If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;
<em>X' = (3, -1)</em>
<em>Y' = (2, -2)</em>
<em>Z' = (-1, -3)</em>
<h3>Rotation of coordinates</h3>
If the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;
(x, y) - > (y, -x)
From the given triangles, the coordinate points are expressed as
<em>X = (1, 3)</em>
<em>Y = (2, 2)</em>
<em>Z = (3, -1)</em>
If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;
<em>X' = (3, -1)</em>
<em>Y' = (2, -2)</em>
<em>Z' = (-1, -3)</em>
Learn more on rotation here: brainly.com/question/26249005
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Answer:
The cost for each pound of chocolate chips is $2.75 and the cost for each pound of walnuts is $3.75.
Step-by-step explanation:
9x+7y=51
3x+5y=27
----------------
9x+7y=51
-3(3x+5y)=-3(27)
-------------------------
9x+7y=51
-9x-15y=-81
-------------------
-8y=-30
8y=30
y=30/8
simplify,
y=15/4
9x+7(15/4)=51
9x+105/4=51
9x=51-105/4
9x=(204-105)/4
9x=99/4
x=(99/4)/9
x=(99/4)(1/9)=99/36
simplify
x=2.75
So the cost for each pound of chocolate chips is $2.75 and the cost for each pound of walnuts is $3.75.
4.
This is because 4 goes into 16 4 times, hence 4 x 4 being 16.
Therefore, the answer would be four.
Hope this helps!
Answer:
x = 2
Step-by-step explanation:
You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 25 from both sides of the equation:
5x + 25 (-25) = 35 (-25)
5x = 35 - 25
5x = 10
Isolate the variable, x. Divide 5 from both sides:
(5x)/5 = (10)/5
x = 10/5
x = 2
x = 2 is your answer.
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Answer: 0.713709862 rad
Step-by-step explanation: