Because we're given two points on the line, we can apply the slope formula to find the answer:
-4 - 8 / 2 - (-1)
-12 / 3
-4
<h3>The slope of the line is -4.</h3>
Answer:
x=-3, y=2
Step-by-step explanation:
6x+6y=-6
simplify
x+y=-1
y=-x-1
substitute
5x-x-1=-13
4x=-12
x=-3
substitute for y
y-3=-1
y=2
Answer:
so u wanna date ;)
Step-by-step explanation:
<u>Answer</u>:
The correct option is C : x² + (y +3)² = 9 .
<u>Step-by-step explanation:</u>
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
- r is the radius.
- (h , k) is the center.
Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
<h3>
<u>Hence the correct option is C [ x² + ( y+3)² = 9 ] .</u></h3>
• Note that I have attached the graph of the same .
Answer:
Yusuf = 37.5
Ajay = 13.5
Step-by-step explanation:
Lets say.. Yusuf = y and ajay = a
y = 24+a (since yusuf is 24 years older than ajay)
5 years before, the sum of their ages was 41 so subtract 5 from y and a and add the two.
(y-5)+(a-5)=41
We already have defined y in terms of a (y =24+a) so we substitute that in for y.
(24+a-5)+(a-5)= 41
24-5 = 19
19+a+a-5=41
a+a = 2a
2a+19-5 = 41
19-5 = 14
2a+14 = 41
subtract 14 from both sides
2a=27
a=13.5
substitute that in y=24+a
y=24+13.5
y=37.5
lets check these answers.
(37.5-5)+(13.5-5)= 41
37.5-5 = 32.5 and 13.5-5= 8.5
32.5+8.5=41??
Correct!