Answer:
see attached
Step-by-step explanation:
y-2=-2(x+4)
y -2 = x(-2) + 4(-2)
y -2 = -2x - 8
y = -2x - 8 + 2
y = -2x - 6
When x = 0, y = -6. Hence (0,-6) is a point on the line
when y = 0, x = -3. Hence (-3,0) is a point on the line.
Plot these 2 points and connect with a line (see attached)
Answer:
k = 9
Step-by-step explanation:
n = 3, so substitute 3 for n in the equation
k = 3(3)
k = 9
Answer:
Alternate Exterior Angles Theorem
Step-by-step explanation:
By looking, we can see that they are exterior angles. Because 2 parallel lines are cut by a transversal, the angles are congruent.
We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
<span>
the answer part A) is
</span>
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)</span>
Answer:
27) 14x
28) n/9
29) A number, z, divided by 11
30) The sum of a number, z, and 11
