Factorise a^2/8 - b^2/18

Answer:

m represents the slope.

Step-by-step explanation:

m represents the slope. To find the slope, you can use the slope formula.

m=slope

b=y-intercept.

Hope this helps!

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When a portion of an original figure corresponds to a portion of a duplicate, we refer to them as corresponding parts. This could be in the form of points, segments, angles, or distances.

Parts that match between two congruent triangles are said to as matching. You can identify the corresponding angles and sides.

Triangles are congruent when all 3 types of corresponding sides are congruent. Two triangles have three sides that are equivalent.

The equals sign with a squiggly line on top indicates that the items on each side of the equation were congruent. Then, identify the corresponding sides. Corresponding sides are sides that match between two triangles. Congruent triangles will have the same length.

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The true statements are: (A), (D), (E) and (F).

Statement A is true. A triangle is said to be isosceles if its two sides are of equal length. Considering the triangle STU, the sides ST and TU are the radius of the same circle centered at T and hence of same length. So triangle STU is isosceles.

Statement B is false. In triangle STU, ST and TU being radii of circle T, are equal. But the third side SU is not a radius of any circle in the diagram and so not equal to ST and TU. Since three sides are not of same length, triangle STU is not an equilateral triangle.

Statement C is false. In Triangle STU two sides are composed of a single radii and not of two radii. The third side is not composed of radii.

Statement D is true. In triangle STU, two sides are radii of circle T but the third side, segment SU, is not a radius of any circle shown in the diagram.

Statement E is true. In triangle VWZ, each side is composed of 2 radii which are of same length. Hence three sides are equal and so it is an equilateral triangle.

Statement F is true. Each side of triangle VWZ is composed of two radii that have the same length.

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On the number line, It is true to the claim that the solution to the expression 32 + (-17) is 17 units from 32 in the positive direction.

A number line is an illustration of a graded straight line that represents actual numbers. What we call a "number line" is really a horizontal line with regularly spaced number increments. The number line's response format is determined by the numbers it contains.

All possible numbers may be plotted along a line called a number line. Any real number may be represented by a single dot on a number line.

On the number line, we have the negative numbers on the -ve x-axis to the left and they are smaller than the positive numbers to the right, and this is immediately apparent when looking at a number line.

Given that:

= 32 + (-17)

= 32 - 17

= 17

We can therefore conclude that the given expression shows that we are 17 units far away from 32 in the positive x-axis on the number line.

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The formula for calculating the probability of one success under certain conditions is:

x=0.4.

"The ratio of the number of favorable outcomes to the total number of outcomes is the standard mathematical definition of probability. Probability is never more than one, and it is never equal to that number."

Generally, the equation for Probability is  mathematically given as

Probability [tex]$={ }^n C_r p^r q^{n-r}$[/tex]

According to the question,

Total number of trials n'=4

Number of successes r =1

p=0.35

q=1-0.35

q=0.65

Simply replace the value in order to calculate the appropriate probability.

[tex]\text { Probability } &={ }^4 C_1(0.35)^1(0.65)^{4-1} \\[/tex]

[tex]&=\frac{4 !}{(4-1) ! 1 !} \times \frac{35}{100} \times\left(\frac{65}{100}\right)^3 \\[/tex]

[tex]&=4 \times \frac{35}{100} \times \frac{274625}{1000000} \\[/tex]

=0.384475

=0.4

Hence, the probability of 1 success as per the given condition is equal to 0.384475= 0.4.

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Some basic concepts and properties based on bar graph and histogram are discussed underneath.

What is a bar grapht?

A bar graph is generally used to illustrate the entire data in the form of rectangular bars. It is also known by the name bar chart. There occur some gap between the two consecutive bars.

What is a histogram?

A type of graph used to depict the frequency of each class with the numerical data. In histogram,  the class intervals have equal sizes and there do not exist any gap between the bars in a histogram.

Fill in the blanks using appropriate term

A __bar graph__ displays the frequency of each class with qualitative data and a _histogram_ displays the frequency of each class with quantitative data.

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Answer:

x=2

Step-by-step explanation:

2x+3=7

2x=7-3

2x=4

x=4/2=2

x=2

so let x be 2

2x2+3=7

The price of each book and pencil is $16 and $4, respectively.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

First, you should convert the text of the question into a math expression. Then,

       5B+3L=92, where B= libretas  and L=lápices.

       2B+6L=56, where B= libretas  and L=lápices.

Therefore,

5B+3L=92 (1)

2B+6L=56  (2)

After that, you should multiply equation(1) by -2. Thus,

-10B-6L=-184(1)

2B+6L=56  (2)

Now, when you sum equations 1 and 2, you  eliminate L . Thus, from this sum, you will have:

-8B=-128

B=128/8

B=16

If B=16, from equation 2, you can find L.

2B+6L=56  (2)

2*16+6L=56

32+6L=56

6L=56-32

6L=24

L=4

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Angie would take 75 minutes to mow the lawn by herself.

To find out how long will Angie take to mow the lawn:

Let's take Angie's time as x.

Now, multiply by 50x to obtain:

Therefore, Angie would take 75 minutes to mow the lawn by herself.

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The correct answer is (4x^3 - 8x^2 )

Solve by using Foil's Method

Multiply (x - 3)(4x^2)

Begin, by multiplying together, the first terms of binomial

= x * 4x^2 = 4x^3

Now, multiply the last term of binomial.

= -3 * 4x^2 = -12x^2

Sum up the partial products starting from the first to last product from the first to last product and collect it:

=(4x^3 - 8x^2 )

Now, Let us know

What is Foil's Method ?

FOIL a mathematical series of steps used to multiply two binomials.

By definition we have the meaning of FOIL is given by:

F: First

O: Outer

I: Inner

L: Last

Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).

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Answer: four less than three times a number is 3x - 4. the number plus ten is x + 10. the same means the two statements are equal to each other.

Step-by-step explanation:

Similarity: Both are monotonous functions.

Difference: The parent radical function is a decreasing expression and the parent radical function is an increasing expression.

Herein we must describe a difference and a similarity between the parent radical function and the parent exponential function, whose definitions are presented below:

Parent radical function

f(x) = √x

Parent exponential function

f(x) = eˣ

One similarity between these two parent functions is that are monotonous functions and one difference is that the parent radical function is a decreasing expression whereas the parent radical function is an increasing expression.

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[tex] - 6n - 9 - 9n = - 24 \\ - 15n = - 24 + 9 \\ - 15n = - 15 \\ 15n = 15 \\ n = \frac{15}{15} = 1[/tex]

After converting all the given units of length into meters we get,

[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\1 yd= 0.9144m[/tex]

As per the question statement, we are supposed to convert these given units of length into meters i.e., 108 inches, 108 feet, 12 feet, 1 yard.

We know

[tex]1 foot = 12 inches[/tex]

[tex]1 inch = 2.54 cm\\[/tex]

[tex]12 inches = 2.54*12=30.48 cm\\1 cm = 0.01 m \\30.48 cm = 0.3048 m[/tex]

Therefore, we can infer that 1 foot = 0.3048 m

So,

[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\[/tex]

Now it is a standard that 1 yard equal to 0.3048 meter

This question is a classic example to the conversion of length from one unit to another.

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Answer:

x * 5

Step-by-step explanation:

prosucts refer to multiplication

Answer:

1106.4.

Step-by-step explanation:

10*3 = 1000

106.4 + 1000

= 1106.4.

Answer: 1106.4

Step-by-step explanation:

[tex]106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4[/tex]

Answer:

The child grew 8 inches. Hope this helps.

The numbers from least to greatest are -

square root of 7, 2.8, square root of 7 and 4.6.

Descending pattern is defined as it is when numbers (and other objects) are arranged in descending order from the largest to the smallest numbers.

Ascending is defined like when numbers (or even other items) are positioned in ascending order from the smallest to the largest numbers.

We have the numbers provided as;

4.6, 2.8, square root of 17 and the square root of 7.

Then,

square root of 7

√7 = 2.645, and

square root of 17

√17 = 4.123

Thus, the given series becomes;

4.6, 2.8, 4.123, 2.645.

Now, arranging them according to ascending order (least to greatest).

2.645, 4.123, 2.8 and 4.6.

Therefore, the series becomes; square root of 7, 2.8, square root of 7 and 4.6.

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The coordinate of the midpoint of line JK is; (3, 1)

We want to find the midpoint of the line stack JK with bar on top.

The coordinates of the line are;

J(-1,3), K(7,-1)

Now, the formula to find the midpoint is; (x, y) = (x1 + x2)/2, (y1 + y2)/2

Thus, the coordinates of the midpoint of the line are;

(x, y) = (-1 + 7)/2, (3 - 1)/2

(x, y) = 6/2, 2/2

(x, y) = (3, 1)

Thus,the coordinates of the midpoint of line JK is; (3, 1)

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Answer:

Screenshot

Step-by-step explanation:

The y-intercept is -5 so the line hits the y-axis at -5. The slope of the line is 1/2 so the line goes up one and to the right two each time.

Answer:

1/6

Step-by-step explanation:

1/2 * 1/3 = 1/6

He ate 1/6 of the whole pan.

The value of x from the figure shown is 2.19

According to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.

From the given diagram, the expression below is true;

6^2 = 3^2 + (3+x)^2

Determine the value of x

36 = 9 + (9+6x + x^2)

36 = 18 +6x+x^2

x^2 + 6x - 18 = 0

On factorizing, the value of x is expressed as;

x = -3 + 3√3
x = -3 + 3(1.732)

x = 2.19

Hence the value of x from the figure shown is 2.19

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The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

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Answer: x has no solutions

Step-by-step explanation:

|x-1| + 5 = 2

|x-1| + 5 - 5 = 2-5

|x-1| + 5 - 5 = -3

|x-1| = -3 ==> Absolute value functions can't be negative. Hence, there is no solution.

x has no solutions

The percentage increase in the value of the stock is 14.62%.

Thw.investor has an account with stock from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450.

The percentage increase will be:

= Change in value / Initial value × 100

= (7450 - 6500) / 6500 × 100.

= 950/6500 × 100

= 14.62%

Therefore, percentage increase in the value of the stock is 14.62%.

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An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450. Calculate the percentage increase.

The claim that a researcher may infer a causal link between variables if one effects another is False.

If a change in one variable's level results in a change in the other variable, then there is a causal relationship between the two variables. Keep in mind that correlation does not always imply causation. Two variables may be linked together without one of them directly contributing to the other's observable behavior.

For instance,

the chart below illustrates the relationship between ice cream sales and temperature. Any business can utilize the concept of causality. As is clear from the graph, there is a correlation between warmer weather and increased sales.

A casual relationship between two variables only exists when one of the variables actually causes the other to exist, which does not appear to be the case here. Instead, since a change in one variable affects the other, this scenario can be thought of as a correlated relationship.

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I understand that the question you are looking for is:

a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided.(True/False).