Answer:
In standard form x^2/64 + y^2/100 = 1
Step-by-step explanation:
The major axis is the y axis because 10 has a larger value than 8.
8x8 = 64
10 x10 = 100
13/ correct
14/ .5% rest is right
15/?
16/ .080 rest correct
17/ ?
18 ?
Sorry I couldn't find some of them
X4)-(2•(x3)))-32x2)+18x
STEP
2
:
Equation at the end of step
2
:
(((x4) - 2x3) - 32x2) + 18x
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
x4 - 2x3 - 9x2 + 18x =
x • (x3 - 2x2 - 9x + 18)
Checking for a perfect cube :
4.2 x3 - 2x2 - 9x + 18 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: x3 - 2x2 - 9x + 18
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -9x + 18
Group 2: x3 - 2x2
Pull out from each group separately :
Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization
Trying to factor as a Difference of Squares:
4.4 Factoring: x2 - 9
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (x + 3) • (x - 3)
Final result :
x • (x + 3) • (x - 3) • (x - 2)
Answer:
Step-by-step explanation:
295 (miles to drive altogether) - 115 (miles already driven) = 180 (miles left to drive)
115 (miles already driven) / 2 (how many hours it took to reach 115 miles) = 57.5 (miles per hour)
180 (miles left to drive) / 57.5 (miles per hour) = 3.13 (hours it will take to reach the 295-mile mark at a rate of speed of 57.5 miles per hour)
So, you will have to drive more miles per hour than 57.5 miles per hour to be able reach the 295-mile goal, because it would take approximately 3 hours to drive the remaining 180 miles.
You will have to drive AT LEAST 72 miles each hour, and then 36 miles in the half hour to be able to reach the 295-mile mark.
I hope this helps, and is a thorough enough explanation :)
Answer:
C
Detailed explanation down below
Step-by-step explanation:
A bisector divides an angle in half, so we can say that:
7x - 27 = x + 57
7x = x + 84
6x = 84
x= 14
So now lets input this information
7 x 14 - 27 = m∠ LMO = 98 - 27 = 71°
14° + 57° = 71°
(Actually we didnt have to do this second equation because both angles should be equal.)
71° + 71° = 142°
So the answer is C : x=14° . m∠LMN = 142°