Answer:
a=
b=
Step-by-step explanation:
Here
is like the
in the general formula.
So we can write
as:
We can also write
as:
Therefore:
a³=
b²=
Answer:
11. c
12. c
Step-by-step explanation:
11. Since Angle RST = 60 degrees, Angle RTS = 60 degrees.
Triangle STU is a right triangle, so Angle STU and Angle SUT are both 45 degrees.
Angle RTS + Angle STU + Angle UTQ = 180 degrees
60 + 45 + Angle UTQ = 180
Angle UTQ = 180 - 105
= 75 degrees
12. Using the corresponding angles theorem, x = 45 degrees and y = 35 degrees.
x + y
45 + 35
80
Answer:


Step-by-step explanation:
Given
Let
f = Father's age
s = Son's age
We'll solve this question, while reading through the instructions
From the first statement;
f is 2 less than 7 times s.
This means

In two years time, the father will be f +2 and the son will be s + 2
So, their sum is:


Collect like terns


So, the equations are:


3 days = 72 hours + 12 hours = 84 hours
12600 watt hours / 84 hours
= 150 watt hours / 1 hour
It’s asking how many watt hours consumed per day. We know 150 watt hours per hour so multiply that by 24 because 24 hours in a day
= 3600 watt hours per day
The equation of the line is y = 1/6x + 3
<h3>How to determine the equation?</h3>
The equation of the line is given as:
y = -6x - 14
The above equation has a slope of
m = -6
Let the slope of the other line be n.
So, we have:
n =-1/m ---- slope condition for perpendicular lines
So, we have:
n = 1/6
The equation is then calculated as:
y = n(x - x1) + y1
Where
(x1, y1) = (12,5)
This gives
y = 1/6(x - 12) + 5
Expand
y = 1/6x - 2 + 5
Evaluate the sum
y = 1/6x + 3
Hence, the equation of the line is y = 1/6x + 3
Read more about linear equations at:
brainly.com/question/14323743
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