Answer:
<em>4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation 3x - 4y = 7
Rewrite in slope intercept form
-4y = -3x+7
y = 3/4 x - 7/4
Slope = 3/4
Slope of the required line will also be 3/4 since they are parallel lines
Substitute the slope and the point into the equation above;
y - y0 = m(x-x0)
y +2 = 3/4 (x+4)
4(y+2) = 3(x+4)
4y + 8 = 3x+12
4y - 3x = 12-8
4y - 3x = 4
<em>Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Solve for p:
p/8 + 3/8 = 25/8
p/8 + 3/8 = (p + 3)/8:
(p + 3)/8 = 25/8
Multiply both sides of (p + 3)/8 = 25/8 by 8:
(8 (p + 3))/8 = (8×25)/8
(8×25)/8 = (8×25)/8:
(8 (p + 3))/8 = (8×25)/8
(8 (p + 3))/8 = 8/8×(p + 3) = p + 3:p + 3 = (8×25)/8
(8×25)/8 = 8/8×25 = 25:
p + 3 = 25
Subtract 3 from both sides:
p + (3 - 3) = 25 - 3
3 - 3 = 0:
p = 25 - 3
25 - 3 = 22:
Answer: p = 22
Answer:
Step-by-step explanation:
So the chance of getting yellow is 0.25
Getting it once is 0.25
Getting it twice is 0.25 • 0.25
Not getting it is 0.75
So we have 0.25 • 0.25 • 0.75 • 0.75 • 0.75 =
Answer:
m<S = 68 degrees.
m<D = 112 degrees
Step-by-step explanation:
Opposite angles of a parallelogram are equal so:
4x - 4 = 3x + 14
4x - 3x = 14 + 4
x = 18.
So m < S = 4(18) - 4
= 72-4
= 68 degrees.
Angles on the same side of a parallelogram are supplementary, so
m < D = 180 - 68
= 112 degrees.
Answer:
6,10,or 30 is your answer
