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Answer: y - 4x + 11 = 0

Step-by-step explanation:

Formula

             y₂ - y₁

y -  y₁ =  ---------     ₓ  ( x - x₁ )

             x₂ - x₁

y - y₁ = 4( x - x₁ )

substitute for the coordinate of x and y

y - (-3) = 4( x - 2 )

y + 3 = 4x - 8

      y = 4x - 8 - 3

     y = 4x - 11

The equation now becomes

   y - 4x + 11 = 0

Answer:

The value of x, y and z are:

[tex]x=91^{0}, y = 89^{0}, z=31^{0}[/tex]

Step-by-step explanation:

Label the image as given below.

Consider the triangle ABC.

Use the property: Sum of angles of a triangle is [tex]180^{0}[/tex], to determine the value of x as follows:

[tex]51^{0} +38^{0}+x =180^{0}\\x=91^{0}[/tex]

Use the property: Sum of angles on a straight line is [tex]180^{0}[/tex], to determine the value of y as follows:

[tex]x+y=180^{0}\\91^{0} + y = 180^{0}\\y=89^{0}[/tex]

Consider the triangle ADC.

Use the property: Sum of angles of a triangle is [tex]180^{0}[/tex], to determine the value of z as follows:

[tex]60^{0} + 89^{0} + z = 180^{0}\\z = 31^{0}[/tex]

Answer:

∠x = 91°

∠y = 89°

∠z = 31°

Step-by-step explanation:

x = 180 - (51 + 38) = 91

∠x = 91°

then to find the value of y = 180 - x

y = 180 - 91 = 89

∠y = 89°

z = 180 - (60 + 89) = 31

∠z = 31°

Answer: 1 bathroom 44/62=71%     2 bathrooms 18/62=29%

Step-by-step explanation:

Answer:

Of the apartments, about 71% have 1 bathroom  and about 29% have 2 bathrooms.

Step-by-step explanation: i took the test it was right :)

Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.

Step-by-step explanation:

Given,

Quantity of nuts to share = 1/3 cups of nuts

As Dion will share this with his brother, it means,

1 share of Dion, 1 share of his brother = 2 shares

We will divide the quantity of nuts with 2.

Share of each person = [tex]\frac{1}{3}*\frac{1}{2}[/tex]

Share of each person = [tex]\frac{1}{6}[/tex] cups of nuts

Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.

Keywords: fraction, division

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Answer: 6=1/6(9)

Step-by-step explanation:

Answer:

therefore for direct variation that will include the point (4, 16) is  y = 4x

Step-by-step explanation:

i) for direct variation we can say that y = k [tex]\times[/tex] x

ii) substituting the given values of x and y into the equation in i) we get

16 = k [tex]\times[/tex] 4

Therefore  k  = [tex]\frac{16}{4}[/tex] = 4

iii) therefore for direct variation that will include the point (4, 16) is  y = 4x

Answer

Step-by-step explanation:

Let Vidya's height be x

2x - 50

Answer: im not sure how you typed this but if its 1.2 x 3 then its 3.6

Step-by-step explanation:

Answer: $ 400

Step-by-step explanation:

Amount collected for new library = $ 3,200 and there are 8 classes and they collected the same amount. This means that each class will collect

3200/ 8 = $400

Answer:

x+y=6

Step-by-step explanation:

The standard form equation is ax+by=c.

Answer:

Around 8 pounds: A,NewBorn Baby    (I was 7.8 pounds)

Most likely used in inches: C,length of your nose      

Complete the statement. 8 c = C,4pt

7 3/5 ft = C

Little Explanation:

Around 8 pounds is a newborn because I was about 8 pounds, a large dog would weigh WAYYY more than that!

We might measure nose length with inches.  Centimeter might be used occasionally, but inches is more common.  (proccess of elimination)

2 Cups = 1 pint.   8 divided by 2 is 4.

1 yard is 3 feet, therefore you can only think it's 2 8/15

Contact for questions!!!

Final answer:

A newborn baby typically weighs 8 pounds. Inches are ideal for measuring the length of your nose. 8 cups convert to 4 pints and 7 3/5 feet is equivalent to 2 8/15 yards.

Explanation:

Understanding Weights and Measurements

Out of the given options, a newborn baby is likely to weigh about 8 pounds. This rules out the mother whale, large dog, and professional football player, as they all typically weigh significantly more than 8 pounds.

When it comes to measuring in inches, the length of your nose is the most appropriate of the given options. Width of a road, the length of a hallway, and the distance to the moon are all too large and would be better measured in feet, meters, or miles respectively.

For the conversion of cups to pints, we know that there are 2 cups in a pint. Therefore, 8 cups is equal to 4 pints because 8 divided by 2 equals 4.

Lastly, converting feet to yards for 7 3/5 feet to yards, we use the fact that 1 yard is equal to 3 feet. So, we divide 7 3/5 by 3, which gives us 2 8/15 yards.

To center a 14 3/4-inch-wide mirror on a 25-inch-wide wall, subtract the mirror's width from the wall's width and divide by two. There should be 5.125 inches of space on each side of the mirror.

Doris wants to make sure the mirror that is 14 3/4 inches wide is centered on a wall that is 25 inches wide. To find the width that should be on each side of the mirror, we need to subtract the width of the mirror from the width of the wall and divide the result by two. The calculation looks like this:

Therefore, there should be 5.125 inches of space on each side of the mirror.

Answer:

Step-by-step explanation:

[tex]-17(y-2)=-17y+64\qquad\text{use the distributive property}\\\\(-17)(y)+(-17)(-2)=-17y+64\\\\-17y+34=-17y+64\qquad\text{add}\ 17y\ \text{to both sides}\\\\-17y+17y+34=-17y+17y+64\\\\34=64\qquad\bold{FALSE}\\\\\bold{CONCLUSION:}\ \large\boxed{\text{no solution}}[/tex]

The equation -17(y-2)=-17y+64 have no solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

-17(y-2)=-17y+64

Now solving for y

-17y + 34= -17y + 64

0 = 30

As, there no variable left for which we have to find the value.

Hence, the equation have no solution.

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[tex](6^{2})^{4}[/tex] is the same as [tex]6^{8}[/tex]

[tex]6^{8}[/tex] = 1,679,616‬

Figures that can also be classified as a parallelogram include a square, rhombus, and rectangle due to their properties of having parallel opposite sides and specific angle characteristics.

Among the given figures, the ones that can also be classified as a parallelogram are square, rhombus, and rectangle. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. A square is a parallelogram with all sides equal in length and all angles equal to 90 degrees.

A rhombus is a parallelogram with all four sides of equal length; moreover, the diagonals of a rhombus are always perpendicular to each other due to the properties of the scalar product of vectors.

A rectangle is a parallelogram with opposite sides equal and all angles equal to 90 degrees. A trapezoid, right triangle, and pentagon do not fit the definition of a parallelogram because they do not have both pairs of opposite sides that are parallel.

Answer:

c

Step-by-step explanation:

c

Answer: x=-2+1/3

Step-by-step explanation:

We move all terms to the left:

2x-10-(5x-3)=0

We get rid of parentheses

2x-5x+3-10=0

We add all the numbers together, and all the variables

-3x-7=0

We move all terms containing x to the left, all other terms to the right

Answer:

108 ft

Step-by-step explanation:

18x2=36

36+36+18+18=108

Perimeter is the total added amount that surrounds the shape.

The length of the dog pen is twice the width, hence 36 feet. Using the formula for perimeter of a rectangle, the total perimeter of the pen is 108 feet.

To calculate the perimeter of a rectangle, we use the formula 2(length + width). Given the width of the dog pen is 18 feet, and the length is twice the width, we first calculate the length: 2 * 18 feet = 36 feet. With that, we can now calculate the perimeter: 2(18 feet + 36 feet) = 2 * 54 feet = 108 feet. Therefore, the total perimeter of the dog pen is 108 feet.

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Answer:

0

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite, sign change, and negation.

Hence, -96 + 96 = 0

Answer: -1 and +6

Step-by-step explanation:

Given :

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

re - writing the equation , we have

[tex]x^{2}[/tex] - 5x - 6 = 0

We will look for two factors that when multiplied will give -6[tex]x^{2}[/tex] and when added will give -5. The factors are +x and -6x

Then the equation becomes :

[tex]x^{2}[/tex] -6x + x - 6 = 0

factorizing , we have

x (x-6)+1(x-6) = 0

(x-6)(x+1) = 0

Therefore :

x - 6 = 0 or x + 1 = 0

Therefore :

x = 6 or x = -1

Therefore : the rots of the equation are -1 and +6

Answer: Each golf ball weights 45.93g

Step-by-step explanation:

divide 551.16 by 12

Answer:

Step-by-step explanation:

Solving [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex] we get [tex]x=\frac{77}{52}[/tex]

Step-by-step explanation:

We need to solve the problem: [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex]

Solving:

[tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)\\\frac{9}{4}(4x-1)=\frac{8}{5}(1+4x)\\9x-\frac{9}{4}=\frac{8}{5}+\frac{32x}{5}[/tex]

Add 9/4 on both sides:

[tex]9x-\frac{9}{4}+\frac{9}{4}=\frac{8}{5}+\frac{32x}{5}+\frac{9}{4}[/tex]

[tex]9x=\frac{8}{5}+\frac{9}{4}+\frac{32x}{5}\\9x-\frac{32x}{5}=\frac{8}{5}+\frac{9}{4}\\\frac{9x*5-32x}{5}=\frac{8*4+9*5}{20}\\\frac{45x-32x}{5}=\frac{32+45}{20}\\\frac{13x}{5}=\frac{77}{20}\\x=\frac{77}{20}\times \frac{5}{13}\\x=\frac{77}{4*13}\\x=\frac{77}{52}[/tex]

So, Solving [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex] we get [tex]x=\frac{77}{52}[/tex]

Keywords: Solving Fractions

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Answer:

28%

Step-by-step explanation:

Answer:

2130 feet per hour

Step-by-step explanation:

462*60; because your trying to find out how many feet per hour so you have to multiply 462 inches by 60 minutes because 60 minutes= 1 hour.

462*60= 27720

27720/12; because you want to find out how many feet and not inches, so you have to divide 27720 by 12 because there is 12 inches in one foot.

27720/12= 2130

so your answer is 2130 feet per hour. Hope this helps :D

Answer:

25 boys.

Step-by-step explanation:

To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.

Answer:

There are 25 boys in the class.

Step-by-step explanation:

9-5

9-5=18-10

9-5=27-15

9-5=36-20

9-5=45-25

45+25=70

Answer:

Option A [tex]\frac{4}{15\\}[/tex]

Step-by-step explanation:

4 infants + 11 toddlers = 15 children

4 infants / 15 children = [tex]\frac{4}{15}[/tex]

Answer:

The answer is B, or the second option: The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction..

Step-by-step explanation:

To solve the system of equations using the elimination method, we want to eliminate one variable by multiplying the equations by different numbers so that we can add or subtract them to cancel out one variable. In this case, we can multiply the first equation by 5 and the second equation by 2 to cancel out the y variable.

To solve the system of equations using the elimination method, we want to eliminate one variable by multiplying the equations by different numbers so that we can add or subtract them to cancel out one variable. In this case, we can multiply the first equation by 5 and the second equation by 2 to cancel out the y variable. After multiplying, we get:

10x + 15y = 60
10x - 2y = 26

Now we can subtract the equations to eliminate the y variable:

(10x + 15y) - (10x - 2y) = 60 - 26
17y = 34
y = 2

Substituting the value of y back into one of the original equations, we can solve for x:

2x + 3(2) = 12
2x + 6 = 12
2x = 6 - 6
2x = 6
x = 3

Therefore, the solution to the system of equations is x = 3 and y = 2.

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Final answer:

The elimination method in solving linear equations involves manipulating the equations to remove one variable, making it possible to solve for the other. It's a widely-used technique and usually applies to equations that are amenable to multiplication or subtraction for simplifying purposes.

Explanation:

The student seems to be asking about solving systems of linear equations using the elimination method. In this method, you manipulate the equations to eliminate one variable, allowing you to solve for the other. Elimination is particularly useful when equations are in a form that allows for straightforward manipulation, like when coefficients of variables are opposites or can be made so through multiplication.

For example, if we have the equations 7x - 2y = 24 and 3x + 9y = 30, we can multiply the first equation by 3 and the second by 7 and then subtract one from the other to eliminate the variable y:
21x - 6y = 72
21x + 63y = 210
Subtracting these two equations gives us:
-69y = -138
Which simplifies to y = 2. Once y is found, substitute it back into one of the original equations to solve for x.

[tex]\[21x - 6(2) = 72\]\[21x - 12 = 72\]Now, let's solve for \( x \):\[21x = 72 + 12 = 84\]\[x = \frac{84}{21} = 4\][/tex]

So, the solution to the system of equations is [tex]\( x = 4 \) and \( y = 2 \).[/tex]

Answer:

x < 6

Step-by-step explanation:

treat it as a normal equation

Answer:

Below is the complete answer.

Step-by-step explanation:

Given the row of numbers

25060 12315 86244 97348 36173 32710 80033 16160

As we have to generate 12 random numbers between 01 and 99 from the above row of numbers.

Minimum Value = 01

Maximum Value = 99

25060

Lets take 25060 as seed in the calculator as

25060 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

85 90 62 45 26 97 40 55 67 17 10 32

12315

Lets take 12315 as seed in the calculator as

12315 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

33 20 26 68 73 09 46 14 82 74 17 04

86244

Lets take 86244 as seed in the calculator as

86244 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

54 93 02 50 37 01 86 51 38 28 23 36

97348

Lets take 97348 as seed in the calculator as

97348 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

04 79 01 86 51 02 50 37 38 28 23 36

36173

Lets take 36173 as seed in the calculator as

36173 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

13 03 28 17 14 31 98 47 40 48 68 19

32710

Lets take 32710 as seed in the calculator as

32710 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

22 80 42 03 27 89 98 46 14 31 72 56

80033

Lets take 80033 as seed in the calculator as

80033 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

29 86 51 01 23 64 37 36 35 72 14 59

16160

Lets take 16160 as seed in the calculator as

16160 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

93 54 72 58 30 14 48 87 99 95 83 29

Keywords: number, random number generator

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Answer:

Step-by-step explanation:

Hdheidncnfjxhxjd

Answer: Just do 2x4 to get the answer.

Step-by-step explanation: