Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
Answer:
50 feet
Step-by-step explanation:
We have to find the perimeter of the fence surrounding the garden.
2l+2w
2(15) + 2(10)
30 + 20
= 50
50 feet will be needed.
Answer:
B). SAS similarity.
Step-by-step explanation:
In Δ WVU & ΔCAB,
UV/CA = 17/34 = 1/2
&
VW/AB = 14/28 = 1/2
∵ UV/CA = VW/AB = 1/2
& ∠V = ∠A (Given)
∵ ΔWVU ≅ ΔCAB (by SAS similarity)
Hello from MrBillDoesMath!
Answer:
27
Discussion:
By the distance formula (or Pythagorean theorem)
distance = sqrt ( (change in x)^2 + (change in y)^2)
In our case this becomes
distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)
= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)
= sqrt ( ( 18 + 9) ^2 + 0^2 )
= sqrt ( 27^2)
= 27
Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before
Thank you,
MrB
Answer:
35% or 35/100
Step-by-step explanation:
Gage Millar, Algebra 2 tutor
Choosing a number LESS than (not equal to 8) is 7/10 (1,2,3,4,5,6,7)
Chosing an even number is 5/10 (2,4,6,8,10)
so just multiply 7/10 x 5/10 to get 35 over 100, or a 35% chance