1st question: ∠G = 180 - (104+33) = 43°. According to the picture, we can claim that. Indeed, we considered that ∠N= ∠H.
2nd question: In order to carry out this transformation, using similarity transformation the following steps must be applied
1) From the center of the second circle to the center of the first circle, a vector has to be drawn
2) The second circle must be carried to the first circle by this vector.
3) Finally, the transformation is done by this dilation. Indeed, everything comes to the theorem for the similarity of the circles that all circles are similar.
And the scale factor is
So let’s imagine this on a number line…so we know that the fish starts at -17 1/3 on the number line but he dives (that means go lower in our number line) 6 1/2 feet downward so let’s set up an equation:
-17 1/3 - 6 1/2
Now, let’s subtract the two integers by finding the least common denominator of 2 and 3 so it can be easier to solve in this case it’s 6…then let’s set up our new equation:
-17 2/6 - 6 3/6
We know it’s a negative number since we are subtracting a negative number and our final answer is -23 5/6
We have to find the value of the expression:
( x - y )² ; when x = 5 and y = - 1.
( 5 - ( - 1 ) )² = ( 5 + 1 )² = 6² = 36
Answer: the value is 36.
Answer:
Step-by-step explanation:
area = ½×base×height
21 = ½(x+1)x
42 = (x+1)x
x² + x - 42 = 0
(x+7)(x-6) = 0
x = -7, 6
-7 is an extraneous solution, so x = 6
Answer:
y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.
Step-by-step explanation: