Answer:
<h2>x = 3</h2><h2>AB = 6</h2>
Step-by-step explanation:
<em>Look at the picture.</em>
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B is between A and C. Therefore
We have the equation:
<em>subtract 7 from both sdies</em>
<em>subtract 6x from both sides</em>
<em>divide both sides by (-4)</em>
Calculate the length of AB:
Above the line because that the right answer
Answer:
Aaron travelled about 9 feet underwater
Step-by-step explanation:
We need to work with the information we are given in the question.
there are two stages of Aaron's travel. the first distance was in the air, and the second distance was in the water.
We are given both the total distance travelled and the distance travelled in the air.
To get the distance travelled in water, we subtract the distance travelled in the air from the total distance.
This will be 52 feet - 43 feet = 9 feet
Hence Aaron travelled about 9 feet underwater
5/12, because if you convert them both into 12ths then its 11/12 - 6/12, which is 5/12
Answer:
1) y = -8/5x + 8
2) slope = -3
3) x = 4
4) x ≥ 22/3
5) x = 21/16
6) x = 12
Step-by-step explanation:
1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).
This makes your slope 8/-5 which is the same as -8/5
2) The slope is next to the x, so the slope is -3/1 which is -3.
3) Rearrange the equation to y = mx + b.
Firstly, subtract 6x from both sides:
-3y = -6x + 24
Then, divide both sides by -3:
y = 2x - 8
To get the x-intercept, divide the y-intercept (but positive) by the slope.
8/2 = 4
Your x-intercept is 4.
4) Distribute on the terms:
-53 ≥ -9x - 9 + 3x
Combine like terms:
-53 ≥ -6x - 9
Add 9 to both sides:
-44 ≥ -6x
Divide both sides by -6:
44/6 ≤ x
(Inequality flipped because you divide by a negative)
Simplify:
22/3 ≤ x
Flip the inequality:
x ≥ 22/3
5) Multiply both sides by 4:
3x - x/3 = 7/2
Multiply both sides by 3:
9x - x = 21/2
Combine like terms:
8x = 21/2
Divide both sides by 8:
x = 21/16
or
x = 1.3125
6) Combine like terms:
7x + 6 = 90
Subtract 6 from both sides:
7x = 84
Divide both sides by 7:
x = 12
Hope this helps!