Divide miles ran by speed to get time:
2 miles / 8 miles per hour = 0.25 hours = 15 minutes.
2 miles / 6 miles per hour = 0.33 hours = 20 minutes.
20 minutes - 15 minutes = 5 minutes longer.
Answer:
Step-by-step explanation:
Angles <em>B</em><em> </em>and<em> </em><em>C</em><em> </em>form a straight angle, so you set both expressions equal to 180°:
180° = (2x + 15)° + x°
180° = 15° + [3x]°
- 15° - 15°
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This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
To solve this, you will have to set up your equation as fractions:
X is to 4 as 4 is to 4+3, or 7
X/4 = 4/7
You will then cross multiply
7x = 4•4
7x = 16
Divide.
X = 2.285714...
Round to the nearest hundredth.
2.29
Answer:
Translation and a rotation 90 degrees
Step-by-step explanation:
