Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
x=82
Step-by-step explanation:
Answer:
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Step-by-step explanation:
As shown you have an equality, not an inequality.
-6x+2=2(5-x) distribute through parenthesis
-6x+2=2(5)+2(-x)
-6x+2=10-2x add 2x to both sides
2x-6x+2=10-2x+2x
-4x+2=10 subtract 2 from both sides
-4x+2-2=10-2
-4x=8 divide both sides by -4
-4x/(-4) = 8/(-4)
x = -2
With the ≥ or ≤ sign you would solve the exact same way
except for the point where when dividing both sides by
-4 requires you to reverse the inequality.
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Answer:
(p−3)⋅(3p+2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(3p2 - 7p) - 6
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3p2-7p-6
The first term is, 3p2 its coefficient is 3 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .
-18 + 1 = -17
-9 +2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2
3p2 - 9p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(3p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (3p + 2)
