Answer:
A
Step-by-step explanation:
Slope = (3+6)/(-4+1)
= 9/-3
= -3
Y=mx+b
-6= -3×-1 +b
-6 = 3 +b
b = -9
2.3×1.5×10²=3.45×100=345.
Answer:
26.5, 153.5
Step-by-step explanation:
2theta = cos^-1 3/5
2 theta = 53
theta = 53/2 = 26.5, 153.5
Answer:
20.62
Step-by-step explanation:
In this instance, we are going to use the pythagorean theorem.
The height of the gutter will be a leg of the triangle, and the ladder will be the hypotenuse. The formula is
While A and B are legs and C is the hypotenuse. We are trying to find B, the distance from the house.
So plug A and C in:
Now figure it out: first you square 40 and 45:
Isolate the B term: subtract 1600 from both sides
Now take the square root of both sides to find B
And that's your answer
Answer: welcome
Step-by-step explanation:
x
−
z
=
18
Explanation:
We can write the following averages:
x
+
y
+
80
3
and
y
+
z
+
80
3
The first (red) one is greater than the second (blue) one by 6.
Therefore the difference is 6.
x
+
y
+
80
3
−
y
+
z
+
80
3
=
6
×
3
3
×
(
x
+
y
+
80
)
3
−
3
×
(
y
+
z
+
80
)
3
=
6
×
3
x
+
y
+
80
−
(
y
+
z
+
80
)
=
18
x
+
y
+
80
−
y
−
z
−
80
=
18
x
+
y
+
80
−
y
−
z
−
80
=
18
×
×
×
×
×
×
×
x
x
−
z
=
18