Circle 1's center is at x=-4 and Circle 2's center is at x=5. To translate Circle 1 to Circle 2, we need to shift the circle to the right 9 places:
5 - (-4) = +9
We do the same thing for the y value. We are going from y=-2 to y=3.
3 - (-2) = +5
So the first blank is (9, 5)
Next, the scale factor refers to the factor at which the circle is stretched or shrunk. We find it by comparing the radii. Going from 3 cm to 6 cm, the scale factor is:
6/3 = 2.
The scale factor is 2.
Answer:
Step-by-step explanation:
The <em>sine </em>of an angle in a right triangle is the ratio of the side <em>across</em> from the angle with the hypotenuse of the triangle (the <em>hypotenuse </em>is the side across from the right angle). In this case, the sine of angle A, shortened to 
, is 
.
<em>Cosine</em> is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So 
. Notice that this ratio is the same as the ratio of the side <em>adjacent</em> to angle A (AB), to the hypotenuse.
The <em>tangent</em> is the ratio of the side opposite an angle to the side adjacent to it. Here, 
. So, our trig ratios for this angle are
Answer:
its -4/5
Step-by-step explanation:
Rise/run to find slope which gives you -4/5
<u><em>I hope this helps you :)</em></u>
<u><em>-KeairaDickson</em></u>
Answer:
= -30
Step-by-step explanation:
−2+(7)(−4)
=−2+−28
=−30
