Distribute the 5 into the polynomial to get 5a + 5b - a - b. Combine like terms to get 4a + 4b, your answer.
The direct relationship between the original distance and the resulting distance is y = 3 · x.
<h3>What is the relationship behind a given statement and graph?</h3>
In this problem we find the case of a direct relationship, that is, a linear relationship between two b. According to this case, the original distance (d), in yards, is directly proportional to the resulting distance (d'), in feet.
y = k · x
Where:
- x - Original distance, in yards.
- y - Resulting distance, in feet.
- k - Proportionality constant, in feet per yard.
If we know that x = 1 yd and y = 3 ft, then the proportionality constant is:
k = y / x
k = 3 ft / 1 yd
k = 3 ft / yd
The direct relationship is y = 3 · x.
To learn more on direct relationships: brainly.com/question/27989875
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What is the weight of each pillow? If the weight is 3 then it would be 21 pounds all together because 3 pounds x 7 pillows.
<u>Answer:</u>
The quen is as following:
ABC is a right triangle at C,
Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1
If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.
<u>The solution is: m∠HCL = 30°</u>
<u>Step-by-step explanation:</u>
See the attached figure.
∵The triangle is right at C ∴∠C = 90°
∴∠A + ∠B = 90° ⇒(1)
∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1
∴∠A = 5 times ∠B
Substitute at (1)
∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15° and ∠A = 75°
∵CL is an angle bisector of ∠ACB
∴ ∠ACL = 90°/2 = 45°
∵ CH is an altitude to AB ⇒ ∠CHA = 90°
At the triangle AHC:
∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°
<u>∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°</u>