Will BRAINLY! I need help with this proof.
1 answer:
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It is given that the triangle is isosceles right triangle . And in an isosceles right triangle the legs are equal . Let each leg be of x units. Now we use pythagorean identity, which is
So the length of each leg is
Answer:
D. Subtraction property of equality; n = 15
Step-by-step explanation:
Given equation that shows the cost of n basketballs uniforms,
C = 40n + 260
According to the question,
Total cost = $ 860,
⇒ 40n + 260 = 860
Using subtraction property of equality, subtract 260 on both sides,
⇒ 40n = 860 - 260
⇒ 40n = 600
Using division property of equality, divide both sides by 40.
⇒ n = = 15.
Hence, 15 uniforms were purchased.
i.e. Option D is correct.
Answer:
Step-by-step explanation:
a = 2, b = 1, c = -3
We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.
a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):
Group the first 2 terms together and the second 2 term together in order to factor:
and factor out what's common in each set of parenthesis.
Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:
That matches your first choice