Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
In the given equation, 
is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of . Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-29) and solve for b
Simplify -6 and 2
Add 15 to both sides to isolate b
Therefore, the y-intercept is -14. Plug this back into :
I hope this helps!
7 + (-3x^2) for x = 0 7 + [-3(0)^2]; = 7 + -3(0); = 7 - 0; = 7
I cant see the image...but I take it that the midpoint is (9,8) and the endpoint S is (10,10) and ur looking for the other endpoint R.
midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(10,10)....x1 = 10 and y1 = 10
(x,y)....x2 = x and y2 = y
so we sub
(10 + x) / 2, (10 + y) / 2 = 9/8
(10 + x) / 2 = 9
10 + x = 9 * 2
10 + x = 18
x = 18 - 10
x = 8
(10 + y) / 2 = 8
10 + y = 8 * 2
10 + y = 16
y = 16 - 10
y = 6
so endpoint R has coordinates of (8,6) <===
We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k)-----> is the center
r--------> is the radius
is the center is the point (0,0) and radius r=20
then
(h,k) is (0,0)
(x-0)²+(y-0)²=20²---------> (x)²+(y)²=400
the answer is
the option D.) x2 + y2 = 400
Answer:
2967 yes votes
Step-by-step explanation:
Welcome to Brainly!
One way of doing this problem follows:
Find the ratio, r, mentioned in the problem statement. To do this,
write the equation 3r + 5r = 7912 and solve this for r:
8r = 7912, so that r = 989.
Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.
check: Does the ratio 2967/4947 equal 3/5? yes.
There were 2967 yes votes.
