Find the length of side x in the simplest radical form with a rational denominator. Will mark correct answer brainliest!

Answer:

√(p²-4q)

Step-by-step explanation:

Using the Quadratic Formula, we can say that

x = ( -p ± √(p²-4(1)(q))) / 2(1)  with the 1 representing the coefficient of x². Simplifying, we get

x = ( -p ± √(p²-4q)) / 2

The roots of the function are therefore at

x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus

( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)

= 0 + 2 √(p²-4q)/2

= √(p²-4q)

Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Answer:

3.1°

Step-by-step explanation:

Given the temperature values :

12 degrees, -2 degrees, -6 degrees, and 8.4 degrees

To obtain the average temperature, take the sum of the temperatures and divide by the number of days

Sum of temperature values : (12 + (-2) + (-6) + 8.4) = 12.4 degree

Sum of temperature / 4

= 12.4 / 4

Average temperature = 3.1 degrees

Answer:

Not equivalent to any of the options

Step-by-step explanation:

Given:

7^2m * 6^2m

Since, they both have different bases, multiply the bases and add the powers

7^2m * 6^2m

= (7 * 6)^(2m + 2m)

= 42^4m

Therefore,

7^2m * 6^2m is equivalent to 42^4m

A. 42^6m

Not equivalent

B. 42^m

Not equivalent

C. 42^9m

Not equivalent

Answer:

B

Step-by-step explanation:

there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4

Answer:

volume = x(x+2)(2x+1) = 2x^3+5x^2+2x

a = 2

b = 3

c = 5

d = 2

e = 2

f = 1

Answer:

1) x=6,    2) x=13

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

5 ➗ -3

=> 5/-3

=> -5/3 or -1.66667

5 divided by -3=1.666666666666667

Answer:

V=L x W x H

(4.7)(5.2)(4.7)(5)

=574.34 inch

Answer:

the answer is 140.6

Step-by-step explanation:

got it right on quiz

hi

it a cube so it's height,length and width are the same.

if volume is 112 so one if this measure is : 112^(1÷3) =4,82

Answer:

slope : -1, y-intercept : 13

Step-by-step explanation:

-x = -1 times x

+13 = 13 = y-intercept

Answer:

This equation is in slope intercept form, y=mx+b, where m is the slope and b is the y intercept.

So, the slope is -1 and the y intercept is 13.

Hope this helps!

Answer:

A) 720

B) a=120

Step-by-step explanation:

A) 6 sided polygon interior angle sum is (6-2)*180=720.

B) 90+110+115+160+125+a=720, a=120

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to pre image

scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D

Answer:

4%  = 0.04

4000 = 0.04

6 years = 0.04

Step-by-step explanation:

Hope this helps!

Answer:

39.4 or 40 % depending on which place you round it to

Step-by-step explanation:

18 * 1.10= 19.8      

(19.8  - 12) / 19.8 = 0.39393939...

so 39.4 or 40 % depending on which place you round it to

Answer:

B. -2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

1

= -2

θ =  

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

4/5

Step-by-step explanation:

Square of 1: 1*1=1

Square of 2: 2*2=4

Square of 3: 3*3=9

Square of 4: 4*4=16

Square of 5: 5*5=25

Square of 6: 6*6=36

Square of 7: 7*7=49

Square of 8: 8*8=64

Square of 9: 9*9=81

Square of 10: 10*10=100

Those are the basics.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

[tex] \large{ \tt{❊ \: S \: O \: L \: U \: T \: I \: O \: N \:❊ }}[/tex]

[tex] \underline{\large{ \tt{۵ \: S \: T \: E \: P \: S} }} : [/tex]

[tex] \large{ \tt{❁ \: \sqrt{ \frac{16}{25} }→\sqrt{ \frac{ {4}^{2} }{ {5}^{2} } }→ \sqrt{ (\frac{4}{5} ) ^{2} } → (\frac{4}{5} )}^{ \frac{2}{2} } → \boxed{ \tt{ \frac{4}{5} }}} [/tex]

[tex] \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \frac{4}{5} }}}}[/tex]

Answer:

First we need the formula to solving a cone :

[tex]V=\pi r^2\frac{h}{3}[/tex]

We substitute pi as 3.14!

62.8 is the answer

Why?

3.14 x 5 squared x 12/3 is 62.8

Therefore the answer is 62.8

Answer:

y = -26.059x + 722.63

Step-by-step explanation:

The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.

It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.

To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.

Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.

In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.

Learn more about equations on:

https://brainly.com/question/13763238

#SPJ2

Answer:

d

Step-by-step explanation:

Answer:

D

because the least popular thing that was sell at the bake sale is the corn muffins

hope this helps!!!

Answer:

48 teachers

Step-by-step explanation:

Here's two solutions:

Solution 1: Build an equation.

Let $T$ be the number of teachers. The number of math teachers is $\frac{3}{8}T$, and the number of non-math teachers is $30$. Since each teacher is either a math teacher or not a math teacher, we have

$$\frac{3}{8}T + 30 = T.$$Multiplying each side of this equation by $8$ gives us

$$3T + 240 = 8T.$$Subtracting $3T$ from each side gives us $240 = 5T$, and dividing both sides by $5$ gives us $48=T$. Therefore, there are $48$ teachers at Naran's school.

Solution 2: Think proportionally.

Since three-eighths of the teachers are math teachers, the other five-eighths are not math teachers. So, these $30$ non-math teachers are five-eighths of the total number of teachers. Therefore, $\dfrac{30}{5} = 6$ teachers are one-eighth of the total. So, there are $6\cdot 8 = \boxed{48}$ teachers in all.

Answer:

Step-by-step explanation:

Sum of digits of rank even - sum of digits of rank odd  must be a multiple of 11

(5+4+m+1)-(1+6+0)=11*k

10+m-7=11*k

3+m=11*k

m=8

Proof: 1086415/11=98765

Given:

The graph of a linear inequality.

The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.

To find:

The inequality for the given graph.

Solution:

The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\dfrac{1+2}{1}(x)[/tex]

[tex]y+2=3x[/tex]

Subtract 2 from both sides.

[tex]y=3x-2[/tex]

The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].

[tex]y\geq 3x-2[/tex]

Therefore, the required inequality is [tex]y\geq 3x-2[/tex].

Answer:

y>3x-2

Step-by-step explanation:

.............................

Answer:

sqrt( 97)

Step-by-step explanation:

To find the distance between 2 points

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   = sqrt( (3-7)^2 + (8 - -1)^2)

    = sqrt( ( -4)^2 + (8+1)^2)

    = sqrt( 16+9^2)

   = sqrt(16+81)

  = sqrt( 97)

Answer:

(0.5, 0.5)

Step-by-step explanation:

Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

The points are:

[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]

Therefore, the midpoint between A and C is located at (0.5, 0.5).

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12