Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Answer:
x= 3
y= 3
Step-by-step explanation:
Step: Solve−x+y=0 for y:
−x+y=0
−x+y+x=0+x (Add x to both sides)
y=x
Step: Substitute x for y in 4x−3y=3:
4x−3y=3
4x−3x=3
x=3 (Simplify both sides of the equation)
Step: Substitute 3 for x in y=x:
y=x
y=3
Answers:
A''(3, 0); B''(3, 2); C''(1, 1); D''(1, -1)
Explanation:
We perform the reflection across y=x first. This reflection switches the x- and y-coordinates; this maps:
A(2, 4)→A'(4, 2)
B(4, 4)→B'(4, 4)
C(3, 2)→C'(2, 3)
D(1, 2)→D'(2, 1)
Next we perform the translation. This translation shifts the figure 1 unit left and 2 units down, by subtracting 1 from the x-coordinate and 2 from the y-coordinate. This maps:
A'(4, 2)→A''(3, 0)
B'(4, 4)→B''(3, 2)
C'(2, 3)→C''(1, 1)
D'(2, 1)→D''(1, -1)
Answer:
its 123 look at the immage
Step-by-step explanation:
Answer:
45 ways
Step-by-step explanation:
Total number of kids = 10
We have to select the 2 kids
So the number ways to select two kids ![^{10}C_2](https://tex.z-dn.net/?f=%5E%7B10%7DC_2)
We know that ![^{n}C_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5E%7Bn%7DC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
So ![^{10}C_2=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\times 8!}=\frac{10\times 9\times 8!}{2\times 8!}=45](https://tex.z-dn.net/?f=%5E%7B10%7DC_2%3D%5Cfrac%7B10%21%7D%7B2%21%2810-2%29%21%7D%3D%5Cfrac%7B10%21%7D%7B2%21%5Ctimes%208%21%7D%3D%5Cfrac%7B10%5Ctimes%209%5Ctimes%208%21%7D%7B2%5Ctimes%208%21%7D%3D45)
So there are 45 ways to select 2 competitors