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Degger [83]
3 years ago
11

Find X, AB, BC, and AC if ABC is equilateral. X = AB = BC = AC = ​

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0
X=-7
AB=-37
BC=73
AC=-49
I pretty sure
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A gift box is 10 inches long and 6 inches wide. It is 3 inches tall. What is the volume of the box? PLEASE SHOW YOUR WORK!
ruslelena [56]

Answer:

180 in

Step-by-step explanation:

10*6*3=180

4 0
3 years ago
How would you do a,b,c,and d
I am Lyosha [343]

a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as

... c = k·s² + m·s + n

Filling in the given values gives three equations in k, m, and n.

28 = k\cdot 10^2+m\cdot 10+n\\21=k\cdot 20^2+m\cdot 20+n\\16=k\cdot 30^2+m\cdot 30+n

Subtracting each equation from the one after gives

-7=300k+10m\\-5=500k+10m

Subtracting the first of these equations from the second gives

2=200k\\\\k=\dfrac{2}{200}=0.01

Using the next previous equation, we can find m.

-5=500\cdot 0.01+10m\\\\m=\dfrac{-10}{10}=-1

Then from the first equation

[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]

There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with

... c = 0.01s² - s + 37

b) At 150 kph, the cost is predicted to be

... c = 0.01·150² -150 +37 = 112 . . . cents/km

c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.

d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.

4 0
3 years ago
Write an equation of the line that passes through each points (5,6) (3.4)
ioda

Answer:

y = x + 1.

Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through (x_{0},\, y_{0}) and (x_{1},\, y_{1}), where x_{0} \ne x_{1}, the slope of this line would be:

\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}.

The line in this question goes through (5,\, 6) and (3,\, 4). Hence, the slope of this line would be:

\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{6 - 4}{5 - 3} \\ &= 1\end{aligned}.

If a slanting line with a slope of m and goes through the point (x_{0},\, y_{0}), the equation of this line in the point-slope form would be:

y - y_{0} = m,\, (x - x_{0}).

For the line in this question, the slope is m = 1. Take (5,\, 6) as the chosen point on this line. The point-slope form equation of this line would be:

y - 6 = (x - 5).

Rewrite to obtain the equation of this line in the slope-intercept form:

y = x + 1.

7 0
3 years ago
Aaron, Bonny and Connor are playing a game with cards.
professor190 [17]

Let the number of cards Aaron has : A

Given :

⊕   Bonny has twice as many cards as Aaron

⊕   Connor has 6 cards more than Bonny

⊕   Total cards : 101

⇒  Number of cards Bonny has : 2A

⇒  Number of cards Connor has : 2A + 6

⇒   Aaron cards + Bonny cards + Connor cards = 101

⇒   A + 2A + 2A + 6 = 101

⇒   5A = 101 - 6

⇒   5A = 95

⇒   A = 19

<u>Answer</u> : Aaron has 19 Cards

6 0
3 years ago
The length of a rectangular garden is 7ft more than the width. The perimeter is 50 ft. Find the width.
Vilka [71]
<h2>Answer:</h2>

<em>W=9</em>

<h2>Step-by-step explanation:</h2>

<em>Hope this helps, here is the answer please mark Brainliest.</em>

8 0
2 years ago
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