Two lines are perpendicular when the product between the slopes of the lines is equal to -1, then, if we have the following lines:
they will be perpendicular if,
According to the exercise, the first line is:
the slope for this line is -4.
Write the equation that makes two lines perpendicular,
solve for m2,
Answer:
The slope of the line perpendicular to y=-4x+7 is 1/4.
Answer:
-5
Step-by-step explanation:
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
Answer:
EG = 19
Step-by-step explanation:
* Lets explain how to solve the problem
- If a line bisects another line that means the point of intersection
divides the second line into two equal parts
∵ EF bisects CD at G
∴ CG = GD
∵ CG = 5x - 1
∵ GD = 7x - 13
∴ 7x - 13 = 5x - 1
* Lets solve the equation
∵ 7x - 13 = 5x - 1
- Subtract 5x from both sides and add 13 to both sides
∴ 7x - 5x = 13 - 1
∴ 2x = 12
- Divide both sides by 2
∴ x = 6
- Point G divides EF into two parts EG and GF
∴ EF = EG + GF
∵ EF = 6x - 4
- Substitute the value of x to find EF
∵ x = 6
∴ EF = 6(6) - 4 = 36 - 4 = 32
∴ EF = 32
∵ GF = 13
- Substitute the values of EF and GF in the equation of EF
∴ 32 = EG + 13
- Subtract 13 from both sides
∴ 19 = EG
* EG = 19
