Answer:
Step-by-step explanation:
The first number is
−
13
and the second number is
−
6
Explanation:
Let's let the first number be
n
and the second number be called
m
.
Then, from the first sentence we can write:
n
=
m
−
7
and from the second sentence we can write:
2
n
=
6
m
+
10
Substitute
m
−
7
for
n
in the second equation and solve for
m
:
2
(
m
−
7
)
=
6
m
+
10
2
m
−
14
=
6
m
+
10
2
m
−
14
−
2
m
−
10
=
6
m
+
10
−
2
m
−
10
−
14
−
10
=
6
m
−
2
m
−
24
=
4
m
−
24
4
=
4
m
4
m
=
−
6
Now substitute
−
6
for
m
in the first equation and calculate
n
:
n
=
−
6
−
7
n
=
−
13
The graph shown is decreasing.
Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
The numbers 8, 15, 17 are a Pythagorean Triple, so we know the radius of the circle is 17. Filling in the given information in the standard equation of a circle, we get ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
(x +8)^2 +(y -15)^2 = 289 . . . . . circle with center (-8, 15) and radius 17
_____
Once you have identified the center (h, k)=(-8, 15) and a point you want the circle to go through (x, y)=(0, 0), evaluate the equation for the circle to find the square of the radius:
(0 +8)^2 +(0 -15)^2 = r^2 = 64+225 = 289
Answer:
-56
Step-by-step explanation:
You have a negative plus a positive which will give you a negative for the answer. Because you are adding a positive 28 to a negative 84 you get a negative 56.