Answer:

Step-by-step explanation:
The first step is to find the GCF. Here, it's 3.

Then, you factor the polynomial in the parenthesis.
To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.

This of this polynomial as 2 problems.

Then, factor again.


Then, you keep the factors in parenthesis, and combine the numbers on the outside.

Since, there are 2 of the same factor, you only need one.

BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:

A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles
a^2+b^2=c^2
a=b because the sides are equal (11)
11^2+11^2=c^2
242=c^2
square root both sides
11√2=c
the diagonal legnth is 11√2 centimiters
<h3>
Answer: x-2y = -8</h3>
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Explanation:
Multiply both sides by 2 to clear out the fraction
y = (1/2)x+4
2y = 2[ (1/2)x + 4 ]
2y = 2*(1/2)x + 2*4
2y = x + 8
Then move the x term over to the left side
2y = x+8
2y-x = 8
-x+2y = 8
Optionally we can multiply both sides by -1
-x+2y = 8
-1*(-x+2y) = -1*8
x-2y = -8
This is in standard form Ax+By = C with A = 1, B = -2, C = -8
The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.
Answer:
first of all,
Step-by-step explanation:
In triangle ABC one side equal and two sides equal
Step-by-step explanation:
We are given a prism whose base is square with sides 8 in and height 12 in.
If we take cross section through vertices A, B and C
We will get a cross section as triangle.
In triangle ABC, sides are AB, BC and AC
AB is diagonal of top square whose side 8 in.
AC is face diagonal of front face.
BC is face diagonal of right face.
AC=BC≠AB
Hence, In triangle ABC one side equal and two side equal
Hope this helps!!