no 1 really knows but scientists believe that the Earth was formed 3-3.5 billion
Answer:
3
b
11
6
Step-by-step explanation:
3
b
1
2
⋅
b
4
3
Move
b
4
3
.
3
(
b
4
3
b
1
2
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
3
b
4
3
+
1
2
To write
4
3
as a fraction with a common denominator, multiply by
2
2
.
3
b
4
3
⋅
2
2
+
12
To write 1
2
as a fraction with a common denominator, multiply by
3
3
.
3
b4
3
⋅
2
2
+
1
2
⋅
3
3
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1
.
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3
b
4
⋅
2
6
+3
6
Combine the numerators over the common denominator.
3
b
4
⋅
2
+
3
6
Simplify the numerator.
Answer:
Create a point at (0, -2) and (5, 3) then draw a line that connects and extends beyond these two points.
Step-by-step explanation:
y = mx + b
m = slope which is rise over run
b = y intercept
y = x - 2 actually means y = 1x - 2
m = 1
b = -2
The y intercept of your graph is (0, -2) and your slope is 1 - so from the y intercept move up 1 (for the purpose of graphing move up 5) and to the right 1 (for the purpose of graphing move right 5) to the point (1, -1) or (5, 3) Just be sure to move up and to the right the same number of places and create a point. Then draw a line connecting and extending beyond these two points.
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
The given line is in point-slope form.
All options are also in point-slope form.
We can read the slope off the point-slope form easily.
The slope is 2.
A perpendicular to that line must have slope -1/2.
Only one line in the options has slope -1/2 and it's option B.