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VARVARA [1.3K]
2 years ago
6

What is the slope of the line that goes through the points (-4,2) and (8,5)?

Mathematics
1 answer:
trapecia [35]2 years ago
4 0

Hello,

y = ax + b where a is the slope

We have A(-4 ; 2) and B(8 ; 5)

a =  \frac{yb - ya}{xb - xa}  =  \frac{5 - ( - 4)}{8 - 2}  =  \frac{9}{6}  =  \frac{3 \times 3}{3 \times 2}  =  \frac{3}{2}

→ Slope : 3/2

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A water molecule is made up of 3 atoms. One third of the atoms are oxygen and the remaining atoms are hydrogen. If there are 114
Mashcka [7]

Answer:

228 hydrogen atoms

Step-by-step explanation:

In a water molecule,

1/3rd is oxygen atoms, and

2/3rd (1 - 1/3 = 2/3) is hydrogen atoms

If there are 114 water molecules,

Total number of atoms would be:

3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)

Out of these, 2/3rd would be hydrogen atoms, so:

\frac{2}{3}*342=228

There would be 228 hydrogen atoms

7 0
4 years ago
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr
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Answer:

AREA OF TRAINGLE =18

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18 1/2 6 (H+1)

6=H+1

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7 0
3 years ago
Please answer right away
Ilya [14]

Answer:

6.13

Step-by-step explanation:

Using Sine Law we know that

\dfrac{a}{SinA}=\dfrac{b}{SinB}=\dfrac{c}{SinC}

Using your figure let's assign sides and angles:

A=? B = 60° C = 70°

a = 5 b = ? c = x

If we put that into our formula:

\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?

Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°

∠A + ∠B + ∠C= 180°

∠A + 60° + 70° = 180°

∠A + 130° = 180°

∠A = 180° - 130°

∠A = 50°

Now we can use this to solve for x.

\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x

So the closest answer would be 6.13

5 0
4 years ago
Read 2 more answers
You start at (2, -1). You move right 3 units and up 4 units.<br> Where do you end?
vovangra [49]

Answer:

(5,3)

Step-by-step explanation:

7 0
3 years ago
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Determine the slope of the line that passes through each pair of points. A(2, 3), B(1, 5)
Tema [17]

Answer:

The slope is 2

Step-by-step explanation:

The formula to find slope is y2-y1/x2-x1

Plug in the numbers and you get: 5-3/1-2

The result of that is -2/-1 which can be simplified to 2

7 0
3 years ago
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