If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square

Answers

Answer 1

Answer:

            [tex]\bold{\dfrac{225}4}[/tex]

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]


Related Questions

Anyone please answer only have 3 min

Answers

Answer:

A

Step-by-step explanation:

Answer:a

Step-by-step explanation:

i will mark you as brainliest please help!!

Answers

Answer:

y=x

Step-by-step explanation:

y1 is -4 and x1 is -4 so I think that's the amswer

Which transformation can be used to show that LMN is similar to PQR?
A. Dilation, reflection
B. Reflection, translation
C. Rotation, dilation
D. Translation, rotation

Answers

dilation and rotation.

Explanation:
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

What is the distance between (8, -3)and (4,−7)?

Answers

Answer:

+4sqrt(2)

Step-by-step explanation:

Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise").  Applying the Pythagorean Theorem, we get:

distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)

Find the measure of x that would make m∥n.

Answers

Answer:

to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees

Find the unit rate. 13.00 for 2 books?

Answers

Answer:

= 6.5 dollars per book

Step-by-step explanation:

This is a fraction equal to

13 dollars ÷ 2 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.

Answer:

6.5 per book

divide 13 by 2

Step-by-step explanation:

The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =

Answers

Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?

Answers

Answer:

1 7/12

Step-by-step explanation:

The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12

Answer:37/12

Step-by-step explanation:

1/3+11/4=37/12

is 27/2 a rational number?
HELP!

Answers

Yes it is a rational number.

brainly wont lemme do nun

Answers

lol ur wasting ur points

Answer:

why tho bro bro

Step-by-step explanation:

why tho bro bro

here is a list of numbers.
-45 -21 -16 12 33 40

Answers

Answer:

-45, -21, -16, 12, 33, 40

Step-by-step explanation:

Answer:

Question A)

-21+12  =answer= -21 and 12

Question B)

45-16=29 =answer= -45 and -16

Question C)

The total is 3.

Thanks.

y=x-2


HELP MY RSM IS TOMORROW

Graph the lines given by the equation

Answers

Answer:

make a line going through points (2,0) and (0,-2) I put a picture.

Step-by-step explanation:

Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
Z >-3
z <5
Z <4
Iz < 4
Z > 0

Answers

Answer:

A, B, D

Step-by-step explanation:

i just did it on edge

Answer:

its true

Step-by-step explanation:

1 2 4

which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w
-0.17w + 1.77
-1.94w
-1.6w

Answers

Answer:

113.29w +1.77

Step-by-step explanation:

Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft

Answers

Answer:

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Step-by-step explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

[tex]Length = 7cm[/tex]

[tex]Width = 5cm[/tex]

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

[tex]Length = 7 * 5ft[/tex]

[tex]Length = 35ft[/tex]

[tex]Width = 5 * 5ft[/tex]

[tex]Width = 25ft[/tex]

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

[tex]Length = 7cm\\Width = 5cm[/tex]

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

[tex]Length = 7 * 8ft[/tex]

[tex]Length = 56ft[/tex]

[tex]Width = 5 * 8ft[/tex]

[tex]Width = 40ft[/tex]

So, the new measurement is 56ft by 40ft

Answer:

c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Step-by-step explanation:

What is the range of the function shown in this table? х3 4 5 6 y4 4 2 5 A. (3, 4), (4, 4), (5, 2), {6, 5{ B. {3,4,5,6} C. {3, 4} D. {2,4,5}

Answers

The answer fam is............ D. {2,4,5}

I need help on this question

Answers

Answer:

alright so after it said 4 count by 4 so 4 8 12 16 18 and until u get to 18 go by 2 i think

Determine the measure of ∠Y. images attached

Answers

Answer:

The answer is option C

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

[tex] \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...[/tex]

We have the final answer as

51.34°

Hope this helps you

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{25}{20}[/tex] , thus

∠ Y = [tex]tan^{-1}[/tex] ( [tex]\frac{25}{20}[/tex] ) ≈ 51.34° → C

Evaluate
14
P
- 4 - 2h when p=1 and h=4.

Answers

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

Which one?
A. B. C. or D?​

Answers

The answer is letter B

Answer:

B

Step-by-step explanation:

(7m+5m^3)-3m-4m^3

we simplify to get

4m+m^3 which can be rearranged

m^3+4m

What is -9 over 22 divided by -3 over 4 in fractions?

Answers

Answer: 6/11

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4

To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?

|x – 645| = 20; maximum guess: 635 beans
|x – 645| = 20; maximum guess: 665 beans
|x – 20| = 645; maximum guess: 635 beans
|x – 20| = 645; maximum guess: 665 beans

Answers

Answer:

B

Step-by-step explanation:

Just took the test on edge 2020

The maximum guess that could win is,

⇒ |x - 645| = 20; the maximum guess is 665.

Therefore, Option b is correct.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We have given the information that the jar has to be guessed within 20

So, the total has to be equal to 20.

Hence, the equation which is the required equation to calculate the minimum and maximum number of beans that will win the contest is,

|x - 645| = 20

When we will remove the modulus we will get two values + and -

So, x = 20 + 645 = 665

And x = 20 - 645 = -625

Hence, the maximum guess is 665.

Therefore, Option b is correct.

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If A = –2x + 8 and B = 2x – 4, find an expression that equals 2 A + B
in standard form.

Answers

Answer:

Answer: -2x+12

Step-by-step explanation:

So, it says the expression equals 2A + B. That means you need to multiply the equation for A by 2 and then add the equation of B to it. The question is asking you to write it in standard form. It would look like this:

2(-2x+8) + 2x-4

-4x+16+2x-4

-2x+12

1. Five times a number minus 4 is 6.

Answers

n = a number
5n - 4 = 6

Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.

PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34

PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than

the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2
Find the total distance travelled.​

Answers

Answer:

80 m

Step-by-step explanation:

From the question;

Initial velocity, u, = 20m/s

Time = 15 s

deceleration= -2.5 m/s² ------negative acceleration

The formula to apply is;

v²=u²+2as

where v is the final velocity = 0m/s and s is the total distance travelled.

Applying the formula as;

v²=u²+2as

0²=20²+ 2*-2.5*s

0=400+ -5s

0=400-5s

5s= 400

s= 400/5 = 80

s= 80 m

The total distance travelled is  80 m.

what is the value of x in the equation 3(x-2)+4x=10(x+1)​

Answers

Answer:

-16/3 =x

Step-by-step explanation:

3(x-2)+4x=10(x+1)​

Distribute

3x -6  +4x = 10x +10

Combine like terms

7x -6 = 10x+10

Subtract 7x from each side

7x-6-7x = 10x-7x +10

-6 = 3x+10

Subtract 10 from each side

-6-10 = 3x+10-10

-16 = 3x

Divide by 3

-16/3 = 3x/3

-16/3 =x

What is the value of x?



Enter your answer in the box.

Answers

Step-by-step explanation:

114° thats what i got when i calculated

explanation:

to find the total measure of degrees for any shape use the formula:

(n-2)180, where n= number of sides

there are 7 sides in this shape, so plug in 7 for n:

(7-2)180, which equals 900°

next, subtract all the angles in the shape to find x:

900 - 139 - 121 - 125 - 126 - 158 - 120 = 111

answer: x = 111°


Please help Math answers

Answers

Answer:

on example 1, both are right triangles.

HELP!!!

For which one month. What is the rate of change in rainfall amounts in Springfield the greatest?

Answers

The answer is : June & July

hope you did it!
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