Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
1) A translation 2 units right
2) A reflection over the x-axis
Answer:
C.
Step-by-step explanation:
pretty positive! :) hope it helps you
Using the Pythagorean Theorem, you should get 45 [9 + 36]. Then, take the square root of 45 and simplify it to 3√5.
Answer:
y = -7/5x
Step-by-step explanation:
First, we need to use the two points to find the slope.
m = y₁ - y₂ / x₁ - x₂
m = -7 - 0 / 5 - 0
m = -7/5
Now we know that the slope is -7/5. Now we'll substitute the information we've gathered into the point-slope form equation to get an equation.
y - y₁ = m(x - x₁)
y - (-7) = -7/5(x - 5)
y + 7 = -7/5x + 7
y = -7/5x
Therefore, the equation of the line is y = -7/5x.
