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2 years ago

What is the slope of the line that passes through the points(1,6) and (13,2)?

Mathematics

1 answer:

Aneli [31]2 years ago

4 0

Answer:

$\boxed{\sf{-\dfrac{2}{3} }}$

Step-by-step explanation:

Use a slope formula.

Slope formula:

$\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }$

y2=2

y1=6

x2=13

x1=1

Rewrite the problem.

$\sf{\dfrac{2-6}{13-1}=\dfrac{-8}{12}=\dfrac{-8\div4}{12\div4}=\dfrac{-2}{3}=\boxed{\sf{-\dfrac{2}{3}}}$

Therefore, the slope is -2/3, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

You might be interested in

Find the missing side of this right triangle. 19 X X = 16 ✓[?]

julia-pushkina [17]

Answer:

x = sqrt(105)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

16^2 + x^2 = 19^2

256 + x^2 = 361

x^2 = 361 -256

x^2 =105

Take the square root of each side

sqrt(x^2) = sqrt(105)

x = sqrt(105)

8 0

2 years ago

-(9-15)+(-8+2)-(24-30)=

AleksAgata [21]

The answer is -6
(9-15)=-6
(-8+2)=-6
(24-30)=-6
-(-6)+(-6)-(-6)= -6

3 0

2 years ago

a standard 35-mm movie projects 24 images each second. at this rate, how many images are necessary for a 1.5 hour movie ?

yuradex [85]

129,600. 60 seconds in a minute, 60 minutes in an hour 60x60=3600, so 3600 seconds=1 hour. 1800 seconds = half hour. 3600 + 1800 = 5400 seconds in 1.5 hours. 5400 x 24 = 129,600. Hence, 129,000 images are necessary for a 1.5 hour movie.

Hope this helps!
Have a nice day :)
-fart2fart

3 0

2 years ago

Given: ABCD is a ∥-gram, BF ⊥ CD , BE ⊥ AD, Prove: △ABE∼△CBF

drek231 [11]

Answer:

Hence proved △ABE∼△CBF.

Step-by-step explanation:

Given,

ABCD is a parallelogram.

BF ⊥ CD and

BE ⊥ AD

To Prove : △ABE∼△CBF

We have drawn the diagram for your reference.

Proof:

Since ABCD is a parallelogram,

So according to the property of parallelogram opposite angles are equal in measure.

$\therefore m\angle A = m\angle B$ ⇒1

And given that BF ⊥ CD and BE ⊥ AD.

So we can say that;

$m\angle F=m\angle E=90\°$ ⇒2

Now In △ABE and △CBF

∠A = ∠C (from 1)

∠E = ∠F (from 2)

So by A.A. similarity postulate;

△ABE∼△CBF

7 0

2 years ago

Milk is a good source of many vitamins that can help us stay healthy. FDA recommends that the average vitamin A concentration fo

Lelechka [254]

Answer:

The degrees of freedom for this sample are 27.

The sample size to get a margin of error equal or less than 0.3656 is n=4450.

Step-by-step explanation:

The degrees of freedom for calculating the value of t are:

$df=n-1=28-1=27$

With 27 degrees of freedom and 95% confidence level, from a table we can get that the t-value is t=2.052.

The sample size to get a margin of error equal or less than 0.3656 can be calculated as:

$MOE=t\cdot s/\sqrt{n}\\\\n=\left(\dfrac{t\cdot s}{MOE}\right)^2=\left(\dfrac{2.052\cdot 11.8841}{0.3656}\right)^2=66.7^2\\\\\\n=4449.13\approx4450$

6 0

2 years ago