Answer:
see explanation
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and the exact values
sin60° = and cos60° = , then
sin60° = = = = ( cross- multiply )
2BC = 10 ( divide both sides by 2 )
BC = 5
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cos60° = = = = ( cross- multiply )
2AB = 10 ( divide both sides by 2 )
AB = 5
X=4 because if you do 4 times 4 and 10^32 power you would then subtract that and that would then be you answer<span />
Answer:
D. y = 5/4x + 2 1/4
Step-by-step explanation:
The equation of the line is
y = mx + c
Step 1: find the slope
( 3 , 6) ( -1 , 1)
m = y2 - y1 / x2 - x1
m - is the slope of the line
( y1 , y2) - are point on the line
( x1, x2) - are point on the line
x1 = 3
y1 = 6
x2 = -1
y2 = 1
Inserting into the formula
m = y2 - y1 / x2 - x1
m = 1 - 6 / -1 - 3
m = -5/-4
Minus cancels minus
= 5/4
Step 2: substitute m into the equation of the line
y = mx + c
y = 5/4x + c
Step 3: sub any of the two points given into the equation
Let's pick ( 3 , 6)
x - 3
y - 6
y = 5/4x + c.
6 = 5/4(3) + c
6 = 5 * 3 / 4 + c
6 = 15/4 + c
c = 6 - 15/4
LCM = 4
c = 24 - 16 / 4
c = 9/4
c = 2 1/4
Step 4: sub c into the equation
y = 5/4x + c
y = 5/4x + 2 1/4
The equation of the line is
y = 5/4x + 2 1/4
9514 1404 393
Answer:
-6
Step-by-step explanation:
The y-intercept is represented by 'b' in the slope-intercept equation ...
y = mx +b
Solving for b, we find ...
b = y - mx
Using the given values, we find b to be ...
b = -9 -(-3)(1) = -6
The y-intercept is -6.