Answer:
75
Step-by-step explanation:
Substitute 6 in for x:
12(6)+3 –––Multiply 12 by 6
72 + 3 –––Add 72 and 3
75 –––Your answer
If we let x as the total number of baseball cards
and yn be the quotient per operation, then
x/17 = y1 + 3
x/16 = y2 + 10
x/11 = y3 + 4
x/7 = y4
Based on Equation 1, x must be greater than 17
Based on Equation 4, x must be divisible by 7
y1, y2, and y3 must all be whole numbers
The smallest possible number of cards is 70
Answer:
x = 10 and y is 10 times the square root of 2
Step-by-step explanation:
45 45 90 triangle
x x x times square root of 2
10 10 and 10 times square root of 2
(-5, 12). Cosecant is the reciprocal of sine. Since csc theta =13/12, sin theta=12/13. We can narrow down to two angles, one in first quadrant and one in second quadrant. We are also given sec theta=-13/5, so cos theta=-5/13. Thus the angle is in the second quadrant. tan theta=1/cot theta=-12/5, so point (-5, 12) is on the ray.
Answer:
The answer to your question is y = -7/2x -13/2
Step-by-step explanation:
Point = (-3, 4)
Line -2x + 7y = -3
Process
1.- Solve equation for y to find the slope of the perpendicular line
7y = 2x - 3
y = 2/7 x - 3/7
slope = 2/7
Slope of the perpendicular line = -7/2
2.- Find the equation of the new line
y - y1 = m(x - x1)
y - 4 = -7/2(x + 3)
y - 4 = -7/2x - 21/2
y = -7/2x - 21/2 + 4
y = -7/2x -21/2 + 8/2
3.- Result
y = -7/2x -13/2
