6.8 x 10^13 = 68,000,000,000,000
9.46 x10 ^12 = 9,460,000,000,000
6.8 x 10^13 * 1 light year / 9.46 x 10^12 = 7.188 light years.
Answer:
Step-by-step explanation:
|4x + 3| = 9 + 2x
We see the absolute value so we have to consider 2 cases:
(1)
4x + 3 = -9 - 2x
6x = -12
x = -2
(2)
4x + 3 = 9 + 2x
2x = 6
x = 3
Let's plug in both results.
|4(-2) + 3| = 9 + 2(-2)
|-5| = 9 - 4
5 = 5
Therefore x = -2 is a solution
|4(3) + 3| = 9 + 2(3)
|15| = 9 + 6
15 = 15
Therefore x = 3 is also a solution.
Answer:
The slope is -7/4
Step-by-step explanation:
∵ 7x + 4y = 10
∵ y = mx + c ⇒ where m is the slope of the line
∴ Re-arrange the equation
∴ 4y = 10 - 7x ⇒ ÷4
∴ y = 10/4 - (7/4) x
∴ y = 5/2 - (7/4) x
∴ The slope is -7/4
Answer:5p^3-2p^2-7p+1
Step-by-step explanation:
-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)
open brackets
-3p^3+5p-2p^2-4-12p+5+8p^3
Collect like terms
-3p^3+8p^3-2p^2+5p-12p-4+5
5p^3-2p^2-7p+1
Answer:
Option A
Step-by-step explanation:
Jordan is 27 miles short of his biking goal.
This statement states that Jordan is 27 miles behind the goal.
Hayden went 27 miles over his goal.
This statement states that Hayden is 27 miles ahead of his goal.
Option A
Both are 27 miles away from their goal.
True.
Option B
Since, both were 27 miles away from their goal,
Statement is False.
Option C
Since, the goal was same both,
Given statement is False.
Option D
Goal was same for both Jordan and Hayden,
Statement is False.