Mathematics College

What number should be added to both sides of the equation to complete the square? x^2-40x=0

Answers

Answer 1

Answer:

+40

Step-by-step explanation:

Answer 2

Answer:

400

Step-by-step explanation:

When completing the square, all you need to do is take half the coefficient of x, and square it.

In this case the coefficient of x is -40, and half of that is -20. -20 squared is 400, and that is what you need to add to both sides.

Note that when completing the square, you'll always be adding a positive number unless coefficient you're working with is an imaginary or complex number.

Related Questions

The decorating committee for a school
banquet decides to put flowers on each table. Each
batch of flowers will have 3 white carnations and
5 yellow carnations. The committee will need 60
white carnations. What is the total number of
white
and yellow carnations the committee will
need?
A. 20
B. 100
C. 120
D. 160

Answers

Answer:

D. 160

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

In this question:

For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:

3 white - 8 total

60 white - x total

[tex]3x = 60*8[/tex]

Dividing both sides by 3

[tex]x = 20*8 = 160[/tex]

The correct answer is given by option D.

Find the range of the data. 26, 21, 27, 33, 24, 29

Answers

Answer:

33-21=9

Step-by-step explanation:

Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?

Answers

Answer:

.42

Step-by-step explanation:

Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.

Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?

Answers

Answer: 360

Step-by-step explanation:

Well if you take 640miles and divide it by 16 gallons you get 40mpg so if you get 40mpg times that by 9 and you get 360miles

HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

Step-by-step explanation:

you would do 3+3+3 because there are 3 colors

And i just got it right on my quiz.

There will be 9 branches in the tree diagram of the situation.

What is tree diagram?

In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.

Given,

A spinner of three sections colored green, purple and pink.

Number of outcomes = 3

spinner is spun twice,

then number of outcomes = 3 × 3 = 9

Number of branches in tree = 9

Hence, 9 branches will be there in probability tree diagram.

Learn more about tree diagram here:

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Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d

Answers

The value is C because it represents the shift

Solve for x. Plzz help me

Answers

Step-by-step explanation:

The diagram resembles a right angled triangle,

So, By Pythagoras theorem,

(11)²=(4)²+x²

= 121=16+x²

= 121-16=x²

= 105=x²

= root105 =x

what the formula of a triangle?!

Answers

Answer:

A=hbb/2 hope this helps :)

Step-by-step explanation:

Area= (height x base)/2

PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!

Answers

Answer:

Mean:70.2

Median:60

Mode:85

The mode best supports her claim as it is the highest of the three.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Step-by-step explanation:

The mean is the sum of all the terms, divide by the amount of terms:

(85+85+60+62+59)/5=351/5=70.2

The median is the middle-most number in the set 85,85,60,62,59: 60

The mode is the most common number in the set 85,85,60,62,59: 85

The mode best supports her claim as it is the highest of the three.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Jin is planning to drive from City X to City Y. The scale drawing below shows the
distance between the two cities with a scale of 1/4 inch = 14 miles.

Answers

Answer:

84 miles

Step-by-step explanation:

Distance between the two cities on the drawing = 1½ in.

Scale of drawing = ¼ inches is to 14 miles

Actual distance between the two cities using proportion:

(14*1½)/¼

Actual distance = 84 miles

Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
17
250
Eighth-graders 233
Ninth-graders 240
10
250
Total
473
27
500
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.03
OB. 0.02
O C. 0.48
O D. 0.17

Answers

Answer:0.03

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?

Answers

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

To learn more on Triangles click:

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12. What type of sequence is this? *
1,-6, 36,-216, 1296,...
Arthimetic
Geometric
Neither

Answers

Answer:

The sequence is Geometric sequence

x+1/2=2 Plssssssssssssssssssssssssssssss help need anwser fast

Answers

Answer:

3/2

Step-by-step explanation:

[tex]x + \frac{1}{2} = 2 \\ x = 2 - \frac{1}{2} \\ x = \frac{3}{2} [/tex]

Can somebody solve this?

Answers

Answer:4

Step-by-step explanation:2+2=4

10x+2
To find the perimeter, you would add all of the sides up.
3x+2+3x+2+2x-1+2x-1
=10x+2

Use the circle below.
a. What appear to be the minor arcs of OL?
b. What appear to be the semicircles of OL?
c. What appear to be the major arcs of OL that contain point K?

Answers

Answer:

a. IH and JK

b. IK and HJ

c. HK

Step-by-step explanation:

IH and JK are the minor arcs because the other arcs (IJ and HK) are major arcs. They (IH and JK) are minor arcs because they are acute angle and the other arcs are Obtuse.

IK and HJ are semicircles because they are two points that is forming a line between the circle. two points that are connected, is already a semicircle.

HK is a major arc because it's central angle is obtuse.

The sine regression model uses a form that approximates the data as an algebraic representation of the graph.
Choose the sine regression model from the following:
ay=sin(x +c)+d
b. y=mx+
C. y - Ar? +BX+C
d.
-6+ 6²-4ac
2a

Answers

Answer:

The answer is A

Step-by-step explanation:

A: ay=sin(x +c)+d I got a 100 on the test

Create an exponential function that models this situation based on the time in secons in the video.

B(t)= __

Answers

Answer:

B(t) = 2*[tex]2^{t}[/tex]

Step-by-step explanation:

You have all correct choices.

We can use the given values and work out the equation:

B(t) = [tex]ab^{t}[/tex]B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2B(1) = 4 ⇒ a*b¹ = 4 ⇒ 2b = 4 ⇒ b = 2

The function for this situation is:

B(t) = 2*[tex]2^{t}[/tex]

Answer:

2(2)^t

Step-by-step explanation:

PLATO

I’ll mark as BRANLIEST!!

35 POINTS!!

- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.

Answers

1 is exponential because the numbers, when multiplied together, do not make the same numbers

2 is exponential because of an exponent being the modified variable

3 is linear because it is just multiplication which is a simple pattern

Answer:

Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.

܀ 35. Your command issued 400 tickets i
January. Twenty percent of those tickets were for speeding. How many tickets were issued for speeding in the month of January?
(A) 80
(B)70
(C) 60
(D) 90

Answers

A. Because 400x.20=80

please help me with this

Answers

Answer: [tex]30^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]

For

[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]

It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to [tex]\dfrac{\sqrt{3}}{2}[/tex]

Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]

Please help please help please help

Answers

It should be 986m

4(17x6)= 408
2(17x17)= 578

408+578=986

Solve the Following inequality by choosing the Possible range of Values that make the Statement True

x + 3 ≥ 13

Answers

Answer:

x has to be greater than or equal to 10 (x ≥ 10)

Step-by-step explanation:

x + 3 ≥ 13

x ≥ 13 - 3

x ≥ 10

What is the composition of transformations mapping ABC to A'B'C"? The first transformation is The second transformation is AABC is AA'B"C".

Answers

Answer:

The first Transition is a reflection over the line M

The second transition is a 180 degree rotation.

Step-by-step explanation:

increase 70 in ratio 3:2

Answers

i believe the answer is 105

The answer is 105 hope this helps

simplify-7(3x) + 2(3x - 2)

I'll give brainliest

Answers

Answer:

-15x-4

Step-by-step explanation:

-21x + 6x-4

-15x-4

-15x-4
Hsjskdhdbdojdbdbd

Don’t know how to solve, help ?

Answers

I believe the answer is 88 because the 120 will create a straight angle which is 180. Then you do 180-120=60. This is the measure I the left angle. Now your answer will be 88

Step-by-step explanation:

180 - 120 = 60

32 + 60 = 92

180 - 92 = 88

Find the surface area.

Answers

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4

Answers

Answer:

A, B, and D

Step-by-step explanation:

A variable could be represented as a letter.

Coefficient is the number multiplying a variable.

Product means multiplication.

Therefore the expressions that represent the product of a variable and a coefficient are:

11c, ½t, and j*4

A 30%tip on a $50 haircut.

Answers

Answer:

$15

Step-by-step explanation:

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