1200 × 9.95 = 11.940 × 26 =310,440 ÷ 100 = 3,104.40 her commission is $ 3,104.40
Answer: Y = 2 ; 3 ; 4
Step-by-step explanation:
Given the rule : y=1/4x + 1
X = 4, 8, 12
When x = 4
y = 1/4(4) + 1
y = 1 + 1
y = 2
When x = 8
y = 1/4(8) + 1
y = 8/4 + 1
y = 2 + 1
y = 3
When x = 12
y = 1/4(12) + 1
y = 12/4 + 1
y = 3 + 1
y = 4
Therefore ;
X - - - 4 - - - 8 - - - 12
Y - - - 2 - - - 3 - - - 4
The equation of the line is y=2x+1.
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=− 3/6x+ 5/6
y=− 1/2x+ 5/6
The slope of our first line is equal to − 1/2.Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is − 1/x
The negative reciprocal of − 1/2 is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
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Answer:
- The circumference of the circle in term of pi = 10π inches
- The circumference of the circle us 3.14 as pi = 31.4 inches
Step-by-step explanation:
Given
The radius of the circle = r = 5 in
We know that diameter is twice the radius.
so d = 2r = 2(5) = 10 in
<u>Finding the circumference of the circle in terms of pi</u>
Using the formula to find the circumference of the circle
C = dπ
C = 10×π
C = 10π inches
Thus, the circumference of the circle in term of pi = 10π inches
<u>Finding the circumference of the circle using π = 3.14</u>
We know that the formula to find the circumference of the circle
C = dπ
Given
π = 3.14
substituting π = 3.14 to find the circumference of the circle
C = 10×3.14
C = 31.4 inches
Thus, the circumference of the circle = 31.4 inches
