Answer:
x= 2
x= -3
Step-by-step explanation:
<u>Solving as normal quadratic equation:</u>
- 2x^2+2x=12
- x^2 +x = 6
- x^2 + x - 6= 0
- x = (-1 ± √(1+4*1*6)/2
- x = ( - 1 ± √25)/2
- x = (-1 ± 5)/2
- x= 2
- x= -3
<u>Roots are</u> 2 and -3
Answer:
3
Step-by-step explanation:
because its is like subtacting
Answer:
1.) 90 ways
2.) 15,600 ways
3.) 24 ways
Step-by-step explanation:
1.) Let's say we are given 2 digits not equal to each other...The number of different orderings would be 2*1 = 2, or if we wanted the number of ways to order 2 digits chosen : 10*9 = 90 ways
2.) The number of ways to arrange 3 letters from 26 letters is:
26 Permutes 3 = 26! / (26 -3)! = 26*25*24 = 15,600 ways to choose 3 letters in a certain order
3.) 4 different chores. The number of ways to do them = 4*3*2 *1 = 24 ways
Answer: The price for the computer = $1152
Step-by-step explanation:
Let the first boy = F
Let the second boy = S
Let the price of computer = C
The second boy had 5/ 6 of the money the first had. I.e
S = 5/6 F
Then F = 6/5S ......(1)
The first boy had 7 /8 of the price of the computer. That is
F = 7/8C ....... (2)
Substitute F in (1) into (2)
6/5S = 7/8C
S = 5/6 × 7/8C
S = 35/48C ......(3)
Together they had $696.00 more than they need to pay. That is
F + S = C + 696 ........ (4)
Substitute equation 2 and 3 into 4
7/8C + 35/48C = C + 696
0.875C + 0.729C = C + 696
0.604C = 696
C = 696/0.604
C = 1152 dollars
Therefore, the price for the computer = $1152
Answer:
∠ KLJ = 70°
Step-by-step explanation:
The segment KL joins the midpoints of 2 sides of the triangle and is therefore parallel to the third side HG , then
∠ KLJ and ∠ HGL are corresponding angles and are congruent , so
∠ KLJ = 70°
