Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
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4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (6,8) and solve for b
Subtract 24 from both sides to isolate b
Therefore, the y-intercept of the line is -16. Plug this back into :
I hope this helps!
Hey there!
A perpendicular line's slope to another line is always the negative reciprocal of slope.
If our line has a slope of two, we first must find the reciprocal, which is 1/2. Then, we put a negative on it.
Therefore, our equation is y=-1/2x+b.
I hope that this helps! Have a great day!
Answer:
48.1 m³ available, 2.5m³ not available
Step-by-step explanation:
Tan(X) = 4.5/(5.8+1.7)
Tan X = 3/5
Hypotenuse² = 3² + 5² = 34
Sin X = 3/sqrt(34)
X = 30.96
1/sinX = 1.7/SinY
Y = 61.003°
Third angle: 180 - X - Y = 88.037
Volume
= ½ × 1.7 × 1 × sin(88.038) × 3
= .
= 2.548
= 2.5m³
Available for storage:
½×4.5×7.5×3 - 2.548
= 48.077 = 48.1 m³
If you times 39.99 by 0.20 (20%) then you get your answer of $7.99
Answer:
Total boxes= 75
Step-by-step explanation:
Giving the following information:
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.
<u>First, we need to determine the number of bats that fits into a box:</u>
Bats per box= 24,000 / 50
Barts per box= 480
<u>Now, the number of boxes for 36,000 bats:</u>
Total boxes= total bats / bats per box
Total boxes= 36,000/480
Total boxes= 75
