What constant term should be added to both sides to complete the square on the left side?

x^2 - 3/4x + _____ = 10

Answers

Answer 1

Answer:

9/64

Step-by-step explanation:

Given

x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

The square should be in the form of:

(a + b)² = a² + 2ab + b²

We see a = x therefore

2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64

So the missing constant term is 9/64


Related Questions

HEYYYYYYYYYYY YALLLLLLLLLLLLLLLL ADDDDDDDDD MEHHHHHHHHHHHHHHHHH

Answers

Answer:

I think the answer is D  

Step-by-step explanation:

A cuz yea and that’s awnser jenehehejejdjjdjdhdbehejsud

Farmer Bob wants to build a rectangular pigpen with side lengths of 3x2+4x-1 ft and 2x2-5x+9 ft. How much fencing will he need to
O A 5x2-x+8 ft
OB. 10x2+18x+16 ft
O C. 10x2-2x+16 ft
OD. 5x2+9x+8 ft

Answers

Answer:

b

Step-by-step explanation:

Determine the future amount if ₱150,000 is deposited in a fund for 5 years at 2.5% compounded annually

Answers

Answer:

169,711.23₱

Step-by-step explanation:

compound intrest formula

p(1+r/100)^n

150,000(1+2.5/100)^5

=169,711.23₱

A prom ticket at Smith high school is $120 time is going to save money for the ticket by walking his neighbors dog for $15 per week.Tom has already saved $15 write an in equality that represents the situation.

Answers

Answer:

120 = 15x + 15

Step-by-step explanation:

what you have to do is find the amount of weeks needed to walk the dog until you get around 120. so if two weeks is equal too 30 dollars you can multiply it by that amount. 30 = 2.So 30 times what = 120 or 15 times what = 120. also dont forget that tom has saved thirty dollars in advance

The ratio of the angle measures of the triangle are 3:1:5.if the longest side of the triangle is 15ft .the shortest side of the triangle is?

Answers

Answer:

3ft

Step-by-step explanation:

get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3

Answer:

≈ 5.2 ft

Step-by-step explanation:

sum the parts of the ratio, 3 + 1 + 5 = 9 parts

Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio, then

3 parts = 3 × 20° = 60°

5 parts = 5 × 20° = 100°

The angles of the triangle are 100°, 60° and 20°

The longest side is opposite the largest angle in the triangle

The shortest side is opposite the smallest angle in the triangle.

Thus

the longest side is opposite 100°

the shortest side is opposite 20°

let x represent the shortest side and using the Sine rule

[tex]\frac{x}{sin20}[/tex] = [tex]\frac{15}{sin100}[/tex] ( cross- multiply )

x × sin100° = 15sin20° ( divide both sides by sin100° )

x = [tex]\frac{15sin20}{sin100}[/tex] ≈ 5.2 ( to the nearest tenth )

Thus the shortest side is ≈ 5.2 ft

Julie Myrick has a credit card that has an APR of 15%, applied at a daily
periodic rate to the previous balance. Her previous balance is $567,31. She made
new purchases totaling S128.92, and a payment-of $125 in the month of June.
What is her new balance?

Answers

Answer.    332.78

Step-by-step explanation:

I subtracted and as awesome its right trust me.

If the imput is -8 then what is the output of y=3x+7

Answers

Answer:

output is -17

Step-by-step explanation:

x is input, y is output. You do y = -24 + 7

then y = -17

The points (5,-2) and (9, r) lie on a line with slope 3/2. Find the missing coordinate r.

Answers

Do you have a picture its pretty confusing without a picture

Steel is an alloy of iron and carbon (98% iron, 2% carbon). Stainless steel is steel and chromium, (90% steel, 10% carbon). What amount of iron, carbon, and chromium are needed for 500 kg of stainless steel?

Answers

500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.

450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.

450 x 0.02 = 9 kg of carbon is needed for the steel.

50 kg of chromium is needed.

Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.

Total iron = 441 kg

Total carbon = 9 + 5 = 14 kg

Total chromium = 50 kg

x + 5y = 8
3x = 24 - 157

Answers

Answer:

1) x+5y=8 (that’s a basically simplified already)

2) -44 1/3

Step-by-step explanation:

1) Since its in it’s most simplified form, leave it like that.

2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable

Can someone help with this please? I think it has to do with the Pythagorean theorem.

Answers

Answer:

2 sqrt(13)

Step-by-step explanation:

We can use the Pythagorean theorem

The x value between A and B is  4 units and the y value is  6 units

The distance is

d = sqrt( x^2 + y^2)

   = sqrt( 4^2 + 6^2)

   = sqrt( 16+36)

  = sqrt(52)

  = sqrt(4*13)

 = 2 sqrt(13)

A baseball player batted 544 times in a season, with a batting average of 0.294. Using the formula below, find the number of hits he made.

The batting average formula is a=h/n where a is the batting average, h is the number of hits, and n is the number of times at bat.

Answers

Answer:

Calculate Batting Average

Calculating a baseball player's batting average is not a difficult task at all. A batting average represents the percentage of at bats that result in hits for a particular baseball player. The formula is:

Hits / At Bats = Batting Avg.

That's all there is to it. For example, if Justin Upton gets 155 hits in a season and has 554 at bats, his batting average would be 155/554, or .280. The batting average is usually represented not as a percentage (i.e. 28.0%), but instead as a decimal number with three places after the decimal. A batting average of 1.000 means that the player gets a hit every time he comes to bat, and an average of .000 means the player has no hits.

It should also be noted that not every time a batter comes to the plate counts as an at bat. Plate appearances that do not count as at bats include walks, hit-by-pitches, sacrifices, etc.

Here's one last example: Albert Pujols gets 35 hits in 113 at bats in May, so his batting average would be calculated as 35 divided by 113, which is .310 for the month of May.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

The previous answer response to this question was too long and complicated. Just follow the things you know from the question and use the formula.

a=h/n, a is the batting average, h is the number of hits, and n is the number of times at bat. Use substitution to make your formula now look like this:

0.294 = h/544.

Now you have to get h by itself. To do that, you do the opposite of division: multiply. What you do to one side, you do to the other.

544(0.294 = h/544)544 ⇒ h = 544 x 0.294.

Your result should be 159.936; round to the nearest whole number ⇒ 160.

geometry unit 4 congruent triangles

Answers

Answer:

okay?

Step-by-step explanation:

The four congruent triangles are by SAS, AAA, ASA and RHS.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The four congruent triangles are,

They can be congruent by side angle and side.

They can be congruent by angle, angle and angle.

They can be congruent by angle side angle.

They can be congruent by one of the legs and the hypotenuse of a

right-angle triangle.

learn more about congruency here :

https://brainly.com/question/7888063

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Drag the item from them item bank to its corresponding match


Will mark brainless

Answers

Answers, in order:

1. Acute

2. Congruent

3. Supplementary angles

4. Vertical angles

5. Adjacent angles

6. Adjacent supplementary angles

7. Alternate interior angles

8. Alternate exterior angles

9. Consecutive interior angles

10. Corresponding angles

11. Straight angle

Which of the following is a solution of x^2 -10x = -36?

-5 - i √10
5 + i √61
-5 - i √11
5 + i √11

Answers

X=5+or-i sqrt 11.... so both of the last two options are correct

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer:

y = 11

Step-by-step explanation:

Perimeter = 6 + 5y + y + 2 + 4y + 3

                = 10y + 11

10y + 11 = 121

10y = 121 - 11

     = 110

y = 110 ÷ 10

y = 11

Find the percent of decrease from 6 to 5.

Answers

Answer:

Use this

Step-by-step explanation:

The graph of an equation shown below: based on the graph, which of the following represents the solution to the equation? (-2, -3) (2, 1) (1, 2) (-3, -2)

Answers

The following that represents the solution of the equation are (-2,-3) and (-3,-2)

Three less than half of a number is - 1. Find the number.

Answers

Answer:

x = 4

Step-by-step explanation:

Three less than half of a number is -1

The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.

Three less than means it is minus three, therefore becomes: 1/2x-3

However, three less than half of a number is (or in other words is equal too) -1,  so the overall equation is

1/2x - 3 = -1

first, add three on both sides to get:

      1/2x = 2

multiply two on both sides to get:

     x = 4

PLEASE HELP
A faucet dripped 14 cup of water in 112 hours. What is the rate in cups per hour?

Answers

Answer:

8 cups per hour

Step-by-step explanation:

We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.

Hope that helps :D

The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A faucet dripped 14 cup of water in 112 hours.

The total sum of hours and the total amount of cups the faucet dripped.

The rate in cups per hour = 112/14

The rate in cups per hour = 8

Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ6

Suppose that Gx=f(x+11). Which statement correctly describes the graph? please hurry!

Answers

Given:

[tex]g(x)=f(x+11)[/tex]

To find:

The correct statement for the given transformation.

Solution:

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+11)[/tex]            ... (2)

On comparing (1) and (2), we get

[tex]a=11>0[/tex]

So, the graph of f(x) translated 11 units to the left.

Therefore, the correct option is A.

ABCD is a square.
Solve for x

Answers

X = 29

Hope you have a good day and good luck!

A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.

Answers

Answer:

344 feet

Step-by-step explanation:

474-130=344

A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. Use an equation in point-slope form to determine the height of the candle after 2 hours.

Answers

Answer: 8.75 is the correct answer

Step-by-step explanation:

I'm big brain.

Which of these tables represents a function?

Answers

Answer:

W

Step-by-step explanation:

The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).

Table W represents a function because each x-value has exactly only one y-value.

The other tables have two y-values assigned to a one x-value.

Answer:

W

Step-by-step explanation:

if x =20 and y =40 then x and y are

Answers

Answer:

Are directly proportional

Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%

Answers

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]

[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]

Hence,  his rate of return = 5.3%

Question in picture below will give brainly

Answers

Answer:

only student ll (2)

Step-by-step explanation:

What is the actual slope of a line with the points (-4, 9) and (3, -5)?

Answers

Answer:

slope=∆y/∆x=9+5/-4-3=14/-7=-2

Answer:

-2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2

when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.

Please help me solve this question will give you braisnlt !

Answers

Answer:

[tex]s = 54m +160[/tex]

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

[tex](m_1,s_1) = (2,268)[/tex]

[tex](m_2,s_2) = (4,376)[/tex]

Next, we determine the slope, M:

[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]

[tex]M = \frac{376 - 268}{4-2}[/tex]

[tex]M = \frac{108}{2}[/tex]

[tex]M = 54[/tex]

The equation is then calculated as:

[tex]s - s_1 = M(m - m_1)[/tex]

Where:

[tex]M = 54[/tex]

[tex](m_1,s_1) = (2,268)[/tex]

So, we have:

[tex]s - 268 = 54(m - 2)[/tex]

Open bracket

[tex]s - 268 = 54m - 108[/tex]

Collect like terms

[tex]s = 54m - 108 + 268[/tex]

[tex]s = 54m +160[/tex]

Hence, the equation is: [tex]s = 54m +160[/tex]

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