please help me

Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.

Methods:

Factoring
Square root Property
Completing the Square
Quadratic Formula

1. 3x^2 - 192 = 0
Method:
Why:

2. x^2-x-6=0
Method:
Why:

3. x^2-6x-7=0
Method:
Why:

4. x^2-17x-7=0
Method:
Why:

Answer:

x=4

Step-by-step explanation:

First, simplify:

-20 +4x =-4

Then, solve

4x=16

x=4

Answer:

The value of x would be 4.

Answer:

6

Step-by-step explanation:

i am not sure but i think its right sorry if you get it wrong

Answer:

C

Step-by-step explanation:

1/2bh is the formula for the area of a triangle

multiply the base and the height

9 x 19 = 171

then multiply by 1/2 or divide by 2

171/2 = 85.5 or 85 1/2

Answer:

it's a black image theres no line

Answer:

Distance between B and C is 9.6 miles.

Step-by-step explanation:

By applying tangent rule in the given right triangle ABC,

tan(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{BC}{6}[/tex]

1.60 = [tex]\frac{BC}{6}[/tex]

BC = 9.6 mi

Therefore, Distance between B and C is 9.6 miles.

Answer: 9.6

Step-by-step explanation:

Answer:

This is not a function, so we can not find the equation of this line.

Step-by-step explanation:

The two points form equation of a line is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]  

Where:

The first point is (3,-4) and the second point is (3,8)

Let's first find the slope. The equation of m is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{8-(-4)}{3-3}[/tex]  

Here the slope is not defined, so we can not find the equation of this line, because it is not a function.  

I hope it helps you!

Answer: A, 1/20

Step-by-step explanation: There is only one Ryan of 20 students.

Answer:

Step-by-step explanation:

Answer:

531441

Step-by-step explanation:

using multiplicative law of indices

2 by 3 Is 6

so, -9⁶=531441

Answer: Becky I guess

Step-by-step explanation:

Answer:

PEMDAS

Step-by-step explanation:

The order of operations is the order in which you solve an equation to find the correct answer. This is very important because randomly solving parts of an equation without using the order of operations will result in the wrong answer. The order of operations is PEMDAS which stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Example:

[tex](2*2)^{2}+6/3-1[/tex]

Using PEMDAS to solve this equation we get 17 as our answer. However, if we solve it in order of how it appears we end up with 19/3 or 6.33, which is a very different answer.

Answer:

65 degrees

Step-by-step explanation:

1) Find the value of x

The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:

[tex](2x-5)+(115-x)+x=180[/tex]

Open up the parentheses

[tex]2x-5+115-x+x=180[/tex]

The two x's cancel out

[tex]2x-5+115=180\\2x+110=180[/tex]

Subtract 110 from both sides

[tex]2x+110-110=180-110\\2x=70[/tex]

Divide both sides by 2

[tex]2x/2=70/2\\x=35[/tex]

Therefore, x is equal to 35.

2) Find the value of <C

[tex]C=2x-5[/tex]

Plug 35 into the equation as x

[tex]C=2(35)-5\\C=70-5\\C=65[/tex]

Therefore, the value of angle C is 65 degrees.

I hope this helps!

Answer:

1/26

Step-by-step explanation:

There is only one 6 of hearts and only one ace of diamonds.

The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.

The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results:  1/52 + 1/52 = 2/52 = 1/26.

Answer:

the volume is 157.08

Step-by-step explanation:

formula is v=1/3hπr²

1: V=1/3(6)π(5)²

2. V=1/3(6)π(25)

3:V=2*π*25

4: V=157.079

Answer:

I think the answer would be 2,140

Answer:

Median is 7

Step-by-step explanation:

Give me brainllest

Answer:

y=2-e^(1-x)

Step-by-step explanation:

This can be solved by separating the variables.

dy/dx=2-y

Multiply both sides by dx

Divide 2-y on both sides

dy/(2-y)=dx

Integrate both sides

-ln|2-y|=x+c

Multiply both sides by -1

ln|2-y|=-x-c

Equivalent logarithm form

2-y=e^(-x-c)

Minus 2 on both sides

-y=e^(-x-c)-2

Multiply both sides by -1

y=-e^(-x-c)+2

The ordered pair (1,1) belongs to the curve so we have

(I'm going to use this earlier form -ln|2-y|=x+c)

-ln|2-1|=1+c

-ln|1|=1+c

-0=1+c

0=1+c

Minus 1 on both sides

-1=c

Answer:

y=-e^(-x-(-1))+2

Or

y=-e^(-x+1)+2

Or

y=2-e^(1-x)

Answer:

342 sq miles

Step-by-step explanation:

separated figure into 4 vertical pieces with the following dimensions:

5x31 rectangle:  A = 155

4x13 rectangle:  A = 52

3x13 rectangle:  A = 39

trapezoid (h = 8; bases of 11 and 13):  A = 96

Answer: X= 57/2

Hope this helps!

Answer:

x = 28.5

Step-by-step explanation:

1. Write the equation

4(x+9) = 3(2x - 7)

2. Distribute

4x + 36 = 6x - 21

3. -4x from both sides

36 = 2x - 21

4. +21 on both sides

57 = 2x

5. Divide 2 on both sides

x = 28.5

Answer:

$20000

Step-by-step explanation:

6*10^12/ 300 million

Answer:

A. Negative reciprocals

Answer:

choice 1) 14m

Step-by-step explanation:

Step-by-step explanation:

Angle BCA + Angle BCD = 180 (Sum of angles on a straight line)

Angle BCA + 113 = 180

Angle BCA = 180 - 113

= 67

Angle BCA + Angle A + Angle B = 180 (Sum of angles in a triangle)

67 + 72 + Angle B = 180

139 + Angle B = 180

Angle B = 180 - 139

= 41

The measure of ∠B is m∠B = 41°.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The sum of the exterior angle and adjacent angle with is 180°.

So, ∠BCD = 180 - 113 = 67°.

The sum of all the angles of the triangle is 180°.

So,

72° + 67° + ∠B = 180°.

∠B = 180° - 139°.

∠B = 41°.

Therefore, ∠B = 41°.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ2

Answer:

90mm cubed

Step-by-step explanation:

Answer:

90 mm³

Step-by-step explanation:

V = area of base multiplied by height

base in this example is the triangle, which has an area of 15/2 or 7.5

height = 12

12 x 7.5 = 90

The total length of each part is 5/3ft.

Answer:

at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Step-by-step explanation:

Given the data in the question;

sample size n = 8

mean x' = 3.0

standard deviation σ = 0.23

To calculate the confidence interval, we use the following expression;

x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation

now, at 99% confidence interval;

∝ = 1 - 99% = 1 - 0.99 = 0.01

degree of freedom df = n - 1 = 8 - 1 = 7

hence t-critical value = 3.499

in equation 1, we substitute in our values;

⇒ 3.0 ± 3.499( 0.23/√8  )

⇒ 3.0 ± 0.2845

⇒ 3.0 - 0.2845, 3.0 + 0.2845

⇒ ( 2.7155, 3.2845 )

Therefore at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Answer:

31

Step-by-step explanation:

124/4 = 31 pages per one fourth of the book

If your brother reads one fourth of the book then he reads 31 pages.

31

Step-by-step explanation:

divide 1/4 by 24 and 31 should be the answer

Answer:

40 miles away from home

To put it in yard would be 82,720

Step-by-step explanation:

Answer:

Okay

Step-by-step explanation:

I'll see if I know the answer