Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
X+y=45
2x=3y
2(45-y)=3y
90-2y=3y
90=5y
y=18
x+y=45
x+18=45
x=27
The two numbers are 18 and 27
Calculista Ambitious
the correct question in the attached figure
Let
s----------> total savings
case a) Israel added $80 to his savings
we know that
80=(1/8)*s-------> multiply by 8 both sides------> s=$640
the answer case a) is
the equation is
80=(1/8)*s
case b) Israel added $120 to his savings
we know that
120=(1/8)*s-------> multiply by 8 both sides------> s=$960
the answer case b) is
the equation is
120=(1/8)*s
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Answer:
30 miles²
Step-by-step explanation:
To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.
<em>(b*h)÷2 = Area of a triangle</em>
<em />
<em>Base = 4</em>
<em>Height = 3</em>
<em>Now:</em>
<em>(4*3)/2 = 6 miles²</em>
<em />
<em>Now we have to multiply 6 miles² by 5 as our height.</em>
<em />
<em>We get 30 miles² as the volume of the figure.</em>
Answer:
where is the statements
Step-by-step explanation:
