Answer:
(9b + 3c + 10d)cm
Step-by-step explanation:
Given the sides of a triangle expressed as (2b+c), (7b + 4d) and (6d+2c). The perimeter of the triangle is the sum of all the sides of the triangles.
Perimeter of the triangle = 2b+c + 7b+4d + 6d+2c
Perimeter of the triangle = 2b + 7b + c + 2c + 4d + 6d
Perimeter of the triangle = 9b + 3c + 10d
Hence the perimeter of the triangle is (9b + 3c + 10d)cm
Answer:
Total
Step-by-step explanation:
A percent bar graph compares the amount in each category to the total amount (sum of all categories) as a percentage.
The thing you have to figure out about this is the distance for each person and the time it takes for the biker to meet the runner. The rates we are told. The formula is distance = rate times time. Let's do that for the runner first. His rate is 6 so the formula so far is d = 6t. Now let's work on the time. If the biker left an hour later than the runner, then the runner has been running an hour more than the biker. Therefore, the runner's time is t + 1. Hold off on the distance part til we do for the biker what we just did for the runner. The biker's rate is 14, and we already decided that his time is t. His equation is d = 14t. Now at the exact moment the biker meets the runner their distances are the same. So if the equation for the runner is d = 6t + 6 and the equation for the biker is d = 14t and their distances are the same, by the transitive property, their rates and times are the same as well, meaning we set them equal to each other and solve for t. 6t + 6 = 14t. 6 = 8t and t = 3/4. This means that it took 45 minutes for the biker to meet the runner.
Answer:
y=-3x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-7)/(4-(-1))
m=-15/(4+1)
m=-15/5
m=-3
y-y1=m(x-x1)
y-7=-3(x-(-1))
y-7=-3(x+1)
y=-3x-3+7
y=-3x+4
<h3>
Answer: Choice D. 4x^2 + 20x + 25</h3>
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Explanation:
Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2
So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.
Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.
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(a+b)^2 = a^2+2ab+b^2
(2x+5)^2 = (2x)^2+2*2x*5+5^2
(2x+5)^2 = 4x^2 + 20x + 25
