
and substitute values for , 
, and 
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
Answer:
Step-by-step explanation:
x²+y² = 5²
3²+y² = 25
y² = 16
y = ±√16 = ±4
Since the terminal side is in quadrant IV, y = -4
sinθ = -4/5
Answer:
260 square yards
Step-by-step explanation:
(9+17/2)*20
Answer:
96 sqrt(210)
Step-by-step explanation:
6√3 • 8√14 • √10 • √2
We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots
6*8 = 48
3*14*10*2 = 840
6√3 • 8√14 • √10 • √2
48 sqrt(840)
48 sqrt( 4*210)
sqrt(a*b) = sqrt(a) sqrt(b)
48 sqrt(4) sqrt(210)
48 *2 sqrt(210)
96 sqrt(210)
210 is 3*7 *5*2 which are all primes, so we cannot simplify the sqrt (210)
