Here, Just apply Distributive property which tells, a(b + c) = ab + bc
So, -6(-7 - 3k) = 42 + 18k
In short, Your Answer would be 42 +18k
Hope this helps!
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
0.99999696 is your answer I am pretty sure.
Answer: 450 minutes
Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!
Your welcome!
Good night!
Answer:
1. We assume, that the number 33.39 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 33.39 is 100%, so we can write it down as 33.39=100%.
4. We know, that x is 13% of the output value, so we can write it down as x=13%.
5. Now we have two simple equations:
1) 33.39=100%
2) x=13%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
33.39/x=100%/13%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 13% of 33.39
33.39/x=100/13
(33.39/x)*x=(100/13)*x - we multiply both sides of the equation by x
33.39=7.6923076923077*x - we divide both sides of the equation by (7.6923076923077) to get x
33.39/7.6923076923077=x
4.3407=x
x=4.3407
now we have:
13% of 33.39=4.3407
Step-by-step explanation:
