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murzikaleks [220]
3 years ago
15

Find the value of r so that the line through (8,r) and (4,5) has a slope of -4

Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = \frac{r-5}{8-4} = \frac{r-5}{4} = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

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............................
prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

\frac{ 2^{2} x^{3} }{ y^{5} }
which simplifies to 
\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
which simplifies to 
\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}

Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
What is seven less than three times a number.
sukhopar [10]
Let’s use y as a replacement for a number. You would do 3y-7 since you multiply by three and take away seven.
3 0
3 years ago
Read 2 more answers
I don’t get none of this work so help me please
kupik [55]

yeah. I can't see none of you work so help ME please.

4 0
3 years ago
What is the solution of 6x= 15 <br>​
balandron [24]

Answer:

2.5

Step-by-step explanation:

When a variable is next to a number (coefficient) it means you need to multiply. In this equation 6x are next to eachother.

Because we don't know what x is, we have to work backwards.

The opposite of multiplying is dividing, so here we can do...

15/6  and that equals 2.5

To check you replace x with 2.5 like so,

6(2.5)= 15 and it is true!

Hope this helps and have a great day!

6 0
3 years ago
3x-8&lt;23 and -4x+26&gt;6
Papessa [141]

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

3 0
3 years ago
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