Select the correct answer.
Solve the following quadratic equation.

(x + 4)^2 = 25

A. x= 9 and r = -1
B. x= -9 and x = -1
C. x= -9 and x= 1
D. x = 9 and x = 1

Answer:

What

Step-by-step explanation:

Answer:

is b

Step-by-step explanation:

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

https://brainly.com/question/2263981

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Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

Answer: it should be 565.5

Step-by-step explanation:

Answer: the volume would be 565.49 rounded 565.5

Step-by-step explanation:

trust i plugged it into a cylinder calculator

Question 1

Answer: C) First and last term

----------------

Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

=========================================================

Question 2

Answers:

----------------

Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

Answer:

Sorry. What's the question?

Answer:

12:6, 9:45

Step-by-step explanation:

Ratios I think you are asking

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

1) Use translation to coincide the center of a circle with the center of the other circle.

2) We construct the respective loci for the circles.

3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.

Step-by-step explanation:

Geometrically speaking, a circle is formed after knowing its center and radius.

1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):

[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]

[tex]C_{A'} (x,y) = (2,4)[/tex]

2) We construct the respective loci for the circles.

By Analytical Geometric, a circle is represented by the following locus:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where:

[tex]x, y[/tex] - Coordinates of a point of the circunference.

[tex]h, k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.

Then, the circles A' and B are represented by the following loci:

Circle A'

[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]

Circle B

[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]

Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

49

Step-by-step explanation:

Answer:

New Rural Urban distribution = 56.4 , 43.4

Step-by-step explanation:

Let the total population be = 100

The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively

Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.

Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.

So, New rural population = old rural - rural to urban shift + urban to rural shift  = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4

New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4

So, the new distribution is =  56.4 , 43.4

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)

Answer:

F(x) represents the zeros of the given quadratic function. i.e. the linear factors represents zero when we resolve the expression

Step-by-step explanation:

Describing the relationship between the zeros of the quadratic function and the linear factors of the expression using an example as shown below

lets describe this using the example below :

quadratic expression  : F(x) = ax^2 + bx + c

let the linear factors of  F( x ) = 0

F(x) represents the zeros of the given quadratic function above i.e. the linear factors represents zero when we resolve the expression

Answer:

20

Step-by-step explanation:

In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20

Answer:

answer = -29

Step-by-step explanation:

2*-3*4-5

Answer:

-29

Step-by-step explanation:

=2(-3)(4)-5

=-6(4)-5

=-24-5

=-29

Hope this helps.

Answer:

23/5

Step-by-step explanation:

multiply denominator by whole number. add the numberator. sum will now be your new numberator (denominator always stays the same).

hope this helps! (❁´◡`❁)

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Answer:

Step-by-step explanation:

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

To convert the value of speed in feet per seconds to kilometers per hour:

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320‬ inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)

Answer:

12

Step-by-step explanation: