An isosceles trapezoid has vertices at (-2, 1), (2, 1), (5, -1) and (-5, -1). find the measure of each diagonal

Answer: D

Step-by-step explanation:

[tex]3x^2-x+2=0[/tex]

[tex]\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2}}{2\cdot \:3}[/tex] [tex]\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2} =\sqrt{1-24} =\sqrt{-23} =\sqrt{-1}\sqrt{23} =\sqrt{23}i[/tex]

[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{23}i}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-1\right)+\sqrt{23}i}{2\cdot \:3},\:x_2=\frac{-\left(-1\right)-\sqrt{23}i}{2\cdot \:3}[/tex]

[tex]x_1=\frac{1+\sqrt{23}i}{6},\:x_2=\frac{1-\sqrt{23}i}{6}[/tex]

Answer:

yes its 24/3 but reproduce is 1/8

Step-by-step explanation:

Answer:

8/27

Step-by-step explanation:

It says to use V=s^3.

s is the the side length of the cube which is 2/3 in this case.
So to get your answer you have to do: (2/3)^3 or 2/3 x 2/3 x 2/3.

Answer:

Below in bold.

Step-by-step explanation:

The area of each triangle = 1/2 * height * base

As it is a right triangle the height is equal to one of its sides, so

Area of 1 triangle = 1/2 * 6 * 5

= 15 cm^2

Area of mosaic = 150 * 15

= 2250cm^2.

Answer:

Dimensions of rectangle = 23 cm x 5 cm

Step-by-step explanation:

Equations we can form

⇒ 2L + 2W = 56

⇒ L + W = 28

⇒ L = 3W + 8

Substitute in previous equation

⇒ 3W + 8 + W = 28

⇒ 4W = 20

⇒ W = 5 cm

⇒ L = 28 - 5 = 23 cm

Increased concentration is the answer as drug impairs our ability to control ourselves.

Hope it helps!

Impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.

A significant deterioration in one or more domains of conscious mental activity, such as language, learning, and memory, that interferes with everyday function and independence are some of the traits of impairment of brain.

Thus, as we see, first three options are showing acts of impaired brain but the fourth option contradicts, as impairment from drug use isn't going to increase concentration and if it somehow does, then it isn't impairment.

Thus, impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.

Learn more about impaired brain function here:

https://brainly.com/question/7451329

Answer: no solution

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

Answer:

the first one

Step-by-step explanation:

The conversion of area units results in:

For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area,  each unit is 100 times larger than the previous. See below the relationship between the meter and the other units

1km²=1 000 000 m²=[tex]10^6[/tex] m²

1 hm²= 10 000 m²= [tex]10^4[/tex] m²

1 dam²=100 m²= 10² m²

1 m² =1 m²= 1 m²

1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²

1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²

Now, you have the necessary information for converting the units.

        [tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]

       [tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]

      [tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]

         [tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]

         [tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]

         [tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]

Read more about the area here:

https://brainly.com/question/3402810

All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:

3/20

Answer:

The answer is no

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 9

y = 2x + 5

For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.

First, I will substitute the first equation, for y, into the second equation:

y = 4x + 9

y = 2x + 5

4x + 9 = 2x + 5

Next, subtract 2x from both sides to isolate x:

4x + 9 = 2x + 5

-2x      -2x

2x + 9 = 5

Then, subtract 9 from both sides:

2x + 9 = 5

     - 9  - 9

2x = -4

Now, divide both sides by 2:

2x = -4

/2    /2

x = -2

Now, we find the value of y, by substituting -2 for x:

y = 2x + 5

y = 2(-2) + 5

y = -4 + 5

y = 1

(x, y) ==> (-2, 1)

Check your answer using (-2, 1):

y = 2x + 5

1 = 2(-2) + 5

1 = -4 + 5

1 = 1

This statment is correct

y = 4x + 9

1 = 4(-2) + 9

1 = -8 + 9

1 = 1

This statment is also correct

Check your answer using  (-6, -7):

y = 2x + 5

-7 = 2(-6) + 5

-7 = -12 + 5

-7 = -7

This statment is correct

y = 4x + 9

-7 = 4(-6) + 9

-7 = -24 + 9

-7 = -15

This statment is NOT correct

Therefore, no (-6,-7) is NOT a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Answer:

no

Step-by-step explanation:

Answer:

0.143 tonnes

Step-by-step explanation:

1000 / 7 = 142.857143

= 143 kg

= 0.143t

Answer:

62.5 miles per hour

Step-by-step explanation:

Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.

Hopefully this helps- let me know if you have any questions!

Answer:

n = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )

[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15

The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.

Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.

We can calculate the kinetic energy of the Kingda Ka roller in the following way:

K.E = Potential Energy

K.E = mgh

Where: m = mass = 9750

g = acceleration due to gravity = 9.8m/s²

h = height = 139m

Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J

= 13.3megajoules.

Learn more about kinetic energy on https://brainly.com/question/25959744

Answer:

10x+20y= 350

Step-by-step explanation:

Add the decimal. 3.50

Let's assume that all the coins are 10-cent coins.

The total value would be 10 x 40 = 400 cents = $4

So, it would be $2.5 less than the actual total value,

We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.

Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)

-> There are 25 20-cent coins and 15 10-cent coins

Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5

Answer:

{x,y} = {7,-5}

Step-by-step explanation:

Solve equation [2] for the variable  y

  [2]    10y = -7x - 1

[2]    y = -7x/10 - 1/10

Plug this in for variable  y  in equation [1]

  [1]    5x + 9•(-7x/10-1/10) = -10

  [1]    -13x/10 = -91/10

  [1]    -13x = -91

Solve equation [1] for the variable  x

[1]    13x = 91

[1]    x = 7

By now we know this much :

x = 7

y = -7x/10-1/10

Use the  x  value to solve for  y

  y = -(7/10)(7)-1/10 = -5

Answer:

(x , y) = (7 , -5)

Step-by-step explanation:

{x, y} = {7, -5}

System of Linear Equations entered :  

1. 5x + 9y = -10

2. 7x + 10y = -1

(Shown on graph below)

Solve equation 3 for the variable the y    

10y = -7x - 1

y = -7x/10 - 1/10

Plug this in for variable  y  in equation 1    

5x + 9•(-7x/10-1/10) = -10

-13x/10 = -91/10

 -13x = -91

Solve equation 1 for the variable  x   
 13x = 91 

  x = 7 

By now we know this much :  

  x = 7

  y = -7x/10-1/10

Use the  x  value to solve for  y    

 y = -(7/10)(7)-1/10 = -5 

Hence, (x , y) = (7 , -5)

Answer:

(.8-.4)/(2-1) =.4

SLOPE IS THE RATE OF CHANGE Answer: A

Step-by-step explanation:

The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.

Area of a Rectangle = base x height

Area of a Triangle = 1/2 x base x height

Base rectangle = 24 x 12 = 288

Rectangles that come to a point = 2(12 x 13) = 2(156) = 312

---There are two rectangles, which is why I multiplied the area by 2.

Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120

Surface Area = sum of all the areas of the faces

Surface Area = 288 + 312 + 120 = 720 in^2

Answer = 720 in^2

Hope this helps!

Answer:

The answer is t < -3

Step-by-step explanation:

t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3

Answer:

240 :)

Step-by-step explanation:

400 x 0.60 = 240

Have a great day!

Please rate and mark brainliest!!

Answer:

240

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2.  To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16

Answer:

13 is 41.9 percent of 31

13/31*100=41.9

Answer:

[tex]x = 180 - (37 + 53)[/tex]

is the answer

The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.

The question is incomplete, as the needed parameters to answer the question are missing.

So, I will list the normal conditions for constructing the confidence interval

The condition for constructing the confidence interval include:

Read more about confidence interval at:

https://brainly.com/question/15712887

Answer:

The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.

Given:

Sides of length,
[tex]s = 230m[/tex]
Height,

[tex]h = 146.7m[/tex]
According to the formula,
The Volume (V) will be:
[tex]= \frac{1}{3} s^{2} h[/tex]
By substituting the values, we get
[tex]= \frac{1}{3} (230)^{2} * 146.7[/tex]
[tex]= \frac{1}{3} *520900 *146.7[/tex]
[tex]=\frac{1}{3} * 7760430[/tex]
[tex]= \frac{7760430}{3}[/tex]
[tex]= 2586810m^{3}[/tex]
Thus the above is the correct solution.

Learn more about the volume of pyramid here:
brainly.com/question/15923072

Answer:

yes ikr

Step-by-step explanation:

yes ikr

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yes ikr

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yes ikr

yes ikr

yes ikr

sum of interior angle =n-2(180)

n is the number angles

5-2(180)

3(180)

=540

x=102+116+123+88=429

540-429=111

x=111

Answer:

11.) 105 degrees

12.) 50 degrees

13.) 55 degrees

Step-by-step explanation:

11.) <EFG is a straight angle (180 degrees) so 180-75=105

12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees

13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees

Answer:

the slop is 1

Step-by-step explanation:

hop that help