Answer:
<em>In 5 years the product of their ages will be 208</em>
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
Simplifying:
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
Answer:
a If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
Step-by-step explanation:
y = sqrt(4x+16) +5
y = sqrt(4 (x+4)) +5
y = sqrt(4) sqrt(x+4) +5
y =2sqrt(x+4) +5
f(x) = sqrt(x) this is the parent function
g(x) = sqrt(x+4) This moves it to the left 4 units
h(x) = 2 sqrt (x+4) This stretches it by 2 in the y direction
j(x) = 2 sqrt(x+4) +5 This moves it up by 5 units
y = 2sqrt(x+4) +5
This is to the left 4 units, stretched 2 units in the y direction and up 5 units
If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
The area of a triangle can be shown in the equation Area=1/2(base)(height). Since you are given area and height, you can just solve for the base.
6=1/2(base)(4) ---> 6=2(base) ---> base=3
Answer:
3. 2/9,2,0
Step-by-step explanation:
(2/9,2,0,-7)
Answer:
6+x
6 x
Step-by-step explanation:
The top question mark is 6+x. The bottom left question mark represents 6 unit squares and should be changed to 6. The large block on the right which has unknown value is x. Change the bottom right question mark to x.
