Answer:
Formula of the slope of the line
m=(y2-y1)/(x2-x1)
y2= -1, y1 = 4
x2=5, x1 = -2
m=(-1-4)/(5-(-2)) = -5/7
Answer is D. slope = -5/7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
An = a1 + (n-1)d
an = 27 + (n-1)(-6)
Answer:
x = 2√2
Step-by-step explanation:
This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.
In the case, the hypotenuse is already 4. So we have the equation:
x√2 = 4
Multiply both sides by √2
2x = 4√2
Divide both sides by 2
x = 2√2
Answer:
D 2400 ft^2
Step-by-step explanation:
His joumey maps out a right angles triangle with base 80 and height 60.
The required area = 1/2 * 80 * 60
= 2400 ft^2
