Answer:
Step-by-step explanation:
-4 > x / -7....multiply both sides by -7, and flip the sign
-4 * -7 < = x
28 < x....or x > 28
yes, they are both the same.
28 < x ....this is saying that 28 is less then x
x > 28....this is saying that x is greater then 28
so there both saying the same thing
Answer: Choice B) {3, 5, sqrt(34)}
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Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
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For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
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Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
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Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
Answer:
The third X is 6. The fourth Y is 4.5
Step-by-step explanation:
The Rule : X is twice as large as Y. Y is half the size of X.
You can get this piece of information by looking at the different values.
For example, y=1 is x=2. This follows the rule. x=4 is y=2.
We have confirmed the rule is true, now we just need to carry the information into the other blocks!
Best of luck on the quiz! Please give brainliest if I helped you out!
