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VLD [36.1K]
4 years ago
15

Find the slope of the line shown on the graph at right.

Mathematics
1 answer:
Bumek [7]4 years ago
7 0

to get the slope of a line, we only need two points, notice, the grid is using 2 numbers per line, so the point on the bottom-left is (-6,0) and the one on the upper-right is (6,4), so let's use those points.


\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad
(\stackrel{x_2}{6}~,~\stackrel{y_2}{4})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-0}{6-(-6)}\implies \cfrac{4-0}{6+6}\implies \cfrac{4}{12}\implies \cfrac{1}{3}

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Find the roots 7x^2 + 46 = 32
Reika [66]

Answer:

i\sqrt{2} (or no solution if you haven't learned about imaginary numbers yet)

Step-by-step explanation:

The first thing you want to do is isolate x, or get x alone.

7x²+46=32

=> 7x²+46-46=32-46

=>7x²=-14

=>7x²÷7=-14÷7

=>x²=-2

If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.

If you have learned about imaginary numbers, read on.

Now that you have x^2=-2, you can take the square root of both sides.

x=\sqrt{-2}

Using a property about square roots (I don't know what it's called)

the equation becomes:

x=\sqrt{-1}\sqrt{2}

And since \sqrt{-1}=i, you can substitute in this value in to get x=i\sqrt{2}.

4 0
3 years ago
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3 0
3 years ago
Stacey earns money by walking dogs she walks the same route seven days a week each week she walks a total of 56 miles what is he
crimeas [40]

Answer:

8

Step-by-step explanation:

56/7 = 8

7 0
3 years ago
Read 2 more answers
I need help with math homework​
Dafna1 [17]

Answer:

1) 2.6 ft³

Step-by-step explanation:

for the first one, multiply height times width times depth divided by two, since it is a triangle. Area of a triangle is always height times width divided by two.

So

(1.3 × 1 × 4)/2 = 2.6 ft³

The second one you can see as 6 of those triangle bars glued together, can you calculate the volume then?

4 0
3 years ago
Solve for h<br> 4/5 + 3/2h = 4/3 + h
svetlana [45]

Answer:

h=16/15 or  1   1/15

Step-by-step explanation:

4/5 +3/2h = 4/3 +h

-4/3             -4/3

4/5-4/3 +3/2h = h

-3/2h                  -3/2h

4/5-4/3 =h-3/2h

convert to same denominators (left side):

12/15-20/15 = h-3/2h

-8/15 = -5/2h

h=16/15

5 0
3 years ago
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