ANSWER:
v = 3 is only a solution to equations 1 and 5.
STEP-BY-STEP EXPLAINATION:
Equation 1:
Therefore, v = 3 is a solution.
Equation 2:
Therefore, v = 3 is not a solution.
Equation 3:
Therefore, v = 3 is not a solution.
Equation 4:
Therefore, v = 3 is not a solution.
Equation 5:
Therefore, v = 3 is a solution.
Answer:
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
Step-by-step explanation:
Let me give you a quick brief of how to master rotations!!
You need to understand the formula and positioning rules
The formulas shall be given by teachers or looked up!
*** BUT THE SHAPE POSITIONING RULES MATTER!!
-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.
The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)
The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!
They want you to graph it by W'X'Y'Z
The ' is prime which is the new position/coordinate
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
That is the rotation 90 degrees clockwise coordinates!!
***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**
Counterclockwise is pretty similar but the opposite direction with different rules!
**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**
Answer:
Well if you are adding then no it is 16 pairs of clothing
Step-by-step explanation:
In triangle b. we know that tan(x) = Opposite side to x angle / Adjacent side to angle x.
By substituting in above formula,
tan(x) = 12/5 = 2.4
x = tan^-1(2.4) = 68 degrees.
And in triangle a. i am not clear with the angle. Is it 51 or any other?
<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
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Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
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Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
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Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
