Answer:
The y-intercept is where an equation's graph hits the y-axis. It represents the constant value, when x=0, the intercept is the constant
Step-by-step explanation:
The GCF of the three terms (9a, -18b and 21c) is 3
Rewrite each of the terms so 3 is a factor
9a = 3*3a
-18b = -3*6b
21c = 3*7c
So we can say...
9a - 18b + 21c = 3*3a - 3*6b + 3*7c
9a - 18b + 21c = 3(3a - 6b + 7c)
Answer: 3(3a - 6b + 7c)
If you distribute outer 3 to each of the inner terms and multiply, you'll get the original expression again.
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:

To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are:
Answer:
4x + 50 = y
Step-by-step explanation:
Since it is $4 for each audiobook, this means that it is the slope.
Since Jamal started with an initial fee, this makes it the y-intercept.
So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y
<u>Y-intercept</u> is the starting number, in this case, the initial fee.
<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent
Answer:
£1690
Step-by-step explanation:
Amount invested by Brian = £1300
rate of simple interest = 10%
To find money Brian will have after three years
He will have amount invested in bank and interest earned in three years from that amount.
Simple interest for any principal amount p is given by
SI = P*R * T /100
where SI is simple interest earned
T is time period for which simple interest is earned
R is rate of interest
Substituting value of P , R and T we have
SI = 1300*10* 3 /100 = 390
Therefor interest earned will be £390
Total money with Brian after three years = principal amount invested + interest earned in 3 years
= £1300 + £390 = £1690