solve the equation. -x/3=27

Answer:

d = sqrt( a^2 + b^2)

Step-by-step explanation:

Formula

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

Givens

x1 = a

x2 = 0

y1 = 0

y2 = b

Solution

d = sqrt( (0 - a)^2 + (b - 0)^2 )

d = sqrt( a^2 + b^2)

which is another way of writing the Pythagorean theorem.

To find the distance between points (a, 0) and (0, b), use the distance formula which results in √(a² + b²). This involves calculating the square root of the sum of the squares of the coordinates.

Therefore, the final distance is √(a² + b²).

Finding the Distance Between Two Points

To find the distance between two points (a, 0) and (0, b), we use the distance formula:

Distance formula: d = √((x2 - x1)² + (y2 - y1)²)

Let's denote the points as:

Point 1: (a, 0)

Point 2: (0, b)

Applying the coordinates to the distance formula, we get:

d = √((0 - a)² + (b - 0)²)

Simplifying inside the square root:

d = √(a² + b²)

So, the distance between the points (a, 0) and (0, b) is √(a²+ b²).

Answer:

1. The railroad built towns along the railroad.

and

3. The railroad recruited settlers to form new.

Step-by-step explanation:

I just took it

The railroad facilitate population growth in the interior of the country by  The railroad built towns along the railroad, The railroad recruited settlers to form new.

A population is a complete set of a group of individualists, whether that group constitutes a nation or a group of groupings with a common characteristic. In data point, a population is the pool of individuals from which a statistical sample is drawn for a study. As we see, different countries have different populations.

The construction of the transcontinental railroad boosted Western economic development and population growth. For both persons and commodities, railroad businesses offered superior transportation. Additionally, they sold the property to settlers, which prompted a Westward migration. New railroads benefited the industry.

Therefore, option (A) is correct

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Answer: -12

Step-by-step explanation:

[2+(-4)] becomes (2-4), or -2, and 5-[(-11)x(-2)]-(-7) becomes 5-22+7, so the entire thing is -2+5-22+7, so it is -12.

The given expression [2+(-4)]+5-[(-11)x(-2)]-(-7) simplifies to -12.

To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS):

Step 1: Evaluate the innermost parentheses:

[2 + (-4)] + 5 - [(-11) x (-2)] - (-7)

[2 - 4] + 5 - [(-11) x (-2)] - (-7)

Step 2: Complete the operations inside the brackets:

[-2] + 5 - [22] - (-7)

Step 3: Simplify the subtraction and negation:

-2 + 5 - 22 + 7

Step 4: Perform addition and subtraction from left to right:

(5 - 2) - 22 + 7

3 - 22 + 7

Step 5: Continue performing addition and subtraction:

-19 + 7

Step 6: Final result:

-12

The expression simplifies to -12.

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Answer:

120 is a composite number. 120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.

Answer:

3 x [tex]2^{3}[/tex] x 5 = 120

Step-by-step explanation:

Use the factorization tree to answer this question.

It decreases by $95.71

Answer:

decreases by $95.71

Step-by-step explanation:

Just did test

Answer:

3 whole number, 9/20

because if you multiply 20 by 3 and add it by 9 you get 69, so when you divide the 69/20, you get 3.45

Answer:

In order for the average to equal 3,000 then the total attendance must equal 9,000.

Show 1 = 2,580

Show 2 = 2,920

2 show total = 5,500

Therefore, third show total must equal 9,000 minus 5,500 =

3,500

Double-Check

2,580 + 2,920 + 3,500 = 9,000

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Consider the differences in the terms

2 - (- 1) = 2 + 1 = 3

7 - 2 = 5

14 - 7 = 7

The differences are 3, 5, 7 ← increasing in steps of 2

Thus the next 2 differences should be 9 and 11

Then the next 2 terms are

14 + 9 = 23

23 + 11 = 34

(N-5)*7

The N-5 is in parenthesis, so this needs to be done first, then the multiplication is done.

To say this verbally:

Subtract five from N, then multiply by seven.

Answer:

The perimeter of quadrilateral ABCD is 27.48 units

Step-by-step explanation:

we know that

The perimeter of quadrilateral ABCD is the sum of its four length sides

so

[tex]P=AB+BC+CD+AD[/tex]

we have

A(-5, 4),B(0,3),C(4,-1) and D(4,-5)

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

Find the distance AB

Substitute in the formula

[tex]d=\sqrt{(3-4)^{2}+(0+5)^{2}}[/tex]

[tex]d=\sqrt{(-1)^{2}+(5)^{2}}[/tex]

[tex]AB=\sqrt{26}\ units[/tex]

Find the distance BC

Substitute in the formula

[tex]d=\sqrt{(-1-3)^{2}+(4-0)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(4)^{2}}[/tex]

[tex]BC=\sqrt{32}\ units[/tex]

Find the distance CD

Substitute in the formula

[tex]d=\sqrt{(-5+1)^{2}+(4-4)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(0)^{2}}[/tex]

[tex]CD=4\ units[/tex]

Find the distance AD

Substitute in the formula

[tex]d=\sqrt{(-5-4)^{2}+(4+5)^{2}}[/tex]

[tex]d=\sqrt{(-9)^{2}+(9)^{2}}[/tex]

[tex]AD=\sqrt{162}\ units[/tex]

Find the perimeter

substitute the values

[tex]P=\sqrt{26}+\sqrt{32}+4+\sqrt{162}=27.48\ units[/tex]

see the attached figure to better understand the problem

Answer:

What is the circumference of a circle with an area of 50.24 cm²?

Use 3.14 for pi.

Enter your answer as a decimal in the box.

25.12cm

Answer:

2/9

Step-by-step explanation:

16/72 = (8×2)/ (8×9)=2/9

Answer: 2/9

Step-by-step explanation:

Divide it by 2 and keep going until you can't anymore.

Answer:

y = 2x

Step-by-step explanation:

This is what is known as direct variation.

I am joyous to assist you anytime.

Answer:

[tex]\dfrac{1}{3} \left (\dfrac{1}{b} - 1 \right )[/tex]

Step-by-step explanation:

[tex]f(x) = \dfrac{1}{3b} - \dfrac{1}{3}[/tex]

1. Find the least common multiple of the denominators

The least common multiple of 3 and 3 is 3.

2. Factor out ⅓.

[tex]\dfrac{1}{3b} - \dfrac{1}{3} = \mathbf{\dfrac{1}{3} \left (\dfrac{1}{b} - 1 \right )}[/tex]

Answer:

The number of dimes is 42 and the number of quarters is 8

Step-by-step explanation:

Let

x -----> the number of dimes

y -----> the number of quarters

Remember that

1 dime=$0.10

1 quarter=$0.25

we know that

0.10x+0.25y=6.20 -----> equation A

x=3y+18 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (42,8)

see the attached figure

therefore

The number of dimes is 42 and the number of quarters is 8

There are 42 dimes and 8 quarters

The two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

[tex] \large {\boxed {\bold {ax + bx = c}}} [/tex]

x, y = variable

In this equation system there are coefficients and variables whose solutions can use:

We can state the problem in the form of algebraic equations

we translate this sentence into Algebraic expressions:

dime = D = $ 0.10

quarter = Q = $ 0.25

Then the equation becomes:

we translate this sentence into Algebraic expressions:

D = 18 + Q

We solve the two equations with substitution and elimination

1. elimination

0.1D + 0.25Q = 6.20 x 10

D - 3Q = 18                 x 1

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

D + 2Q = 62

D - 3Q = 18

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

5.5Q = 44

Q = 8

2. substitution

D - 3Q = 18

D - 3.8 = 18

D - 24 = 18

D = 42

6 squared divided by 2 (3) +4

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an algebraic expression

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Answer:

(-2)(-2) or 4

Step-by-step explanation:

[tex](-2)^2=4[/tex]

"It is the number of times a number is multiplied by itself. "

For given question,

We have been given a number [tex](-2)^2[/tex]

We need to write given number without exponent.

[tex](-2)^2\\=(-2)\times (-2)\\=4[/tex]

Therefore, [tex](-2)^2=4[/tex]

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Answer:

Well there is a lot of different numbers he could be thinking of because we are only given 2 useful pieces of information: Four Digits, and, a 3 in the tens place (30).

.

This means that the other spaces could be any number.

.

If X represents a random number it would be XX3X.

.

Eg 1234

Answer:

Step-by-step explanation:

y = x+3  because when : x = 3        y = 3+3=6

y=2x     because when : x = 3        y = 2(3)=6

Answer:

= 10x² + 9x³

Step-by-step explanation:

I'm assuming you mean question 19

3x² + 5x³ + 7x² + 4x³    (rearrange to group like terms)

=3x² + 7x² + 5x³ + 4x³  (factor out common powers)

= (3+7)x² + (5+4)x³

= 10x² + 9x³

Answer:

The coordinates of Z are (2,7)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]Y=(\frac{x1+x2}{2} ,\frac{y1+y2}{2})[/tex]

we have

X(-10,9),Y(-4,8)

Let

(x2,y2) ----> the coordinates of Z

substitute the values

[tex](-4,8)=(\frac{-10+x2}{2} ,\frac{9+y2}{2})[/tex]

Solve for x2

[tex]-4=(-10+x2)/2\\-8=-10+x2\\x2=10-8\\x2=2[/tex]

Solve for y2

[tex]8=(9+y2)/2\\16=9+y2\\y2=16-9\\y2=7[/tex]

therefore

The coordinates of Z are (2,7)

Answer:  The required co-ordinates of Z are (2, 7).

Step-by-step explanation:  Given that Y is the midpoint of XZ  and the co-ordinates of X are (-10, 9) and the of Y are (-4, 8).

We are to find the co-ordinates of Z.

Let (a, b) represents the co-ordinates of the point Z.

We know that

the co-ordinates of the midpoint of a line segment with endpoints (x, y) and (z, w) are given by

[tex]\left(\dfrac{x+z}{2},\dfrac{y+w}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{-10+a}{2},\dfrac{9+b}{2}\right)=(-4,8)\\\\\\\Rightarrow \dfrac{-10+a}{2}=-4\\\\\Rightarrow -10+a=-8\\\\\Rightarrow a=-8+10\\\\\Rightarrow a=2[/tex]

and

[tex]\dfrac{9+b}{2}=8\\\\\Rightarrow 9+b=16\\\\\Rightarrow b=16-9\\\\\Rightarrow b=7.[/tex]

Thus, the required co-ordinates of Z are (2, 7).

Answer:

[tex]\boxed {\sf x=66^o}[/tex]

Step-by-step explanation:

Apply the properties of a triangle:-

Where, the sum of all internal angles of a triangle is always equal to 180°.

[tex]\sf 90^o+x+24^o=180^o[/tex]

Combine like terms.

[tex]\sf x+90+24=180^o[/tex]

Add numbers.

[tex]\sf x+114=180^o[/tex]

Subtract 114 from both sides.

[tex]\sf x+114-114=180-114[/tex]

[tex]\sf x=66^o[/tex]

Slope intercept form is y=-x-8.

Answer:

Step-by-step explanation:

The first step is to take p on both sides:

[tex]A - p = p + p*r*t - p[/tex]

On the right hand side, cancel p and -p, since [tex]p-p=0[/tex]. The equation will be:

[tex]A - p = p*r*t[/tex]

Then, divide both sides of the equation by p*t:

[tex]\frac{A-p}{p*t} = \frac{p*r*t}{p*t}[/tex]

On the right hand side, p*t can be cancelled:

[tex]\frac{A-p}{p*t} = r[/tex]

Answer:

r=A-p     (the line is the bar so this is a-p over pt)

    pt

Step-by-step explanation:

P + Prt = A

P r t=A −P            isolate the term which contains  r

P rt=A−P

divide pt by each side

Answer:

1) b 2) d 3) d

Step-by-step explanation:

Answer:

Rose wins the game, with 6 points over Lilly's 1 point.

Step-by-step explanation:

Let's find Lilly's score. In this example we will add together the gains first, so we wouldn't have to deal with negative numbers, and after, we subtract the losses of each person.

Lilly's points:

[tex]0 + 5 + 5 + 3 - 12 = 1[/tex]

Rose's points:

[tex]0 + 6 + 7 - 3 - 3 - 1 = 6[/tex]

Rose wins the game with a 5 point lead.

Lilly's score is 1 and Rose's score is 6. Therefore, Rose wins the game because 6 is greater than 1.

To find Lilly and Rose's score, we will create and solve an expression that reflects each player's game moves.

Lilly gains 5 points two times, loses 12 points, and then gains 3 points. We can express this as (5*2) - 12 + 3. First, we multiply 5 by 2, which equals 10. Then, we subtract 12 from 10, which gives -2. Finally, we add 3 to -2, resulting in a final score of 1 for Lilly.

Rose loses 3 points two times, loses 1 point, gains 6 points, and gains 7 points. We can write this as (-3*2) - 1 + 6 + 7. First, we multiply -3 by 2, which equals -6. Then, we subtract 1 from -6 yielding -7. After that, we add 6 to -7, getting -1. Lastly, we add 7 to -1, resulting in a final score of 6 for Rose.

Rose won the game because her final score of 6 is higher than Lilly's final score of 1.

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Answer:

Step-by-step explanation:

[tex]\frac{11}{7} * \frac{7}{33}[/tex]

[tex]\frac{11 * 7}{7 * 33}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]0.333[/tex]

Answer:

3/4

Step-by-step explanation:

3/4 is equal to 6/8 which is bigger than 5/8

6/8 > 5/8

Answer: 5/8

Step-by-step explanation:

3/4=0.8

5/8=0.7

being [tex]x^{2} +5x+6[/tex] the answer is (x-3)(x-2)

begin [tex]x^{2} -5x+6[/tex] the answer is (x+3)(x+2)

1. [tex]x^{2} +5x+6[/tex]

second grade formala is used

[tex]x= \frac{-b±\sqrt{b^{2} } -4ac}{2a}\\ x=\frac{-5±\sqrt{5^{2} } -4.1.6}{2} \\ x= \frac{-5±1}{2} \\ x_{1} =-3  \\  x_{2} =-2[/tex]