15 = 3 parts
15 divided by 3 = 5
5 = 1 part
A calls for 5 parts
5 • 5 = 25
Answer: 25 Milliliters
Answer:
subtract a constant from both sides
Step-by-step explanation:
The first step in solving an equation like this is to get the coefficients and variables by themselves, and to do that, you must separate the coefficients (numbers being multiplied by a variable) from the constant (numbers not being multiplied by a variable). You do this by subtracting the constant from both sides of the equation to ensure that they are equal (you subtract -10 from both sides here (adding 10 to both sides)).
The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
Read more about trinomial at:
brainly.com/question/1538726
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Answer:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.
The horizontal parallel sides are on the x-axis.
Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.
So option 1 and 2 are removed.
Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.
In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size,
180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself
I hope this helps you
slope = -1 x'= -3 y'=5
slope. (x'-x)=y'-y
-1. (-3-x)=5-y
3+x=5-y
y=2-x