Answer is 360. Let me know if you need a. explanation. it's kind of weird. you have to sort of combine all the angles and see that they form a complete circle.
Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
A population of 2,000 mosquitos grows at a rate of 15% per month. Which equation models the population, p(t), of the mosquitos after t months?
The easiest way is to show him the formula for the area of a sphere:
Area = 4 π (radius)²
That's a good thing to discuss, because it's a good thing to remember,
and discussing it will help him remember it.
The important part to look at is the part where it says " (radius)² " .
That tells you that if you multiply the radius by (Anything), then
the area is multiplied by (Anything)² .
Since he multiplied the radius by 2, the area was multiplied by (2)² = 4 .
Answer:
the absolute value of 32 ( |32| ) is 32
Step-by-step explanation:
absolute value is asking how far away a number is from 0. so, 32 is 32 numbers away from 0.
hope this helps!