Answer:
1. (12-5)
2. 7(ab)
3. 14
4. -4
5. 0
Step-by-step explanation:
1. rewrite using distributive property
answer: a(12-5)
2. the answer is 7(ab)
3. 9 plus 5 = 14
4. -4
5. 25 plus -25 will be 0
Answer:
2r (1 + √3)
Step-by-step explanation:
Circle O₁ is tangent to AB. Let's call the point of intersection point D. If we draw a radius from the center O₁ to D, we know this forms a right angle.
△ABC is an equilateral triangle, so we know m∠A = 60°. If we draw a line from A to O₁, we know that bisects the angle, so m∠DAO₁ = 30°.
So △DAO₁ is a 30-60-90 triangle. We can find the length AD:
AD = r √3
Now on the other side, circle O₃ is tangent to AB. Let's call the point of intersection point E. We know it's the same triangle we found earlier, so:
EB = r √3
And finally, we can draw a rectangle connecting O₁, O₃, E, and D. The distance between O₁ and O₃ is 2r, so:
DE = 2r.
Therefore:
AB = r√3 + 2r + r√3
AB = 2r√3 + 2r
AB = 2r (1 + √3)
Here's a graph showing the steps. Hopefully this helps, let me know if you have questions!
desmos.com/calculator/hgaonfzxsm
Oh come on haha, .25 , 3/8 , 0.53 , 65% , 87.5% , 4/4 in that order
Answer:
Step-by-step explanation:
Let the rent be x
<u>Discounted rent </u>
<u>Increase applied</u>
<u>Final rent:</u>
- (x - 50) + 10% = (x - 50)*1.1
<u>We know this is equal to x + 5% = 1.05x, comparing now</u>
- 1.1(x - 50) = 1.05x
- 1.1x - 1.05x = 55
- 0.05x = 55
- x = 55/0.05
- x = $1100
