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OverLord2011 [107]
3 years ago
11

What is the slope of the line that passes through the points (3, 6)(3,6) and (1, 2) ?(1,2)

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

Using the slope theorem:

m=\frac{y_{1}-y_{0}}{x_{1}-x_{0}}

\frac{6-2}{1-3}  = \frac{4}{-2} =-2

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Is 226.08cm to the third power the correct response?
drek231 [11]
Surface Area of a cylinder 2(π•r²)+(2π•r)•h

So

If the diameter is 8 then the radius is 4. the height is 5.

so you have, 2(3.14•4²)+(2•3.14•4)•5

solve. PEMDAS
Parentheses & Exponents first.
2(3.14•16)+(2•3.14•4)•5
2(50.24)+(6.28•4)•5
2(50.24)+(25.12)•5
Multiplication & Division second (left to right)
100.48+125.6
Add & Subtract (left to right)
226.08cm

5 0
3 years ago
Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

8 0
1 year ago
The differential equation dy dx equals the quotient of the quantity x plus 1 and y minus 3
Phantasy [73]

Answer:

I only

Step-by-step explanation:

dy/dx = x + 1 / y -3

(y - 3)dy = (x + 1) dx

integrate

1/2y^2 - 3x = 1/2x^2 + x

1/2y^2 = 1/2x^2 + 4x

y^2 = x^2 + 8x

y = (x^2 + 8x)^1/2

3 0
2 years ago
if grant drove his car for 417 miles on 15 gallons of gas. how many miles per gallon does grants car get?
lara [203]

Answer:

27.8 per mile.

Step-by-step explanation:

417 divided by 15 equals 27.8 miles per gallon

miles/ gallon

/ = per

so

417/ 15

27.8 gallons

3 0
2 years ago
Read 2 more answers
Can Someone Help Me Please. ?
asambeis [7]

Answer:

The answer is the third option from the top:

0, 0, 11, 15, 26, 32, 45, 46, 46, 46, 60, 71, 84, 88

7 0
2 years ago
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