if three distinct numbers have a sum of 10 and a product of 20, what is their median

Answer:

The equation of the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the points

Determining the slope between (0, 1) and (4, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)[/tex]

[tex]m=\frac{-2-1}{4-0}[/tex]

Refine

[tex]m=-\frac{3}{4}[/tex]

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As

The point (0, 1) is given.

It means at x = 0, the vaule of y = 1

Thus, the y-intercept b = 1

now substituting m = -3/4 and b = 1 in the slope-intercept form of line equation

y = mx+b

y = -3/4x + 1

Therefore, the equation of the line is:

Answer:

(3, 2)

Step-by-step explanation:

I will solve using the elimination method

 x + y = 5

- (x - y = 1)

---------------

       2y = 4

          y = 2

plug y = 2 into any equation and solve for x

x + 2 = 5

x = 3

(3, 2)

Answer:

y=4x+3

Step-by-step explanation:

First, see where the line intercepts at the y-axis and use the y-value(which is 3). Then to find the slope(m), use the slope equation y{2}-y{1}/x{2}-x{1}.

Apply this formula to the coordinates(0,3) and (1,7):

This will then equal to

This can be simplified to:

Applying the y-intercept value 3 and the slope 4 to the equation:

Answer:

1. 2x²/y    

2. ab²×ab³×a²b

Step-by-step explanation:

1. First you multiply the exponents and then then you multiply the parentheses, spread out the equation and subtract.

2. Volume=l×w×h

(I know it sounds confusing, but it makes sense later on-hope this helps!)

Answer:

49.02 ft

Step-by-step explanation:

See the attached picture for a diagram.

Since the angle is 35 degrees and the only side length we know is the 75 ft long length of the kite (which is the hypotenuse), you would use sin(35) = x/75 where x is the side opposite of the 35 degree angle. Solve for x by doing sin(35) * 75, which equals 43.01823... Make sure you add 6ft from the height of the man. This would make the kite's total height above the ground 49.01823... Round according to the directions you've been given.

Hence , kite flies  49.01 above the ground is the kite

The angle of elevation is a widely used topic in trigonometry that deals with height and distance. It is defined as the angle formed by the horizontal plane and the oblique line connecting the observer's eye to an object above him. This angle is eventually generated above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name implies.

Given angle of elevation is 35degrees

hypotenuse=75 and perpendicular=x

Hence [tex]sin 35^{0}[/tex]=[tex]\frac{x}{75}[/tex]

[tex]sin 35^{0}*75[/tex]=x

49.01=x

Hence , kite flies  49.01 above the ground is the kite

Learn more about  elevation https://brainly.com/question/88158

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Answer:

23.5 cm

Step-by-step explanation:

Step one:

Given data

Circle A has a diameter of 6 centimeter

Circle B has a diameter of 25% greater than Circle A

Step two:

Let us find the diameter of circle B

25% of 5 is given as

=25/100*6

=0.25*6

=1.5 cm

Circle B

= 6+1.5

= 7.5 cm in diameter

radius= 7.5/2= 3.75cm

We know that

Circumference= 2πr

C= 2*3.142*3.75

C=23.5 cm

Answer:

x=7/2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

Answer:The new latitude is given by adding the 55° flown to the original latitude, which is 17° S, or -17°; this gives -17+55=38°.

Step-by-step explanation:The equator is taken as 0°, going north is positive and going south is negative. So 17° S should be taken as meaning -17°. Flying north 55° means I should add 55°. That gives the answer above.

Awnser:

explain:

hope that helps

Answer:

x = -8

Step-by-step explanation:

(4 · x) - (4 · 6) + 6 = 6x - 2

4x - 24 + 6 = 6x - 2

4x - 18 = 6x - 2

Isolate x.

4x = 6x - 2 + 18

4x = 6x + 16

4x - 6x = 16

-2x = 16

x = 16 ÷ -2

x = -8

I hope this helps! :)

Answer:

-8 =x

Step-by-step explanation:

4(x - 6) + 6 = 6x-2​

Distribute the 4

4x - 24 +6 = 6x-2

Combine like terms

4x - 18 = 6x-2

Subtract 4x from each side

4x-18-4x = 6x-2-4x

-18 = 2x-2

Add 2 to each side

-18+2 = 2x-2+2

-16 = 2x

Divide each side by 2

-16/2 =2x/2

-8 =x

Answer:

3 1/11

Step-by-step explanation:

Elleven goes into thirty three 3 times, so thats why theres a 3. 11 x 3 = 33, and we tried to get to 34. That leaves excess of 1, and we keep the denominator of 11.

Answer : V≈1017.88cm³

- know the formula:

V = πr^2h/3

- plug in

V = π(9^2)(12/3)

V = π(81)(4)

V = 324π

Answer:

60

Step-by-step explanation:

90-30 = 60

Remember, Complementary angles always = 90°

Supplementary always equals 180°

Answer:

8x+6y+(-1)

Step-by-step explanation:

3x+5x=8x  5y+y=6y  1-2=(-1)   Add it all together

Complete Question:

Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....

[tex]b_1 = [\ ][/tex]

[tex]b_n = b_{n - 1} + [\ ][/tex]

Answer:

[tex]b_1 = 12[/tex]

[tex]b_n = b_{n-1} - 2[/tex]

Step-by-step explanation:

Required

Complete:

[tex]b_1 = [\ ][/tex]

[tex]b_n = b_{n - 1} + [\ ][/tex]

From the question, the first term is 12.

So:

[tex]b_1 = 12[/tex]

Solving further:

[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]

[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]

[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]

Following the above sequence:

[tex]b_n[/tex] can then be calculated as

[tex]b_n = b_{n-1} - 2[/tex]

Answer:

y=−3/2x+29/2

y=−23/16x+225/16

Step-by-step explanation:

Answer:

Add y+x and maby that's u answer

Step-by-step explanation:

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

Answer:

yessirkyyyyyyyyyyyy

Step-by-step explanation:

the answer has the same solution, has the same solution, and does not have the same solution

Answer:

I belive its 11

Step-by-step explanation:

Answer:

The Rectangular Table Has The largest area of 1460 in^2

Step-by-step explanation:

Translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line. Rotation is when we rotate a figure a certain degree around a point.

Answer:

32

Step-by-step explanation:

4/(1/8)

Answer:

.25 as a fraction is 1/4

Answer:

For the first equation the answer for "X" will be,

[tex]x = \frac{ - 4 - y}{2} [/tex]

if you want me to solve for y instead then the answer will be,

[tex]y = - 4 - 2x[/tex]

for the second equation the answer for "X" will be,

[tex]x = \frac{1 + 3y}{5} [/tex]

If you want me to solve for y instead then the answer will be,

[tex]y = - \frac{1 - 5x}{3} [/tex]

Answer:

12 is decompose

13 is distibutive property

Step-by-step explanation:

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

12.) DECOMPOSE

13.) DISTRIBUTIVE PROPERTY

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Well first of all (most important) I should find out what the words mean to me (since the questions only show definitions) and I know that decompose means breaking down a number and DISTRIBUTIVE PROPERTY is a state and that’s what makes it really simple. Also, if we said

”To DISTRIBUTIVE PROPERTY a number means to break it into parts.” Wouldn’t sound proper. :3

HOPE I HELPED!  ∧∧

Answer:

270/45= 6

396/12= 33

560/16= 35

484/44= 11

874/46= 19

774/18= 43

Answer:

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