JUST ANSWER NUMBER 10

A set of scales is used to show that two lemons and seven tomatoes are required

Darya [45]

Answer:

8 tomatoes are required to balance 1 cabbage

Step-by-step explanation:

Given :

Two lemons and seven tomatoes are required to balance one cabbage:

2 Lemons + 7 tomatoes = 1 cabbage (equation 1)

two lemons balance one tomato

2 lemons = 1 tomato

put in equation 1:

1 tomato + 7 tomatoes = 1 cabbage

8 tomatoes = 1 cabbage

8 tomatoes required to balance one cabbage

7 0

3 years ago

F (x)-x^2+6x-7 at x=2

Nitella [24]

Consider the vertex form of the parabola.y=a(x+h)2+ky=a(x+h)2+kRewrite the function in terms of xx and yy.y=x2+6x−7y=x2+6x-7Complete the square on the right side of the equation.(x+3)2−16(x+3)2-16Reorder the right side of the equation to match the vertex form of a parabola.y=(x+3)2−16y=(x+3)2-16Since 33 does not contain the variable to solve for, move it to the right side of the equation by subtracting 33 from both sides.x=−3x=-3Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk.a=1a=1h=−3h=-3k=−16k=-16Since the value of aa is positive, the parabola opens up.Opens UpFind the vertex (h,k)(h,k).(−3,−16)(-3,-16)Find pp, the distance from the vertex to the focus.1414Find the focus.(−3,−634)(-3,-634)Find the axis of symmetry by finding the line that passes through the vertex and the focus.x=−3x=-3Find the directrix.y=−654y=-654Use the properties of the parabola to analyze and graph the parabola.Direction: Opens UpVertex: (−3,−16)(-3,-16)Focus: (−3,−634)(-3,-634)Axis of Symmetry: x=−3x=-3Directrix: y=−654

I sorta shortened the steps a bit if you need me to explain any more steps I will just ask.
I am sure you probably went over some of this in your class that is why I skipped a few steps so you would at least learn a little bit hehe.

I really hope this helps you.

7 0

3 years ago

A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$