Answer:
x=2 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+6)(x−4)=−16
Step 1: Simplify both sides of the equation.
x2+2x−24=−16
Step 2: Subtract -16 from both sides.
x2+2x−24−(−16)=−16−(−16)
x2+2x−8=0
Step 3: Factor left side of equation.
(x−2)(x+4)=0
Step 4: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
(fog)(x) = f[g(x)] ...................
Answer:
Correct Answer: (8,2)
Step-by-step explanation:
<u>Dilation about the origin</u>
Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.
In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).
The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)
The 2 possible ways to fence in the patio are having 8x9, with the nine being the length of the wall. Because 8+8+9=26. The second way is 18x4 and the 18 being the length of the wall. Because 18+4+4=26.
9514 1404 393
Answer:
1.67 m, 8.33 m
Step-by-step explanation:
If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...
1 : (1+5) = 1 : 6
The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.
The lengths of the pieces are 8.33 m and 1.67 m.
