What are the roots of the equation x2 - 5x + 6 = 0?
A
1 and -6
B.
2 and 3
C
-1 and 6
D.
-2 and -3​

Answer:

x = 58

Step-by-step explanation:

We can use algebra to solve this one! Since <FAE + <FA= 180 we can write :

x + 7 + 2x -1 = 180

Let's simplify the left side to :

3x + 6 = 180

Subtract 6 to isolate the variable.

3x = 174

Divide both sides by 3 to get

x = 58

Answer:

Area of bigger circle = 36.32cm²

Step-by-step explanation:

Kindly find attached rough sketch for your reference

This problem bothers on the mensuration of flat shapes, a circle

Kindly find attached

Given data

Area of small circle =9cm³

Say we assume the all unit is in cm

From the diagram we can see that the diameter of the small circle is the radius of the bigger circle

So let us solve for the diameter of the small circle

9= πr²

r²=9/3.142

r²= 2.86

r=√2.86

r= 1.7cm

But diameter of small circle

d= 2r

d= 1.7*2= 3.4cm

Hence the radius of the bigger circle is 3.4cm

Area of bigger circle =πr²

=3.142*3.4²

=3.142*11.56

Area of bigger circle = 36.32cm²

Answer:

The mean of the number of real messages you should expect to find in your inbox is 22.75

Step-by-step explanation:

According to the given data we have the following:

reported spam email messages percenatge=91%

number of messages in inbox=25

Therefore, In order to calculate the mean of the number of real messages you should expect to find in your inbox we would have to use the following formula:

Mean ( np ) =number of messages in inbox*reported spam email messages percenatge10 * 0.6 = 6

Mean ( np ) =25 *0.91= 22.75

The mean of the number of real messages you should expect to find in your inbox is 22.75

To find the mean of real messages in an inbox, subtract the percentage of spam messages from 100% to obtain the real message percentage. The mean number of real messages is then calculated by finding 9% of the total number in the inbox. For an inbox with 25 messages, the mean number of real messages would be 2.25.

To find the mean number of real messages we would expect in an inbox containing 25 emails, we need to utilize percentages first. According to the data given by Postini, 91% of email messages are spam, which implies that the rest, 9% (100% - 91%), are real messages.

To find the expected number of real messages, we calculate 9% of the total number of messages, in this case, 25. This calculation leads us to:

0.09 * 25 = 2.25

Therefore, the mean number of real messages we can expect to find in an inbox of 25 messages is 2.25.

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The length of VS will be 20 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

V is the midpoint of QS and W is the midpoint of RS.

Now,

Since, V is the midpoint of QS and W is the midpoint of RS.

Hence, We get;

⇒ QV = VS

And, RW = WS

Cleary, Triangle QRS and Δ VWS are congruent.

Hence, We can formulate by the definition of proportional;

⇒ VS / QS = VW / QR

Substitute all the values, we get;

⇒ 2a / 4a = (2a - 2) / (3a + 6)

⇒ 1/2 = (2a - 2) / (3a + 6)

⇒ 3a + 6 = 2 (2a - 2)

⇒ 3a + 6 = 4a - 4

⇒ 6 + 4 = 4a - 3a

⇒ 10 = a

⇒ a = 10

Thus, The value of length VS = 2a

                                             = 2 × 10

                                             = 20 units

Therefore, The length of VS will be 20 units.

Learn more about the triangle visit:

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Answer:

c

Step-by-step explanation:

Answer:

Kayla plays on average 0.2 more chess games than Becker

Step-by-step explanation:

The first thing we must do is calculate the mean of each one.

Becker:

(5 + 2 + 4 + 1 + 1 + 4 + 5 + 3 + 2 + 1) / 10 = 2.8

Kayla:

(2 + 3 + 1 + 1 + 4 + 1 + 5 + 3 + 5 + 5) / 10 = 3

if we subtract these averages, we have to:

3 - 2.8 = 0.2

which means that Kayla plays on average 0.2 more chess games than Becker. Since it is not even a complete game, the difference between the two is very small and almost irrelevant.

Answer:

5/27

Step-by-step explanation:

I think.

Answer:

49m³

Step-by-step explanation:

The difference between the volume of water used between August and September.

∆ in Volume = volume in September - volume in August

=6287 m³ - 6238 m³

=49m³

Answer:

49m3

Step-by-step explanation:

Answer:

what are the choices

Step-by-step explanation:

Answer:

2y+16=x (last choice)

Step-by-step explanation:

Answer:

The new points will be:

A" - (-4, -5)

B" - (-4, -2)

C" - (-1, -2)

Answer:

i added a photo with the answer :)

Step-by-step explanation:

Answer:

y = 2 x minus 6

Step-by-step explanation:

(-6,-18) and (-1,-8)

Slope: (-8 - -18)/(-1 - -6)

10/5

2

y = 2x + c

-8 = 2(-1) + c

-8 = -2 + c

c = -6

y = 2x - 6

y = 2x - 4

Answer:

c

Step-by-step explanation:

Answer:

1/3 x 1

1/6 x 2

1/12 x 4

1/24 x 8

Step-by-step explanation:

just multiply the denominator by 2 and also multiply the number youre multiplying the fraction with by 2 and you'll continue to get multiples with equivilant fractions.

hope this heps!

Please mark brainliest :)

Answer:

median = 5

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact value in the middle then it is the average of the 2 values on either side, that is

3  ,   3  ,  5  ,   5  ,   7  ,   9

                   ↑ middle

median = [tex]\frac{5+5}{2}[/tex] = [tex]\frac{10}2}[/tex] = 5

Answer:

The median is 5.

Step-by-step explanation:

First we must arrange them in order.

3, 3, 5, 5, 7, 9

we must cross out the numbers to find the middle number so,

we cross the beginning and last number which in this is case is 3 and 9

3, 5, 5, 7

we must do the same thing we did so in this case the beginning is 3 and 7 is the end so we must cross them out

5,5

we have two numbers and no number in the middle

in this case we add the 2 numbers together so,

5 + 5 = 10

then we must divide the answer by 2

10/2 = 5

So, the median is 5

Hope this helps :)

The cost to rent each chair is $1.5 and each table is $6.

To solve this problem, let's denote the cost of renting one chair as C and one table as T.

From the given information, we can set up a system of equations:

1. 8C + 3T = 30 (for the first scenario with 8 chairs and 3 tables)

2. 2C + 5T = 33 (for the second scenario with 2 chairs and 5 tables)

Use the elimination method.

First, multiply equation 1 by 2 and equation 2 by 8 to eliminate C:

1. 16C + 6T = 60

2. 16C + 40T = 264

Now, subtract equation 1 from equation 2:

(16C + 40T) - (16C + 6T) = 264 - 60

34T = 204

Now, divide both sides by 34:

T = 204 / 34 = 6

Now, we have found that the cost to rent one table is $6.

Substitute T = 6 into equation 1:

8C + 3(6) = 30

8C + 18 = 30

8C = 30 - 18

8C = 12

C = 12 / 8

= 1.5

Therefore, the cost to rent one chair is $1.5.

Therefore, the cost to rent each chair is $1.5 and each table is $6.

Answer:

g= L/(T/2π)²

Step-by-step explanation:

To solve for L in the equation T=2π√L/g, we square both sides to get T² = 4π²L/g. Then, multiplying both sides by g gives gT² = 4π²L. Finally, dividing by 4π² gives the rearranged formula L = gT²/(4π²).

The initial formula T=2π√L/g denotes the period of one swing of a simple pendulum, where T is the period, L is the length of the string, and g is the acceleration due to gravity. To solve for L, we first need to square both sides of the equation to get rid of the square root, resulting in T² = 4π²L/g. Then we multiply both sides by g to get gT² = 4π²L. Finally, we divide both sides by 4π² to solve for L: L = gT²/(4π²). This is the rearranged formula to solve for the length of the pendulum in terms of π, T, and g.

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Answer:

1/2

Step-by-step explanation:

cause there only 2 sides and one of those sides tails and the other heads and to not get tails it would be 1/2

Answer:

(1)24 kmph (2) 54 kmph (3) 72 kmph (4) 81 kmph 18. Two trains are running ... The length of the faster train is (l)170m (2) 100 m (3) 98 m (4) 85 m 19. In a kilometre race, if A gives B a headstart of 40 m, then A wins by 19 seconds.

=40

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

$122.80 + $40.94 = $163.74

$163.74 - 25% = $122.80

Answer:

The answer is C

Step-by-step explanation:

122.80 plus 40.94 equals 163.74

163.74 subtract 25% equals 122.80

Answer: 24 km2

Step-by-step explanation: Surface area is measured by multiplying two lengths. For example: The area of a square with sides of length a is Area = a * a = a²

Therefore, the answer is 24 km2

I hope this helps!

Answer: 24 km2!!!

Step-by-step explanation:

The expression equivalent to (25x - 10y) is (5(20x - 10y)) thus option D, is correct.

To determine the equivalent expression, we can use the distributive property, which states that (a(b + c) = ab + ac). In this case, option D,(5(20x - 10y)), applies the distributive property by multiplying 5 to both terms within the parentheses. The result is [tex]\(5 \times 20x - 5 \times 10y\)[/tex], which simplifies to (100x - 50y). Therefore, option D is equivalent to (25x - 10y).

Understanding the distributive property is fundamental in algebraic simplification. When applying the distributive property to option D, each term inside the parentheses is multiplied by 5, resulting in the expression (100x - 50y). This matches the given expression (25x - 10y), confirming that option D is the correct equivalent expression.

Recognizing and using algebraic properties, such as the distributive property, is crucial for simplifying expressions and identifying equivalent forms. In this case, option D accurately represents the given expression in a different but equivalent form, providing a valuable tool for algebraic manipulation and problem-solving in mathematics.

Final answer:

The expression that is equivalent to 25x – 10y is 5(5x – 2y), where 5 is factored out as the greatest common factor.

(Option A)

Explanation:

The expression equivalent to 25x – 10y can be found by factoring the greatest common factor out of each term. Looking at 25x and -10y, the largest number that divides both 25 and 10 is 5. Factoring a 5 out of each term, we get 5(5x – 2y). Hence, the equivalent expression is 5(5x – 2y).

So, the answer to the question is:

The factored expression, 5(5x – 2y), is the result of extracting the greatest common factor from 25x – 10y. This simplified form is equivalent to the original expression and confirms that option A, 5(5x – 2y), is the correct answer.

Answer:

P'Q' = 4

A'B' =3

M'N' =6

Step-by-step explanation:

Multiply each length by the scale factor to determine the new length

PQ *2 = 2*2 = 4

P'Q' = 4

AB *2 = 1.5*2 = 3

A'B' =3

MN *2 = 3*2 = 6

M'N' =6

Answer:

[tex]x = 8 \\ x = - 9[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 2x - 144 = 0 \\ 2 {x}^{2} + 18x - 16x - 144 = 0 \\ 2x(x + 9) - 16(x + 9) = 0 \\ (2x - 16)(x + 9) = 0 \\ \\ 2x - 16 = 0 \\ 2x = 0 + 16 \\ 2x = 16 \\ \frac{2x}{2} = \frac{16}{2} \\ x = 8 \\ \\ x + 9 = 0 \\ x = 0 - 9 \\ x = - 9[/tex]

Answer:

Front

Step-by-step explanation:

Answer:

X=90 degrees, Y=134 degrees, Z=136 degrees

Step-by-step explanation:

X=90 degrees. It is supplementary to the right angle or forms 180 degrees with it.

The triangle angles add up to 180 degrees.  Therefore, the angle supplementary to Y is 180-(90+44)=46.  Now, 180-46=134.  You could also use the exterior angle theorem which states that the exterior angle is equal to the sum of the two remote interior angles.  The 2 remote interior angle to y would be 90 and 44.  90+44=134=y.

Z is  supplementary to 44 because it is also 180 degrees.  Z=180-44=136 degrees.

Answer:

x = 90

y = 134

z = 136

Step-by-step explanation:

The right angle measures 90 degrees.

x + 90 = 180

x = 90

z + 44 = 180

z = 136

Theorem:

The measure of an exterior angles of a triangle equals the sum of the measure of the two remote interior angles.

Using the theorem, we get

y = 90 + 44

y = 134

Answer:

x = 90

y = 134

z = 136

Answer:

It 20%

Step-by-step explanation:

Yw  ->-

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

Answer:

20/29, or option 3

Step-by-step explanation:

The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case, the length of the adjacent leg is 20, and the length of the hypotenuse is 29, meaning that the cosine of angle A is 20/29. Hope this helps!

Answer:

Step-by-step explanation:

When the circle is fill in it means theres more than one answer so it can be greater than or equal to or less than or equal to. When theres only a circle is means greater then or less than

I hope this helps you to get the right answers.