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umka2103 [35]
3 years ago
5

William has a lemonade stand. Today he made $17.55 in lemonade sales and one third that amount in cookie sales. How much money d

id William make altogether?
Mathematics
1 answer:
ira [324]3 years ago
4 0
All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40
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Simplify 7j-6k-5j+4k which explanation please:)
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Step 1. <span>Gather like terms

</span>(7j-5j)+(-6k+4k)
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Step 2. </span><span>Simplify

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What is the value of the function at x=−2? <br> y=−2 <br> y = 0 <br> y = 2 <br> y = 3
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Answer:

3

Step-by-step explanation:

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Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt
Leni [432]
Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = \sqrt{Δx^2+Δy^2}
d₁ = \sqrt{(-2-1)^2+(1-4)^2}
d₂ = \sqrt{(x-1)^2+(y-4)^2}
d₁ = d₂
∴ \sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2} ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
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from equatoin (1)  y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = \pm \sqrt{9} = \pm 3
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1)  or  (-2,7)












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3 years ago
On a certain marathon course, a runner reaches a big hill that is at least 10 miles into the race. If a total marathon is 26.2 m
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