Answer:
The other solution is 12.
Step-by-step explanation:
Break the solution into groups: (x^2+2x)+(-12x-24)
Factor out the x^2 from the first group to get x(x+2)
Factor out the -12 out of the second group to get -12(x-12)
Here we get (x-12)(x+2)
You can see solutions are -2 and 12.
Answer:
Radius: 19 yards
Diameter: 38 yards
Circumference: 119. 32
Step-by-step explanation:
Radius
To find the radius you divide the diameter by 2 because, the diameter is a; a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
So 38 ÷ 2 = 19
So the radius is 19.
_____________________
Circumference
To find the Circumference you need to do 2·π·19
C=2·π
2·π = 6.28
6.28 · 19 = 119. 32
Circumference is 119. 32
Hey!
You have to use the Pythagorean Theorem
a² + b² = c²
a = 10
10² = 10 × 10 = 100
b = 11
11² = 11 × 11 = 121
100 + 121 = 221
√221 = 14.9(rounded)
Answer ⇒ 14.9
Hope this helps! :)
Answer:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
Step-by-step explanation:
Given function is:
3[|x-1|+2]
Can also be written as:
3|x-1|+6
As we can see that the -1 is grouped with x which means it is a horizontal shift of 1 unit to the right.
Now, 6 is added to the function and it is not grouped with x which means that there is a vertical shift of 6 units upward.
Lastly, 3 is multiplied with the term containing x which means that there is a vertical stretch of 3 units.
Hence, the correct option is:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
3x^2 = 2(x + 4)
3x^2 = 2x + 8
3x^2 - 2x - 8 = 0
(3x + 4)(x - 2) = 0
3x + 4 = 0
3x = -4
x = -4/3
x - 2 = 0
x = 2
solution is : x = -4/3 or x = 2 <==
