Krzysztof solved the quadratic equation $11x^2-44x-99=0$ by completing the square. In the process, he came up with the equivalent equation (x+r)^2 = s, where $r$ and $s$ are constants. What is $r+s$?

Answer:

D

Step-by-step explanation:

1/x+1

Answer:

3/10

Step-by-step explanation:

as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.

Answer:

The possibility of not drawing a black marble= 4/5

The probability of drawing a red marble = 3/10

Step-by-step explanation:

Blue marbles = 5

Black marbles = 2

Red marbles = 3

Total marbles = 5 + 2 + 3 = 10

The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5

The probability of drawing a red marble = No of red marbles/Total marbles =3/10

Answer:

(4, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² - 6x + 12 → (1)

y = 2x - 4 → (2)

Substitute y = x² - 6x + 12 into (2)

x² - 6x + 12 = 2x - 4 ( subtract 2x - 4 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (2) for corresponding value of y

y = 2(4) - 4 = 8 - 4 = 4

Solution is (4, 4 )

Answer:

$112.50

Step-by-step explanation:

150x.75=112.5

Answer:

its 112.50

Step-by-step explanation:

i got it right

Answer:

6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84

Step-by-step explanation:

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

Answer:

6(√2 - 5√3).

Step-by-step explanation:

3√2 ( 2 - 5 √6)

= 6√2 - 15√12

= 6√2 - 15√4√3

= 6√2 - 30√3

= 6(√2 - 5√3)

Answer:

Solution,

( 7m + 5)^2

Using the formula:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

and expand the expression

= ( 7m)^2 + 2 • 7m • 5 + (5)^2

Evaluate the power

= 49m^2 + 2 • 7m • 5 + 25

Calculate the product

= 49m^2 + 70m + 25

Hope this helps...

Good luck on your assignment..

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Answer: 47.1%

Step-by-step explanation:

Answer:

The answer is C.17

Step-by-step explanation:

Drink your daily water!! Have a nice day everyone :)

Answer:

8 boards.

Step-by-step explanation:

Since he bought a few of each length. The only combination that works is when he bought 5 of the 4 ft long board so 4×5=20. Than he bought 3 of the 5ft boards 3×5=15. 20+15=35 ft worth of boards.

Matt brought total 8 boards out of which the 5 boards are of 4ft and 3 boards are of 5ft.

We have a guy named Matt who bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He bought 35 ft of boards altogether.

We have to find out how many boards he bought all together.

The solution of an equation is the value at which the left hand side and right hand side of the equation equals to each other.

In the question, it is given that there are 4ft long and 5ft long boards and matt brought 35 ft of board all together.

Let us assume that the number of 4 ft boards he bought are = x and the number of 5ft boards be y, then according to question -

4x + 5y = 35

[tex]y = \frac{-4x + 35}{5} \\y=\frac{-4x}{5} + 7[/tex]

Now, all the points that lie on this line are the possible answers but the number of boards cannot be in decimal. Hence, the solution x = 5 and y=3, which will give us 4 x 5 + 5 x 3 which is equal to 35.

Hence, Matt brought 5 boards of 4ft and 3 boards of 5ft.

To solve more questions on linear equations in two variables, visit the link below -

https://brainly.com/question/22557080?referrer=searchResults

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Answer:

The first one.

Step-by-step explanation:

A linear function is a straight line, regardless of direction.

The first graph is of a linear function.

The phrase linear function denotes to function which is linear, specifically of this form:

[tex]f(x) = mx + c[/tex]

This is also written as:

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

It is written so that we can take the outputs of the function f(x) in a separate variable for further mathematical treatments with ease.

Now when that second equation is plotted on XY plane, you get a straight line graph since this is the equation form of any straight line, in geometry.

All the straight lines are covered under y = mx + c linear function form.

Since the first graph contains a plot of straight line, thus the first graph is of linear function.

The second graph is of downwardly opened vertical parabola which is of degree 2, thus not linear.

Thus first graph is the graph of a linear function.

Learn more here:

https://brainly.com/question/959487

Answer:

x^2+4x-4

Step-by-step explanation:

4x+1+x^2-5

x^2+4x-4

Answer:

A. x² + 4x - 4

Step-by-step explanation:

When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):

4x + 1 + x² - 5

4x + x² - 4

x² + 4x - 4

A deck of cards has 52 total cards and four 6’s

Picking a 6 first would be 4/52 = 1/13

Without replacing there are 51 cards left and three 6’s

Picking a 6 would be 3/51 = 1/17

Probability of doing both is:

1/13 x 1/17 = 1/221

Answer:

150

Step-by-step explanation:

360 - (130 + 80) = 150

Answer:

150

Step-by-step explanation:

130+80= 210

360-210= 150

so it is 150

Step-by-step explanation:

1. -A-22=-2A-30

= -A+2A=-30+22

=A= -8

2. Y-12=2Y-4

=Y-2y=-4+12

-Y= +8

or Y = -8

1/4×4/5

4 cancels 4 which gives=1/5

7/10×1/2

= 7/20

3/4×9/10= 27/40

Answer:

+4, -4

Step-by-step explanation:

[tex]x^{2} =16\\\sqrt{x^{2} }=\sqrt{16}\\x=4/ x=-4[/tex]

Answer:

D

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{120}{360}[/tex]

     = 2π × 24 × [tex]\frac{1}{3}[/tex] = [tex]\frac{48\pi }{3}[/tex] = 16π → D

Answer:

solution,

[tex]mass = volume \times density \\ \: \: \: \: \: \: \: \: = 2.4 \: \frac{g}{ {cm}^{3} } \times 13.4 \: {cm}^{3} \\ \: \: \: \: \: \: \: \: = 2.4 \times 13.4 \: \: grams \\ \: \: \: \: \: \: \: \: \: \: = 32.16 \: \: grams [/tex]

Hope this helps...

Good luck on your assignment..

Answer: 0.3 kg

Step-by-step explanation:

£5 = 500p

500p ÷ 5 = 100

100 x 3 = 300 grams

300 ÷ 1000 = 0.3 kg

Hope this helps :)

Answer:

Hello!

_______________________

1 coin =    5p =20

5 x 20=100

100 x 3=300

0.3 kg

Step-by-step explanation: Multiply.

Hope this helped you!

Answer:

B

Step-by-step explanation:

Parallel lines have equal slopes, thus

slope of red line = slope of green line = 5 → B

Answer:

A triangle.

Step-by-step explanation:

The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.

Answer: The value of x is 6.

Step-by-step explanation:

TO find the volume of a cube you cube any side length. so if the side  length is 6.

6^3 = 216

To find the surface area of a cube you will square one of the side lengths and multiply it by 6.

so the side length is 6 and 6 squared is 36

36*6 = 216

Answer:

11. C=5

12. SQRT (43)

Step-by-step explanation:

11. 3^2+4^2=9+16=25

12. 8^2-4^2=64−16=48

Answer:

C.

Step-by-step explanation:

The parent function is y = cos(x).

When we have y = cos(x) + 1, this tells us that the graph has been shifted up by 1.

When we have y = -cos(x), this tells us that the graph has been reflected across the x-axis.

When we have y = 3cos(x), this tells us that the graph has been vertically stretched by a factor of 3.

All together, the answer is C.

Notes:

y = 3cos(x) would be a vertical stretch, while y = cos(3x) would be a horizontal compression.

y = -cos(x) is a reflection across the x-axis, while y = cos(-x) would be a reflection across the y-axis.

Answer:

A-does not exist  

Step-by-step explanation:

The pythagorian theorem :

That's absurd . A side cannot be negative since it's a distance

It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2

Answer:

A. does not exist

Step-by-step explanation:

Since this is a right triangle we can find the value of x using Phytagorian Theorem

(x-2)^2 = 12^2 + x^2

x^2 -4x + 4 = 144 + x^2 (x^2 will be eliminated)

-4x = 144

x = -36 since the side lengths cannot be negative we select the option A which says it doesn't exist.

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

Answer:

(3,2)

Step-by-step explanation:

y = −2x + 8

y = x − 1

Substitute the second equation into the first equation  for y

y = -2x+8

x-1 = -2x+8

Add 2x to each side

x-1+2x = -2x+8+2x

3x -1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x =9

Divide by 3

3x/3 = 9/3

x=3

Now find y

y = x-1

y =3-1

y=2

(3,2)

Answer:

Option C.

Step-by-step explanation:

So, in the question above we are given that the value or parameters for the required initial contribution (RIC) and

the minimum subsequent investment (MSI) for each options and we are going to calculate the amount that will be gotten after investing in each options and the one that gives the highest values will be the correct option, which in this case is OPTION C.

So, we will be starting from the OPTION C, in white have that the

required initial contribution (RIC) = $5,000 and the minimum subsequent investment (MSI) = $100 for option C.

One year = 12 months

10 years = x months.

x = 10 × 12 = 120 months in ten years.

Thus, the formula for the Calculation is given below;

= 120 months × minimum subsequent investment (MSI) + required initial contribution (RIC).

= (120 months × $100) + $5,000 = $17,000.

If we Calculate for the other options with this format, we will have values for option A = $13, 000 and option B= $2,900 and the value for the investment in option D = $12,050.

$17,000 is the highest which is for option option C. Therefore, Sean should put his money in option c for better investment.

Answer:

  b.  98.5°

Step-by-step explanation:

There are a number of ways to do this. Perhaps one of the simplest is to compute the angle associated with each vector, and find the difference.

We can compute that angle as ...

  vector angle = arctan((coefficient of j)/(coefficient of i))

where the arctangent is computed in the appropriate quadrant according to the signs of i and j.

  ∠u = arctan(-8/√5) ≈ -74.38°

  ∠v = arctan(1/√5) ≈ 24.09°

The angle between these vectors is then ...

  24.09° -(-74.38°) = 98.47° ≈ 98.5°