Answer:
The equation of the line is,
Step-by-step explanation:
First, you have to write it in a form of y = mx + b :
When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :
Remark
I think you want us to do both 3 and 4
Three
QR is 4 points going left from the y axis + 2 points going right from the y axis.
QR = 6 units long.
RT is 4 units above the x axis and 3 units below the x axis
RT = 7 units long
TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.
Problem 4
You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.
Area = (b1 + b2)*h/2
Givens
B1 = QR = 6
B2 = UT + TS = 6 + 3 = 9
h = RT = 7
Area
Area = (6 + 9)*7/2
Area = 15 * 7 / 2
Area = 52.5
Comment
You could break this up into a rectangle + a triangle
Find the area of QRTU and add the Area of triangle RTS
<em>Area of the rectangle </em>= L * W
L = RT = 7
W = QR = 6
Area = 7 *6 = 42
<em>Area of the triangle</em> = 1/2 * B * H
B = TS = 3
H = RT =7
Area = 1/2 * 3 * 7
Area = 1/2 * 21
Area = 10.5
Total Area = 42 + 10.5 = 52.5 Both answers agree.
Answer:
It went down 5.5°C a minute.
Step-by-step explanation:
You have to look for the difference of 100 and 78, which is 22.
Divide the difference with the minutes (4), equalling 5.5.
Answer:
4=0
Step-by-step explanation:
Simplifying
(-9p + 7) + -1(-9p + 3) = 0
Reorder the terms:
(7 + -9p) + -1(-9p + 3) = 0
Remove parenthesis around (7 + -9p)
7 + -9p + -1(-9p + 3) = 0
Reorder the terms:
7 + -9p + -1(3 + -9p) = 0
7 + -9p + (3 * -1 + -9p * -1) = 0
7 + -9p + (-3 + 9p) = 0
Reorder the terms:
7 + -3 + -9p + 9p = 0
Combine like terms: 7 + -3 = 4
4 + -9p + 9p = 0
Combine like terms: -9p + 9p = 0
4 + 0 = 0
4 = 0
Solving
4 = 0
