Answer:
15/2
Step-by-step explanation:
Hello,
the area of a triangle is b*h/2
we can set BC as the base because AC is harder to calculate.
Then we draw an imaginary height.
There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5
The base is 3
3*5/2 = 15/2
Thanks,
lacampanella
Eliminate x's
multiply 2nd equation by -2 ad add to first
2x+3y=9
<u>-2x-10y=-16 +</u>
0x-7y=-7
-7y=-7
divide by -7
y=1
sub back
2x+3y=9
2x+3(1)=9
2x+3=9
minus 3
2x=6
divide 2
x=3
x=3
y=1
(x,y)
(3,1)
D
Answer:

Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:

We need
and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so
would be 7

Now, the slope (m).
It has formula

So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:

Hence, the equation of the line in point-slope is:

Answer:
The circumference of the circle = 26π unit.
Step-by-step explanation:
Given:
Radius of the circle, r = "x+6"
Diameter of the circle, d = "3(x)+5"
We have to find the circumference of the circle in terms of pi.
Formula to be used:
Circumference of a circle = 2πr or πd
As we know that:
Radius = Half of diameter
So,
⇒ 
⇒
⇒ 
⇒ 
⇒
...<em>Arranging variables and constants. </em>
⇒
Plugging x = 7 we will find the radius and the diameter.
⇒ Radius = "x+6" = "7+6" = 13
⇒ Diameter = "3(x)+5" = 3(7)+5 =26
Lets find the circumference of the circle.
⇒ Circumference =
Or
⇒ Circumference =
The circumference of the circle = 26π unit.