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3 years ago

Two pieces of lengths 13/3 m and 3/5 m are cut off from a rope 15

1 answer:

5 0

Hello there! ;) The way you solve this type of problem is you must find common denominators. So simplify 13/3= 4 1/3. So we can do 1/3*5/5=5/15. Next we must do 3/5*3/3= 9/15. So add 5/15+9/15= 14/15. And add the 4+ 14/15= 4 14/15. So then you must subtract 15 - 4 14/15= 10 1/15 I believe. I believe 10 1/15 is the remainder of the rope. You might want to check in with someone else though.

Hope I help! :D

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What is the slope of the line represented by the equation 4x 5y = 10?

Tresset [83]

Im not sure how to do it because you don't have a plus or minus sign. add that and then i will show you.

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3 years ago

the volume of a sandbox shaped like a rectangular prism is 48 ft3. the height of the sandbox is 2 feet, the width is w feet and

Effectus [21]

Lwh=v
2*w*(w+2)=48
2w^2+4w=48
w^2+2w-24=0
(w+6)(w-4)=0
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Since w cannot be negative, then w=4.

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3 years ago

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function:

Maslowich

Answer:

Part 1) The vertex is the point (1,-9)

Part 2) The equation of the axis of symmetry is x=1

Part 3) The y-intercept is the point (0,-8)

Part 4) The x-intercepts are (-2,0) and (4,0)

Part 5) The graph in the attached figure

Step-by-step explanation:

we have

$h(x)=(x-1)^2-9$

This is a vertical parabola open upward

The vertex represent a minimum

Part 1) Find the vertex

The quadratic equation is written in vertex form

$y=a(x-h)^2+k$

where

(h,k) is the vertex of the parabola

The vertex is the point (1,-9)

Part 2) Find the axis of symmetry

The equation of the axis of symmetry of a vertical parabola is equal the the x-coordinate of the vertex

The equation of the axis of symmetry is

$x=1$

Part 3) Find the y-intercept

we know that

The y-intercept is the value of the function when the value of x is equal to zero

For x=0

$h(x)=(0-1)^2-9$

$h(0)=-8$

therefore

The y-intercept is the point (0,-8)

Part 4) Find the x-intercepts

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

For h(x)=0

$(x-1)^2-9=0$

solve for x

$(x-1)^2=9$

square root both sides

$x-1=\pm3$

$x=1\pm3$

$x=1+3=4\\x=1-3=-2$

therefore

The x-intercepts are (-2,0) and (4,0)

Part 5) Plot the graph of the quadratic function

Plot the following points to graph the function

vertex (1,-9)

axis of symmetry x=1

y-intercept (0,-8)

x-intercepts (-2,0) and (4,0)

The graph in the attached figure

4 0

3 years ago

Read 2 more answers

Eleana and her grandfather both had birthdays last week.

Galina-37 [17]

Answer:

Eleana is 20 years old.

Her grandfather is 80 years old.

Step-by-step explanation:

Suppose Eleana's age is "x". That means her grandfathers age is 4x.

x+4x= 100

5x=100 Divide both sides by 5

x=20 That means Eleana is 20 years old.

Her grandfather would be 4 times her age so his age would be 40 years old.

5 0

3 years ago

Which expression represents ¨the product of a number and 6¨?

jok3333 [9.3K]

Answer:

$n*6$

Step-by-step explanation:

A number being n and the product meaning multiplication.

5 0

2 years ago