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amid [387]
2 years ago
11

What is the slope of the line that passes through 9,5 and 4,5

Mathematics
2 answers:
Leokris [45]2 years ago
8 0

Answer:

(5,0

Step-by-step explanation:

Vesnalui [34]2 years ago
6 0

Answer:

0

Step-by-step explanation:

slope m = (y₂ - y₁) / (x₂ - x₁)

             = (5 - 5) / (4 - 9)

             = 0 / -5

             = 0

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What does y=x+2, y=2, x=4 mean
PIT_PIT [208]

Step-by-step explanation:

Putting values of x and y

2 = 4 + 2

2 = 6

= 6-2

= 4

4 0
3 years ago
Read 2 more answers
“ it will take 1 2/3 hours” what is the 2/3 in minutes ?
Fittoniya [83]

Answer:

40 minutes

Step-by-step explanation:

2/3 x 60 = 40

8 0
3 years ago
How do u simlpify 6feet/8yards?
Julli [10]
Well, there are 3 feet in a yard. So, 3ft=1yrd. Multiply the length value by 3. You could also multiply 3 by the # of yards (or in this situation, 8) Is that good enough?
5 0
3 years ago
(2x + 7y = -24<br>18x+y=12 solve by substitution​
const2013 [10]

Answer:

x = .87, or when approximated to a fraction, 27/31

y = -3.67, or when approximated to a fraction, -1287/350

Step-by-step explanation:

Lets start by rewriting out our equations

2x + 7y = -24

18x + y = 12

Lets solve for a y value; the second equation is easiest, as the y value has no coefficient (the number that is multiplied times a variable). To do this, lets move the 18x to the other side. Now our two equations look like:

2x + 7y = -24

y = -18x + 12

Next, lets plus the second equation into the first equation in regards to y.

2x + 7(-18x + 12) = -24

Now, lets solve!

2x -126x + 84 = -24

Then, combine your terms!

-124x = -108

Divide by (-124)!

x = -108/-124

x = 27/31

Now that we know x, lets plug this back in to the first equation to find y!

2(27/31) + 7y = -24

1.74 + 7y = -24

7y = -25.74

y = -3.67, or when approximated to a fraction, -1287/350

4 0
3 years ago
When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
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