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tangare [24]
3 years ago
9

Write an expression for “the quotient of y and 8”.

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

\huge\boxed{\frac{y}{8} }

Step-by-step explanation:

Quotient means to divide. So, the expression will be like:

=> \frac{y}{8}

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What is the center and radius of a circle whose equation is x2 + y2 -2x -6y -5 = 0?
ddd [48]

x²+y²-2x-6y-5=0

x²-2x+y²-6y=5

x²-2x+1+y²-6y+9=5+1+9

(x-1)²+(y-3)²=15

(x-1)²+(y-3)²=(V15)²

-> centre of the circle: C(-1,-3)

-> radius of the circle: V15

4 0
2 years ago
HELP ASAP 36 POINTS!!!!!
vodomira [7]

Answer:

48

Step-by-step explanation:

6 0
3 years ago
A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
4 years ago
How do you use theorems about triangles to solve problems??? ​
bazaltina [42]

9514 1404 393

Explanation:

Theorems about triangles identify relationships that can be used to formulate equations that can be used in the problem-solving process.

The idea with problem solving is to start with what you know, and make use of the relationships between that and what you don't know in order to find a solution.

8 0
3 years ago
Which function represents g(x), a reflection of f(x) = 4
mel-nik [20]

Answer: Correct answer is C -I just took the test

we have the function f(x) = 4(1/2)x, and we want to reflex it over the x-axis.

you can see in the graph that the reflex over this axis changes the sign of f(x) in all the points (where f(0) = 4, g(0) = -4, f(1) = 2, g(1) = -2, and so on), then the reflex, g(x) is equal to -f(x)

now we have:

g(x) = -f(x) = - 4(1/2)x

then the right answer is the third option:

g(x) = -4(1/2)x

Step-by-step explanation:

7 0
3 years ago
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