Answer:
Step-by-step explanation:
This is because you use Pythagorean theorem. a^2 + b^2 = c^2.
Answer:
16 males and 9 females
Step-by-step explanation:
To solve this we can use a system of equations.
Let's start by naming the number of females x.
The number of males would then be y.
<u>Using these variables, we can set up 2 equations using info provided:</u>
A french class has a total of 25 students, -> x+y=25
The number of males is 7 more than the number of females -> x+7=y
Use substitution to solve.
<u>From the second equation:</u>
x+7=y
Subtract 7 from both sides.
x=y-7
Substitute that into the first equation.
x+y=25
y-7+y=25
Combine like terms.
2y-7=25
Add 7 to both sides.
2y=32
Divide both sides by 2.
y=16
Substitute y=16 into equation 2.
x+7=y
x+7=16
Subtract 7 from both sides.
x=9
Therefore, there are 16 males and 9 females in the french class.
Hope this helps
Answer = 4,328.12
4,000
300
20
8
0.1
0.02
Answer:
A. 2·x² + 16·x + 32 ≥ 254
Step-by-step explanation:
The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are
The width of the cake = The width of the photo at the center of the cake, x + 4 inches
The length of the cake = 2 × The width of the cake
The area of the cake Wanda is working on ≥ 254 in.²
Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;
W = x + 4
L = 2 × W
Area of the cake, A = W × L ≥ 254
∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254
The inequality representing the solution is therefore;
2·x² + 16·x + 32 ≥ 254
the solution is here,
the coordinate of centre of circle A is (3,2)
and the coordinate of centre of circle B is (3,0).
so the translation point from A to B is (3-0,0-2)=(3,-2).
Now the translation rule is given by (x+h,y+k)
where h is the tranalation anlong the x-axis and k is the translation along the y-axis.
For this problem, translation ruleis (x+3,y-2).
Then, radius of circle A(r1)=2 units
radius of circle B (r2)= 3 units
as the circle A is translated to B, the scale factor is
r2/r1=3/2=1.5
In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5
