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Sindrei [870]
3 years ago
13

Find the y intercept and slope

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0
Okay so first off the equation of a line is
Y=mx+b
m= the slope
b= the y intercept

The Y intercept of this line is 2 and the slope is 5/3! You know this is the slope because if you start at point a and go up 5 and to the right 3, you end up at point b.

The equation for this line would be y=5/3x+2
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A rancher is ordering a box of cube-shaped salt licks. the edge length of each salt lick are 5/12 foot. is the volume of one sal
strojnjashka [21]

Answer:

0.0723 cubic feet < 1 cubic foot.

Step-by-step explanation:

A cube-shaped salt lick is ordered by a rancher and the length of each salt lick is \frac{5}{12} foot.

Therefore, the side length of each salt lick of cube-shape is \frac{5}{12} foot.

So, the volume of each salt lick is (\frac{5}{12} \times \frac{5}{12} \times \frac{5}{12}) = \frac{125}{1728} = 0.0723 cubic feet.

Hence, this volume is less than 1 cubic foot. (Answer)

5 0
3 years ago
I REALLY NEED HELP PLEASE!!  
disa [49]


part A)

\bf \begin{array}{ccllll}&#10;hours(x)&velocity(y)\\&#10;-----&-----\\&#10;1&6\\&#10;3&2&#10;\end{array}\\\\&#10;-------------------------------\\\\


\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 1}}\quad ,&{{ 6}})\quad &#10;%   (c,d)&#10;&({{ 3}}\quad ,&{{ 2}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-6}{3-1}\implies \cfrac{-4}{2}\implies -2

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-6=-2(x-1)\\&#10;\left. \qquad   \right. \uparrow\\&#10;\textit{point-slope form}&#10;\\\\\\&#10;y-6=-2x+2\implies y=-2x+2+6\implies \boxed{y=-2x+8}

part B)

well, we know y = -2x+8.... so.. what's the runner's velocity after 5hours? well, x = 5, thus y = -2(5) +8 ---> y = -2

to graph it, well, is a LINEar equation, meaning the graph is a LINE, and to graph a line, all you need is two points, and by now, you have more than two.. so graph it away.
7 0
3 years ago
Help me with these questions plz
UkoKoshka [18]
First, this shoudnt be in mathematics and second, i think this is socila studies.
4 0
3 years ago
Find the area of the equilateral triangle.if its perimeter is 24cm​
mezya [45]

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

7 0
3 years ago
In the following activity, match each pair of equivalent expressions.
Vilka [71]

Answer:

1. -8+3x

2. 51x-2+4x2 (squared)

3. 66x +324

4. 6x+2

5.  13 +13x

Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

8 0
3 years ago
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