Solving this problem actually requires us the use of the
distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
So we are given the equation:
y = 2 x + 4
rewriting:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
We are also given the points:
(-4, 11) = (x, y)
Using the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 +
(1)^2]
distance = 15 / sqrt (5)
distance = 6.7
<span>So the tree is about 6.7 ft away from the zip line.</span>
<span>Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.
</span>y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 <span>it is true
proof
</span><span>for x=0 and y=10, y ≤ 40 – x equivalent to 10<40-0=40 it is true
</span>x=10, y=30, <span>y ≤ 40 – x equivalent to 30=40-10=30 it is true
the answer is </span><span>A) Yes, Chaneece found the correct solution. </span>
Answer:
Sue should buy 1.6 quart of paint.
Step-by-step explanation:
First we need to find out the area of longest wall
Area =length × breadth
Area= 10 × 8 = 80 square feet
To cover 50 square feet we have required 1 quart of paint
So for covering 1 square feet we have required 1/50 quart of paint
So for covering 80 square feet we have required ( 1×80 ) / 50 quart
= 1.6 quart of paint
1.) 8,281 people/km²
2.)
3.) 1226.88 grams
4.) 999.74 grams
5.) 6
I am not sure about number 2.
