Answer:
Explained Below
Step-by-step explanation:
first we need to turn the equation into point slope form.
3x + 4y = 12
4y = -3x + 12
y = -0.75 + 3
Parallel lines don't have a change in slope because they run parallel. Your answer would be -0.75 or -3/4.
x = 5
<u>explanation</u>
70 + 23x - 5 + 110 + 14x = 360
first you group the like terms
23x + 14x + 70 - 5 + 110 = 360
then combine the like terms
<u>23x + 14x</u> <u>70 - 5 + 110</u>
37x + 175 = 360
subtract 175 from both sides
175 - 175 = 0 360 - 175 = 185
to get
37x = 185
divide both sides by 37
37x/37 = 0 185/37= 5
which gives you
x = 5
Answer:
B. 3/4
Step-by-step explanation:
Care with these types of graphs as the values are 2 rather than one on each axis.
Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use
.
To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.
Answer:
103.18units³
Step-by-step explanation:
Area of the sector DEF = theta/360 * πr²
r is the radius
theta is the angle subtended at the centre
theta =70 degrees
radius DE = 13units
Substitute
Area of the sector = 70/360 * 3.14(13)²
Area of the sector = 7/36 * 530.66
Area of the sector = 3,714.62/36
Area of the sector = 103.18units³ (to the nearest hundredth)