Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
Take the square root of each side
sqrt(x^2) = sqrt(147)
x = sqrt(147)
<h3>Answer:</h3>
y=-5x-2
<h3>Solution:</h3>
- We are given the line's slope and a point that it passes through.
- Using the given information, we can write the equation of the line in Point-Slope Form:
- In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
- In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
- Plug in the values:
- y-(-12)=-5(x-2)
- y+12=-5(x-2)
- Now, convert into Slope-Intercept Form, y=mx+b:
- y+12=-5x+10
- y=-5x+10-12
- y=-5x-2
Hope it helps.
Do comment if you have any query.
We are given the ratio of 1/2 inch: 18 miles
Multiply both sides of the ratio by 2. I'm doing this so that the "1/2" turns into "1"
So we go from this ratio
1/2 inch: 18 miles
to this ratio
1 inch: 36 miles
which means that every inch on paper represents 36 miles in real life
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The question is now: if two towns are 2.5 inches apart on paper, then how far are they in real life? (note: 2.5 is the decimal form of 2 and a half)
To find out, multiply both sides by 2.5
1 inch: 36 miles
2.5*(1 inch): 2.5*(36 miles)
2.5 inches: 90 miles
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Answer: The two towns are 90 miles apart in real life
Step-by-step explanation:
The angle 2 and 3 are in vertically opposite sides. So, they are vertically opposite angles.
Hence, second option is correct.
