Answer:
The equation of the line is 5x + y + 19 = 0
Step-by-step explanation:
The equation of the line with slope 'm' and given a point (x₁, y₁) passing through it we use the Slope - one - point form which is given by:
y - y₁ = m(x - x₁)
The point given is: (-3, -4) and the slope is -5.
We get the equation of the line to be:
y - (-4) = -5(x - (-3))
⇒ y + 4 = -5(x + 3)
⇒ y + 4 = -5x - 15
⇒ 5x + y + 19 = 0. is the required equation of the line.
The answer would be 1.40. The 3 significant figure are 1.39 and it wants us to round so we look at the 8 in 1.3981 and since 8 > 5 we know to round up.
Answer:
$42.5
Step-by-step explanation:
Find how much is 15% of 50 first
(15/100)×50=$7.5
$7.5 is the amount that will be discounted so
$50(original price)-$7.5(discount)=$42.5
Use the Pythagorean Theorem
6 feet and 14 feet are the "legs" and the ladder length is the hypotenuse.
hypotenuse^2 = 6^2 + 14^2
hypotenuse^2 = 36 + 196
hypotenuse^2 = 232
<span><span><span>hypotenuse = 15.2315462117
</span>
ladder length = 15 feet
Source:
http://www.1728.org/pythgorn.htm
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Answer
222
Step-by-step explanation:
I hope this is correct but what you do is first divide this shape into three parts. A small rectangle, a bigger one, and then the triangle. With the triangle on the left, you can see that the width is 5 and the length is 9. You multiply those to get 45. With the rectangle in the middle, you can see that the width is 6. So for the length, you take the 8 and add it to the 9 to get 17. So you do 17 x 6 to get 102. And for the triangle, you see that the length is 15. For the width, it would be 5 because the triangle takes one extra cubit off of the rectangle. Finally, you add 45, 102, and 75 to get 222. Hope this helps.
