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torisob [31]
4 years ago
13

Find the slope of this chart

Mathematics
1 answer:
omeli [17]4 years ago
5 0

Answer:

slope of 1/4, y = 1/4 * x

Step-by-step explanation:

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Need help to do this step by step please <br> 3x2 - 2x=-1
sdas [7]

Answer:

Solving the expression 3x^2-2x=-1 we get: \mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}

Step-by-step explanation:

We need to solve the expression: 3x^2-2x=-1

This is a quadratic expression and it can be solved using quadratic formula

Solving:

3x^2-2x=-1\\

we can write it as:

3x^2-2x+1=0

The quadratic formula is: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

where a = 3, b = -2 and c= 1

Putting values and solving:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2}   \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}

So, solving the expression 3x^2-2x=-1 we get: \mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}

8 0
3 years ago
Find an equation for the line with slope m through the point (a,c).
lidiya [134]
If you want the answer in point slope form then,

y-y1 = m(x-x1)
y-c = m(x-a)

---------------------------------------

If you want the answer in slope intercept form, then solve for y

y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)

For this answer in slope intercept form the slope is m and the y intercept is c-ma

---------------------------------------

If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.

y = mx+c-ma
y-mx = mx+c-ma-mx
-mx+y = c-ma

Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.

4 0
3 years ago
Which of these transformations appear to be a rigid motion? <br> Please help me!!!!!
Alenkasestr [34]

The answer is the third answer choice, I and II only.


This is because both of those motions are rigid since they are just reflections and III is not a rigid motion since it is a dilation, the second triangle is bigger than the first.


Hope this helps!

7 0
3 years ago
Read 2 more answers
If 2 gallons of paint are needed to paint 3,000
IgorLugansk [536]

Answer:10 gallons are needed to paint 15,000 square feet of wall.

Step-by-step explanation:

3,000/2=1,500

15,000/1,500=10 gallons

6 0
3 years ago
Take a look at the picture below and follow the rules using the STRATEGY, you need to draw the strategy to get the answer. brain
Aliun [14]

I would say (I am abbreviating square root to sqrt)

1. 4 sqrt(8488) = 4 sqrt(2x2x2122) = 8 sqrt(2122)

2. 3 sqrt(6936) = 3 sqrt(6x34x34) = 102 sqrt (6)

3. 2 sqrt(8648) = 2 sqrt(2x2x2162) = 4 sqrt(2162)

3 0
3 years ago
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