Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
Answer:
1170450 yd^2
Step-by-step explanation:
The first thing is to calculate the necessary perimeter, which would be like this:
2 * a + b = 3060
if we solve for b, we are left with:
b = 3060-2 * a
Now for the area it would be:
A = a * b = a * (3060-2 * a
)
A = 3060 * a -2 * a ^ 2
To maximize the area, we calculate the derivative with respect to "a":
dA / da = d [3060 * a -2 * a ^ 2
]/gives
dA / day = 3060 - 4 * a
If we equal 0:
0 = 3060 - 4 * a
4 * a = 3060
a = 3060/4
a = 765 and d
Therefore b:
b = 3060 - 2 * a = 3060 - 1530 = 1530
A = a * b
A = 765 * 1530
A = 1170450 and d ^ 2
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
Answer: m1 m2 and m5 all equal to 135 as well
While m3 m6 and m4 are 45
Why: since they are on a line the two angles together should equal 180. So 180- 135= 45
Answer:
True
Step-by-step explanation:
