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Find the perimeter of a trapezoid with vertices located at L(1,4), M(-2,0), N(7,0), and Q(3,4).

Hello Guest!

\(P=\sqrt{y_L^2+(x_L-x_M)^2}+x_Q-x_L\\ \ +\sqrt{y_Q^2+(x_N-x_Q)^2}+x_N-x_M\\\)

\(P=\sqrt{4^2+(1-(-2))^2}+3-1\\ \ +\sqrt{4^2+(7-3)^2}+7-(-2)\\\)

\(P=5+2+\sqrt{32}+9=\color{blue}21.65685\)

The perimeter of the trapezoid is 21.66.

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The clock formula tells us that the angle is 94 degrees.

Set the cost of 1 curry puff X, So the cost of

1 apple pie 2X, and the total money he

paid y

So given the question, we can kniw

6X + 13 * 2X = 1/3y

13.2X+3/4*2/3y=92.50

So X=1.25 , 2X=2.5

So Nate pay $2.5 for 1 apple pie

2. The smallest possible degree of f(x) + b*g(x) is 4.

3. The sum of the coefficients of f is 32 - 47 = -15.

This term would be

C(2,1)*(3x)^1 *(2y + 1)^1  =

2(3x)(2y + 1) =

6x(2y + 1) =

12xy + 6x

So....the coefficient is 12

Good observation, dmgp.  I hadn't thought of visualing it that way. 

Since the question asked for the ratio of the radius to the edge,

the ratio would be 1 to 2 because the radius is half the diameter.  

_.

26-7=19

say x=the starting amount of cards. then 4/11*x+9=7/11*x moving things around makes 3/11*x=9 times 11 3x=99 divide 3 x=33

228/6=48 then 6/1=228/48 then 48+72=120 

25  x  10 ==250 sum of all girls'ages.

New girl's age ==12 4/12==12 1/3 years.

250  +  12 1/3 ==262 1/3 - sum of the 26 girls' ages.

[262 1/3] / 26 ==10.1 - years - new average of the 26 girls.

The length A'B' is 3.

The inequality is 4x - 3y + 2 > 0.

The leading coeffiicent of f(x) is 4.

The coefficient of xy is -4.

Tom can take 18 different groups.

The sum of all possible values of k is 2/3.

Angle C = 42 degrees.

If you draw it, the diameter of the sphere is equal to the edge of the cube.

A line containing the points P2(2,16) and P1(-8,14) intersects the y-axis at what point?

Hello Guest!

The function equation is

\(f(x)=\frac{16-14}{2-(-8)}\cdot (x-(-8))+14\\ f(0)=\frac{16-14}{2-(-8)}\cdot (0-(-8))+14\\ \color{blue}f(0)=15.6\)

The ordinate axis is intersected at the point (0, 15.6).

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Here is the response copied on previous post.

Hi Svtturtles!

We can solve this problem using a system of equations. 

Let p = the number of pineapple bags and a = the number of apricot bags. 

9p + 6a = 39. 

p + a = 5.  

Solving gives p = 3 and a = 2. 

Therefore, Sharon unpacked 3 pineapple bags and 2 apricot bags. 

I hope this helped,

Gavin. 

Hi Svtturtles!

We can solve this problem using a system of equations. 

Let p = the number of pineapple bags and a = the number of apricot bags. 

9p + 6a = 39. 

p + a = 5.  

Solving gives p = 3 and a = 2. 

Therefore, Sharon unpacked 3 pineapple bags and 2 apricot bags. 

I hope this helped,

Gavin. 

Hi guest!

We can set up some equations solving for the radius. The formula to find the lateral surface area of any right circular cylinder is 2πrh and the formula to find the volume of any right circular cylinder is πr²h. Therefore, we can write 2πrh = 3 and πr²h = 3. Since we are only solving for r, we can set the equations equal and write 2πrh = πr²h. This simplifies to r = 2.  

I hope this helped,

Gavin. 

why didn't you type done?