what is the height of figure 1?

The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

If the square root of an echo number is a natural number, the echo number has a perfect square. We discovered that echo number 202320232023202320232023  is a perfect square after a few iterations:

√202320232023202320232023 = 449800213454.

The perfect square of the integer 449800213454.1 is the echo number 202320232023202320232023.

Therefore,To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

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Maria is not correct. Just because two sides of a triangle measure 8 inches, it does not mean that the triangle is isosceles.

An isosceles triangle is a triangle in which two sides are congruent, meaning they have the same length. However, just because two sides of a triangle have the same length, it does not necessarily mean that the triangle is isosceles.

There could be a third side with a different length. Therefore, it is a possibility that the third side of the triangle is not 8 inches, hence the triangle is not isosceles.

To confirm if a triangle is isosceles, we must measure all three sides and if two sides are congruent then it's an isosceles triangle.

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Answer:

Step-by-step explanation:

The sum of the squares of the shorter sides is equal to the square of hypotenuse!

Answer:

no it is not a solution

Step-by-step explanation:

to determine if (- 5, 4 ) is a solution to the system, substitute the x- coordinate x = - 5 into the right side of both equations and if the value obtained is equal to the y- coordinate y = 4 then it is a solution.

Note that this must be true for both equations

y = 3(- 5) + 19 = - 15 + 19 = 4 ← True

y = - 2(- 5) - 7 = 10 - 7 = 3 ≠ 4 ← False

thus (- 5, 4 ) is not a solution to the system of equations.

This is the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

The standard form equation of a circle is [tex](x - h)^{2}[/tex] + [tex](y - k)^{2}[/tex] = [tex]r^{2}[/tex], where (h, k) is the center of the circle and r is the radius.

Given the center of the circle as (7, 14) and a point on the circle as (4, 15), we can use the distance formula to find the radius:

r = [tex]\sqrt{(4 - 7)^{2} + (15 - 14)^{2} }[/tex] =  [tex]\sqrt{(-3)^{2} + (1)^{2} }[/tex]= [tex]\sqrt{9 + 1}[/tex] = [tex]\sqrt{10}[/tex]

So the standard form equation of the circle is:

[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = [tex]\sqrt{(10)^{2} }[/tex]

Which can be written as:

[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

So the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

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Therefore , the solution of the given pentagon is the wall has a square footage of 80.7293. Asher requires four cans in total.

A polygon with five sides and five angles is called a pentagon. Penta and Gonia, two words that each denote five angles, are the components of the word "pentagon." The shape is created when the sides of such a pentagon come together at their ends.

Here,

Given that a storage shed's wall has a pentagonal shape.

A pentagon's surface can be separated into two shapes. The first shape is a rectangle, while the second is a triangle.

The rectangular shape measures 1+1+1 = 3 meters in length.

(1 + 1) = 2 metres is the width.

3 x 2 = 6 square meters make up the space of the rectangle.

Three meters make up the triangle's base.

The triangle measures 1 meter in height.

The triangle's area is 1/2 base, 1/2 height, or 1/2 x 3-1, or 3/2 square meters.

The pentagon's total area is 7.5 square meters, or 6 + 3/2 square meters.

10.7639 square feet are equal to 1 square meter.

(7.5 x 10.7639) square feet are equal to 7.5 square meters.

= 80.7293 square meters

24 square feet are covered by one can of paint.

He requires 80.7293/24 = 3.36 square feet in order to cover it.

Therefore, he requires a minimum of 4 cans oil paint.

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Answer:

I think it's clear that it's A. Computers depend of you input

Answer: it’s 3t - 6

But here’s how I got that

Step-by-step explanation:

The distance from here to earth is 2.48 x 10^13 miles.

Scientific notation is used compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 3 x 10² is equivalent to 300.

Distance is the product of rate and time.

Distance = rate x time.

( 3.7*10^4) x (6.71*10^8)

(3.7 x 6.7) x 10^[4 + 8]

24.827 x 10^12

2.48 x 10^13 miles

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Answer:

15x + 12

Step-by-step explanation:

-3(-x-4) + 12x

3x + 12 +12x

15x + 12

We can't simplify anymore, so the answer is 15x + 12

Answer:

x² + 6² = 17²

6² + x² = 17²

Step-by-step explanation:

Pythagoras Theorem defines the equation of opposite² + adjacent² = hypotenuse². To make it simple, it's basically base² + height² = slope². Therefore:

[tex] \displaystyle{ {x}^{2} + {6}^{2} = {17}^{2} }[/tex]

Or you can also form as

[tex] \displaystyle{ {6}^{2} + {x}^{2} = {17}^{2} }[/tex]

Therefore, there are two correct answers here.

Answer:

-12<=n<=-7

Step-by-step explanation:

The bases of a trapezium are parallel to each other.

The line x is parallel in this trapezium.

Hence,

Given two sides

I think you should provide extra information for correct answer.

that the angles etc.

Answer: By the Remainder Theorem, the remainder when f(x) is divided by x-2 is f(2)

Step-by-step explanation:

subtraction addition  is commutative for rational numbers Class 8

LHS means left-hand side of the equation and RHS means right-hand side of the equation

3c(-5) = (-5)3c

The LHS of the above expression can also be written as 3 * c * (-1) * 5

The RHS of the above expression can also be written as (-1) * 5 * 3 * c

Since, this expression involved multiplication, it will definitely represent a multiplicative property. Since the order of the numbers that are being multiplied has been changed between LHS and RHS, and it is yielding the same result, it indicates that this is the commutative property of multiplication. This property states that a group of numbers can be multiplied in any order. Hence, the answer is C.

8+3.4=3.4+8

In the above, the order of the numbers being added has been changed across RHS and LHS, but is yielding the same result, it is representing the commutative property of addition. This property states that a group of numbers can be added in any order. Hence, the correct answer is C.

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Using the indirect measurement, the height of pole is obtained to be 21 ft.

What is indirect measurement?

Using various measurements to determine the required measurement is known as indirect measurement.

Height of the fire hydrant, hf = 3ft

Height of the shadow of the fire hydrant, h'f = 4 ft

Height of the pole, hp = x

Height of the shadow of the pole, h'p = 28 ft

Both the shadows are casted at the same time, i.e. 4 pm.

So, use the method of indirect measurement -

hf/h'f = hp/h'p

3/4 = x/28

x = (3 × 28)/4

x = 84/4

x = 21

Therefore, the height of pole hp = 21 ft.

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Answer:

Hence we can see that, when two lines are perpendicular to each other, they form 4 right angles (90 degrees).

On solving the provided question we can say that the value of x is in parallel line is  equal to 36.

Real-world examples of parallel lines include railroad tracks, sidewalk margins, street markings, zebra crossings, the surfaces of pineapple and strawberries, stairs, railings, etc. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.

All three line are parallel to each other. so, that ratio of 40/24 is equal to 60/x.

40/24 GO/x

x = (60 24)/40

x=36

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In the equation for total cost c = 1.5x + 6.99, 1.5 represents the cost of per song downloaded.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation for total cost per month is c = 1.5x + 6.99.

Where x represents the number of songs Kaj downloads and c represents the total cost, in dollars and cents.

So, c and x are variable components of the equation.

There are only two fixed components in the equation 1.5 and 6.99.

Since number of songs downloaded x is multiplied by 1.5, so 1.5 is the cost of per song downloaded.

Hence, 6.99 becomes the fixed monthly membership cost of the music service.

Therefore, 1.5 is cost of per song downloaded.

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Answer:

50%

Step-by-step explanation:

Divide the number of glass beads by the total number of beads:

75 glass beads / 150 total beads =

75 glass beads / 150 beads =

75/150 =

1/2 =

0.5 =

0.5 * 100% =  ==> 100% = 1

50%

The total cost of good will equals to $33.64 after considering the 20% discount he had at the pharmacy.

A loyalty card is an identity card issued by a retailer to its customers as a form of consumer incentive scheme in which credits are accumulated for future discounts with each transaction.

Now, we will have to calculate the total cost of all the items he wants to buy after considering the 20% discount.

First, we will calculate the discounted amount:

= 20% * $42.05

= $8.41

Second, we will calculate the new amount of cost:

= $42.05 - $8.41

= $33.64

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No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.

Standard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.

For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).

It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.

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The equation into standard form is x = 4

From the question, we have the following parameters that can be used in our computation:

0 = x - 4

A linear equation in standard form is represented as

Ax + By = C

So, we have

0 = x - 4

Rewrite as

x - 4 = 0

Add 4 to all sides

x = 4

hence, the equation is x = 4

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Answer:

5/4

Step-by-step explanation:

A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.

Please let me know if this helped!!!

A line intersects the point and is perpendicular to y=(x / 4)-2. (4,-1). y=15-4 x is the equation for this perpendicular line.

In order to determine the equation for the line perpendicular to the line [tex]$y=\frac{x}{4}-2$[/tex]passing through the point (4,-1)

The slope-intercept version of the equation for the line is [tex]$y=\frac{x}{4}-2$[/tex].

Inversely, the perpendicular line has a negative slope of m=-4.

Consequently, the perpendicular line's equation is y=-4 x+a.

Using the notion that the line should pass through the specified location, we can use the formula [tex]-1=(-4) \cdot(4)+a[/tex] to determine a.

Thus, a=15. The line's equation is therefore y=15-4 x.

Lines that cross at a straight angle (90 degrees) are said to be perpendicular. Many perpendicular lines can be seen in the actual world. Examples include the edges of a set square, a clock's arms during particular times of day, the corners of a blackboard, a window, and the Red Cross emblem.

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To begin, determine the absolute value of each integer. After that, multiply or compute the product of the absolute numbers. Finally, identify the final answer's sign. According to the rule, if the signs of the two numbers vary, the final result will be negative.

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule. A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of whole numbers and their inverses is known as the integers. The set of integers does not include fractions or decimals.

Here,

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule.

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