Calculate the value of a in the triangle below.
15 cm
12 cm
a cm

The greatest common monomial factors for the above equation is: x = 0

What is monomial factor?

Monomial equations in mathematics are quadratic equations with a greatest degree of one. These expressions are classified as monomial, binomial, trinomial, etc. and fall within the category of polynomial equations.

The answer to the query provides the following equation for the greatest common monomial factor:

Required formula: 12x2 + 48x4.

[tex]12x^{2}+ 48x^{4}=12x^{2}(1+48x^{2})[/tex]

Now, equate the calculated equation to zero:

[tex]12x^{2}(1+48x^{2})=0[/tex]

Hence, the greatest common monomial factors for the above calculated equation is: x = 0

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Answer:

20.40

Step-by-step explanation:

The expression in the form of equation can be simplified as: 7w - 12y + 18

What is equation?

In mathematics, the statement based problems can be solved by forming the equations. And the equations consist of dependent variable as well as independent variables. It is calculated by equating the terms to zero.

According to the question, the given expression in the form of equation is as follows:

Required expression: 8w - 12 y + 15 divided by 3 + w - 6

The given expression can be re-written as:

Required expression: (8w - 12y + 15)/(3 + w - 6) = 7w -12y +18

Hence, the expression in the form of equation can be simplified as:

7w - 12y + 18

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Answer:

x+2y=8

Step-by-step explanation:

Answer:

A=20.8cm

A = 1/2 * base * height

A= 1/2 * 8 * 5.2

Answer:

7788987797998789878888878999999

Answer:

You can bake 96 cookies in 32 minutes.

Step-by-step explanation:

Since we are given "if you can bake 15 cookies in 5 minutes" you dived 15 by 5 to find the unit rate. 15÷5=3

Since 3 is the unit rate we multiply it by 32, to get 96.

3×32=96

In other words, the unit rate is how many cookies you can make in a minute.

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Answer:

What the first guy said.

Step-by-step explanation:

Answer:

joe

Step-by-step explanation:

Answer:

100 feet per minute

There are 2 pictures.

1. (x,y)=(-1,5),(0,2),(1,-1),(2,-4). Option -3 is correct.

2. The slope of the line is 4/3. Option-1 is correct.

Given that,

There are 2 pictures.

In the first picture we have to find which table satisfy the equation.

In the second picture we have to find slope of the given graph.

First,

The given equation is y=-3x+2

In every option the x values are same that is -1,0,1,2.

Substitute x value as -1,0,1,2

Taking x as-1

y=-3(-1)+2

y=3+2

y=5

Taking x as 0

y=-3(0)+2

y=2

Taking x as 1

y=-3(1)+2

y=-3+2

y=-1

Taking x as 2

y=-3(2)+2

y=-6+2

y=-4

Therefore, we got (x,y)=(-1,5),(0,2),(1,-1),(2,-4). Option -3 is correct.

Now, We see the second picture.

Given line point are (2,2) and (-1,-2)

Slope of the line formula is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope =(-2-2)/(-1-2)

Slope=-4/-3

Slope=4/3

Therefore, the slope of the line is 4/3. Option-1 is correct.

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Answer:

2.5 trundle beds assembled per shift

Step-by-step explanation:

5/6 to 1/3 (How many trundle beds Rocco assembles in 1/3 of a shift)

5/2 to 1 (multiply by 3 to both numbers)

2.5 to 1 (convert 5/2 into a decimal)

The coordinate of the intercepts of the graph are (0, -1) and (1/3, 0).

The equation of the line is given as;

y = 3x - 1.

For x-intercept put y = 0;

0 = 3x - 1.

x = 1/3

x-intercept = (1/3, 0)

Now, for y-intercept, put x = 0.

y = 3x0 - 1

y = -1

y-intercept = (0 , -1)

Thus, the coordinates of the intercepts are (0, -1) and (1/3, 0).

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Answer:

Please see attachment for explanation and answer.

Answer:

Angle 2 + Angle 3 = 180 degrees

Step-by-step explanation:

Brainliest please!

Answer:

6

Step-by-step explanation:

first you have to find the side length. Since it is a square all 4 sides are equal and since the total length of the sides is 24, then the length of one side is 24/4= 6.

Answer:

you didnt open the opshens so i cant help you

Answer:

Both are correct

Step-by-step explanation:

Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

Given information:

Jared found that  for one equation and substituted  for y in the other equation.

Nicole found  for the one equation and substituted  for x in the other equation.

So, there are two equations. Based on the question, the equation should be,

and .

Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.

This method is the substitution method which is used to find the solution of the system of equations.

Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

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Answer:

9

Step-by-step explanation:

5p=15, 15/5=3 so p=3

to find how many pounds (p) for 27, use the equation:

3x=27

27/3= 9

5x3=15

9x3=27

Answer: Point B

Step-by-step explanation:

Answer:7+5y

Step-by-step explanation:

3+4=7

4y+y=5y

A quotient of a number and -1.5 is 21 hence it is 21 = - 1.5D and D = - 14.

An expression is a mathematical way of writing variables and constants separated by the operation of addition and subtraction. Unlike equations in expressions, we do not equate the terms to zero.

We know N = DQ + R.

Where N = The number itself, D = Divisor, Q = Quotient and,

R = Remainder.

Given, A quotient of a number and -1.5 is 21.

Let the number be D.

∴ 21 = - 1.5D

D = - 21/1.5.

D = - 14.

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The height of the flagpole will be 9.25 m to the nearest hundredth of a meter.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

Given that, after moving a mirror with an X in the middle to a level position on the ground 8.85 metres away from the flagpole.

The top of the flagpole is then plainly indicated in the X as she moves 1.1 metres to the opposite side of the mirror. Her companion calculates that there are 1.15 metres between her eyes and the ground.

From the similarity of two triangle,

1.15 / h = 1.1 / 8.85

1.1 h = 1.15 × 8.85

1.1 h = 10.1775

h = 9.25 m

Thus, the height of the flagpole will be 9.25 m to the nearest hundredth of a meter.

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The box-and-whisker plot of the data is given below.

What is box-and-whisker plot?

When we plot a graph for the box plot, we outline a box from the first quartile to the third quartile. A vertical line that goes through the box is the median. The whiskers (small lines) go from each quartile towards the minimum or maximum value.

Given data is

12,5,22,30,7,36,14,42,15,53,25

First we will arrange it in ascending order.

5,7,12,14,15,22,25,30,36,42,53

The maximum and minimum value are 5 and 53.

First quartile is 3 and third quartile is 9

median is 22 (middle term).

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From the table we notice that we survey a total of 26 students; 4 of them have sisters and brothers, therefore the probability we are looking for is:

The probability of putting less than 31 ounces in a cup is 0.9773.

The standard score is the number of standard deviations that a raw score deviates from or exceeds the mean of the thing being measured or observed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

A soft drink machine's output is normally distributed.

The mean is μ = 27 ounces per cup.

The standard deviation, σ = 2 ounces.

The z score when x is a random variable that represents the output of the machine will be given as:

Z = ( X - μ)/σ

Z = ( 31 - 27)/2

Z = 4/2

Z = 2

Then the probability of putting less than 31 ounces in a cup using the p-value from the Z table will be:

P( X < 31 ) = 0.97725

P( X < 31 ) ≈ 0.9773

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The value of the first term is -8.

Here it is given that the series is in an arithmetic sequence.

The formula for the sum of a series in an arithmetic sequence.

[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)

n = number of term

d = common difference

a = first term of a sequence

[tex]S_{n}[/tex]= sum of n number of terms

It is given that sum of 26 number of a term is 1417, and the sum of first 8 number of a term is 76.

So from that, we have two equations by putting the term in the equation

1417 = 26/2( 2a + (26-1)d)

1417 = 13(2a + 25d)

109 = 2a + 25d .........(1)

76 = 8/2( 2a + (8-1)d)

19 = 2a + 7d ..........(2)

Now subtract equations (1) and (2) we get

90 = 18d

d = 5

Now put the value of d in equation (2), we get

19 = 2a + 7× 5

19 - 35 = 2a

2a = -16

a = -8

Therefore the first term of the sequence is -8.

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The coordinates of the image of point B after the transformations is (4,3) .

What are the coordinates?

Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space latitude and longitude coordinates.

Hence, the coordinates of the image of point B after the transformations is (4,3).