Remark
Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.
Solution
<em><u>Step One</u></em>
Find the slope of the new line
m1 = - 1/3
m2 = ??
m1 * m2 = - 1
(-1/3) * m2 = - 1
You could continue by changing (-1/3) to a decimal.
(-0.3333333333) * m2 = -1 Now divide by the decimal
m2 = - 1/ (-0.3333333333)
m2 = 3 which is what my calculator tells me the answer is.
<u>Step Two</u>
So far what you have is
y = 3x + b
Use the point (-3, -7) to get the y intercept.
-7 = 3(-3) + b
b - 9 = - 7
b = -7 + 9
b = 2
y = 3x + 2 Answer
Graph
The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.
The green dot is the point (-3 , - 7)
Answer:
1449/2691
Step-by-step explanation:
We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.
First, let's multiply both by 200:
7 * 200 = 1400
13 * 200 = 2600
1400 + 2600 = 4000
It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:
7 * 205 = 1435
13 * 205 = 2665
1435 + 2665 = 4100
We get even closer, only 40 missing, let's try 207 below:
7 * 205 = 1449
13 * 205 = 2691
1449 + 2691 = 4140
We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691
Answer:
£17,161.20
Step-by-step explanation:
Adding 8% of it to the given amount is equivalent to multiplying the amount by ...
1 + 8% = 1.08
The increased amount is ...
1.08 × £15890 = £17,161.20
Answer:
P(1 dime then 1 nickel)= 15/208= 0.072115
or 7.2%
Step-by-step explanation:
No coin replenished.
total coins =65
P(1 dime then 1 nickel) = (20/65) * (15/64) =20 * 3 / (13 * 64) = 15/(13*16)
P(1 dime then 1 nickel)= 15/208= 0.072115
or 7.2%