For any triangle, the 2 shortest sides added together have to be longer than the longest sides.
short side (10) + short side (5) needs to be greater than (>) longest side (20)
10 + 5 > 20
15 > 20
This inequality is incorrect, so the lengths cannot make a triangle.
Hope this helps :)
Answer:
19
Step-by-step explanation:
7(<u>2 + 3</u>) − 4 · 2² ← like that right so
<u>parenthesis first add the numbers up↓</u>
7(5) - <u>4</u> · 2²
write number in exponential form↓
<u>7(5)</u> - 2²· 2²
multiply↓
35 - <u>2² · 2²</u>
calculate the product↓
35 - <u>2⁴</u>
evaluate the power↓
35-16
then subtract↓
19
If

is odd, then

while if

is even, then the sum would be

The latter case is easier to solve:

which means

.
In the odd case, instead of considering the above equation we can consider the partial sums. If

is odd, then the sum of the even integers between 1 and

would be

Now consider the partial sum up to the second-to-last term,

Subtracting this from the previous partial sum, we have

We're given that the sums must add to

, which means


But taking the differences now yields

and there is only one

for which

; namely,

. However, the sum of the even integers between 1 and 5 is

, whereas

. So there are no solutions to this over the odd integers.
Answer:
12
Step-by-step explanation:
-4 * -3
12
When you multiply two negatives, you get a positive number.
Hope this helps ^-^