Answer:
4(2e - 3)(3e + 1)
Step-by-step explanation:
Given
24e² - 28e - 12 ← factor out 4 from each term
= 4(6e² - 7e - 3) ← factor the quadratic
Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.
product = 6 × - 3 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the e- term
6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )
= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term
= (2e - 3)(3e + 1)
Then
24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form
Answer:
Vertex: (-2,1)
X - intercepts: There are no x intercepts
Y - intercept: (0,2)
Step-by-step explanation:
Just look at the graph, it says it all.
9514 1404 393
Answer:
DE = 86
EF = 84
Step-by-step explanation:
We assume that point E lies on segment DF, so that ...
DE + EF = DF
(3x +20) +(2x +40) = 170
5x = 110 . . . . . . . . . . . . . . . collect terms, subtract 60
x = 22 . . . . . . . . . . . . divide by 5
DE = 3×22 +20 = 66 +20 = 86
EF = 2×22 +40 = 44 +40 = 84
Answer:38.56
Step-by-step explanation:
tan35=opposite ➗ adjacent
0.7002=27 ➗ x
Cross multiplying we get
0.7002(x)=27
Divide both sides by 0.7002
0.7002x ➗ 0.7002=27 ➗ 0.7002
x=38.56041131
x=38.56 nearest hundredth
Answer:
a) scale factor = 1.5
b) d length is 7.5
c) Area scale factor is 2.25
Step-by-step explanation:
Given QR =6
And ST =9
Length Scalar factor = enlarged length /previous length
=9/6
=1.5
Length Scalar factor =1.5
b)we know PS enlarged length of PQ
Length scale factor = PS/PQ
1.5 =PS/5
PS =5×1.5
PS =d =7.5
d length is 7.5
c)Formula :
Area scale factor = (length scale factor)2
=(1.5)2
=2.25
Area scale factor is 2.25
