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Dmitry_Shevchenko [17]
3 years ago
7

The points (2, 3) and (6, 11) lie on a line. What is the slope of this line?

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

8/4

Step-by-step explanation:

to do slope is y2 - y1 over x2 - x1, so it would be 11 - 3 for 8, then 6 - 2, leaving 8/4.

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2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.
kaheart [24]

Answer:

x=17

Step-by-step explanation:

2x+3y=1

y=-2-9

  • In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, y. In this case, we need to isolate y in the first equation so that both equations =y.

2x+3y=1

3y=-2x+1

\frac{3y}{3}=\frac{-2x+1}{3}

y=-\frac{2}{3}x+\frac{1}{3}

  • With this, we now know that both -2-9 and -\frac{2}{3}x+\frac{1}{3} are equal to y, so we can set them equal to each other.

y=-\frac{2}{3}x+\frac{1}{3}

y=-11

-\frac{2}{3}x+\frac{1}{3}=-11

  • Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for x.

-\frac{2}{3}x+\frac{1}{3}=-11

-\frac{2}{3}x=-11-\frac{1}{3}

-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}

-\frac{2}{3}x =-\frac{34}{3}

-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})

x=\frac{102}{6}=17

x=17

  • Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

 

4 0
3 years ago
Find the value of x, y, and z.
egoroff_w [7]

Answer:

x = 61°

y = 61°

z = 58°

Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

x + x + 58 \degree = 180 \degree \\  \\ 2x = 180 \degree - 58 \degree \\  \\ 2x = 122 \degree \\  \\ x =  \frac{122 \degree}{2}  \\  \\ x = 61\degree  \\  \\ y = 61\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\

8 0
3 years ago
What's the difference between 6z and z6
Airida [17]
Simple..

there is a major difference between 6z and z^{6}

6z means: 6 times z

and

z^{6} means: z to the power of 6(z*z*z*z*z*z)

An example...

make z=2...plug n chug..

6z----> 6(2)=12
and
z^{6}--->2^{6}=64

As you can see..there is a major difference.

Thus, your answer.
4 0
3 years ago
Please answer this math question for me
vampirchik [111]

Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

6 0
3 years ago
Read 2 more answers
Manny makes the following purchases at the store:
Anna [14]

The <em>correct answer</em> is:

He paid the correct amount.

Explanation:

First we find the subtotal of Manny's items:

32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31

Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:

0.9(117.31) = 105.579

Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:

1.08(105.579) = 114.02532 ≈ 114.03

Since this is what he paid, he paid the correct amount.

8 0
3 years ago
Read 2 more answers
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