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3 years ago

What is the slope of the line through (-1,8) and (3,-4) ?

Mathematics

1 answer:

Flauer [41]3 years ago

7 0

Answer:

m = −3

Step-by-step explanation:

Use the slope formula to find the slope m .

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A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:

natta225 [31]

We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(30^{\circ})=\frac{AC}{AB}$

$\text{sin}(30^{\circ})=\frac{18}{AB}$

$AB=\frac{18}{\text{sin}(30^{\circ})}$

$AB=\frac{18}{0.5}$

$AB=36$

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is $\frac{36}{2}=18$ .

Therefore, the radius of given circle would be 18 cm.

8 0

3 years ago

In the reaction 2HgO(s) --> 2Hg(l) + O2(g) we measure the evolution of gas to determine the rate of reaction. At the beginnin

djverab [1.8K]

Answer:

0.034 L/min

Step-by-step explanation:

The rate of reaction is the volume change (ΔV) divided by the time(t) and divided by the coefficient of the compound in the reaction. The coefficient of O₂ is 1, so:

R = (0.36 - 0.02)/10

R = 0.034 L/min

4 0

3 years ago

What is 8+7times15 so what is it tell me now

Inessa05 [86]

The answer is 113. As said by the calculator

5 0

3 years ago

Solve the following system of equations: 2x + 4y − 3z = −7 3x + y + 4z = −12 x + 3y + 4z = 4

lukranit [14]

2x + 4y − 3z = −7 ---> first equation

3x + y + 4z = −12 ---> second equation

x + 3y + 4z = 4 ---> third equation

We try to eliminate z and make two equations

Multiply first equation by 4 and second equation by 3. then add both equations

8x + 16y -12z = -28

9x + 3y +12z = -36

----------------------------

17x + 19y = -64 ---------------> equation 4

multiply third equation by -1 and add second and third equation

3x + y + 4z = −12

-x - 3y - 4z = -4

-------------------------------------

2x -2y = -16 ---------------> equation 5

Multiply equation 4 by 2 and equation by 19

34x + 38y = -128

38x - 38y = -304

------------------------------------

72x = -432

Divide by 72 on both sides

x = -6

use equation 2x -2y = -16 ---------------> equation 5

2(-6) - 2y = -16

-12 -2y = -16

-2y = -4

So y = 2

Now plug in 2 for y and -6 for x

Using any one of the three equations

x + 3y + 4z = 4

-6 + 3(2) +4z = 4

4z = 4 (divide by 4 on both sides)

So z=1

So x= -6, y = 2 and z= 1

4 0

3 years ago

Read 2 more answers

The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What i

nataly862011 [7]

Answer:

<em>The speed of a boat in still water is 6 miles per hour. </em>

Step-by-step explanation:

t = $\frac{20}{s-2}$ (upstream)

t = $\frac{40}{s+2}$ (downstream)

$\frac{20}{s-2}$ = $\frac{40}{s+2}$

40 ( s - 2 ) = 20 ( s + 2 )

40s - 80 = 20s + 40

20s = 120

s = 6 mi / h

<em>The speed of a boat in still water is 6 miles per hour.</em>

5 0

3 years ago