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Llana [10]
3 years ago
6

Find the slope of the line that passes through the points (4, 3) and (2, 7).

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer: -2/1

Step-by-step explanation:

Slope = Change in y/Change in x

Equation:

(7-3)/(2-4)

Evaluate:

4/-2

Simplify:

-2/1

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Write an equation in point-slope for, for the line through the given spot (4, -6); m = 3/5
oee [108]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (4, -6) and the slope m = 3/5. Substitute:

y-(-6)=\dfrac{3}{5}(x-4)\\\\\boxed{y+6=\dfrac{3}{5}(x-4)}

3 0
3 years ago
The table shows how the number of sit-ups marla does each day has changed over time. at this rate how many sit-ups will she do o
DENIUS [597]
The number of situps form an AP with first term (a) = 17 and common difference (d) = 4

Tn = a + (n - 1)d
T12 = 17 + (12 - 1) x 4 = 17 + 11(4) = 17 + 44 = 61

Therefore, she will do 61 situps on day 12.
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3 years ago
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Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
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Hello! In order to understand this question, we need to take a look at the content that is involved.

Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.
8 0
3 years ago
What is 5/6 divided by 1/7?
skelet666 [1.2K]

Answer:

5\frac{5}{6}

Step-by-step explanation:

To divide fractions, we multiply the first fraction by the <u>reciprocal </u>of the second fraction. (Seven over one)

\frac{5*7}{6*1} =\frac{35}{6}

Now, we convert the fraction into a mixed fraction.

\frac{35}{6}=5\frac{5}{6}

<em>The quotient of 5/6 and 1/7 is 5 5/6</em>

8 0
3 years ago
Show all work to identify the asymptotes and zero of the function f of x equals 5 x over quantity x squared minus 25.
Lorico [155]

Answer:

  • asymptotes: x = -5, x = 5
  • zero: x = 0

Step-by-step explanation:

The function of interest is ...

  f(x)=\dfrac{5x}{x^2-25}=\dfrac{5x}{(x-5)(x+5)}

The asymptotes are found where the denominator is zero. It will be zero when either factor is zero, so at x = 5 and x = -5

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The zeros are found where the numerator is zero. It will be zero for x = 0.

The asymptotes are x=-5, x=5; the zero is x=0.

4 0
3 years ago
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