It is a function. Remember that as long as the x values are not repeating, it is a function

Can someone help me and show the work

ans is 90 and 30

**Step-by-step explanation:**

LN=90° (right angle)

MN=30°(DO THE MATH)

A man weighs 95 kg and starts an exercise and eating programme to lose weight. If he sticks to the programme, he will lose 0,4 kg per week. Calculate how much he will weigh after 36 weeks.

The **weight** after 36 weeks is 80.6 kg.

An expression is a combination of **terms** that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, a man weighs 95 kg and starts an exercise and eating programme to lose weight.

Let the number of weeks be x.

Now, the **expression** is 95-0.4x

Here, x=36

95-0.4×36

= 95-14.4

= 80.6 kg

Therefore, the **weight** after 36 weeks is 80.6 kg.

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What is an equation of the line that passes through the points (3, 3) and (-1, 7)?

**Answer:**

the equation of the line = y + x -3 -3 = 0

**Step-by-step explanation:**

Equation of the line is give n by the formula

y - y¹ = m

x - x¹

note: m is the gradient.

Point = (3, 3) and (-1, 7).

Gradient =m= y2 - y1 = 7 - 3 = 4 = -1

x2 - x1 -1 -3 -4

the equation of the line

y - y1 = m

x - x1

y - 3 = -1

x - 3

note: Perform cross multiplication also remember every whole number is over one.

=y - 3 = -1 (x - 3)

=y - 3 = - x + 3

y + x - 3 - 3 = 0.

What is a polygon with 4 called?

A 4 polygon is a **two-dimensional shape** with four sides and four angles.

**Polygon** is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), **pentagons** (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.

It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.

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When a scaled copy is bigger than the original The scale factor is greater than 1?

The **scaled** copy is bigger that means each side is bigger than the original one or the factor is grater tan 1 as final length(bigger)/ original > 1

In mathematics, a dilation is the enlargement or contraction of a figure by a predetermined **scale factor**, k, at or around a center of dilation. It is a transformation style that yields comparable figures.

Depending on the scale factor, the original figure will either enlarge or decrease in size. Scaling, also known as **dilations**, has no impact on how angles are measured.

The original and updated figures' angles will not change because the size has not changed but the shape has. Preimage and image are two terms that can be used to describe the first and new figures, respectively.

The original figure's vertices are identified with capital letters, such as B, to make it easier to identify between two similar figures.

The scaled copy is bigger that means each side is bigger than the original one or the factor is grater tan 1 as final length(bigger)/ original > 1

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NEEDS HELP ASAP Figure B is a scaled copy of Figure A.

What is the scale factor from Figure to Figure B

**Answer: 3**

**If you look at the left-most side on figure A, youll notice that it is 2 units long. On figure B, it is 6 units long. 2*x=6 where X is the scale factor. You'll find that X=3. YW BRO**

Sydney is playing a game. She draws a fraction card labeled, Then she rolls a number cube labeled 1 through 6. sydney mutuplles the fraction b. the number rolled. If her score is greater than 1. she gets another turn. If her score is less than or equal to 1. her turn is over. What is the lowest number that Sydney can roll to get another turn? Enter the answer in the box.

**Answer: To get another turn, Sydney's score must be greater than 1. Therefore, to find the lowest number that Sydney can roll to get another turn, we need to find the smallest number that, when multiplied by the fraction on the card, will give a result greater than 1.**

**It's not mentioned which fraction card Sydney drew, so we can assume any fraction.**

**Let's assume the fraction card is labeled 1/4.**

**To get another turn, Sydney's score must be greater than 1. Therefore, we need to find the smallest number that, when multiplied by 1/4, will give a result greater than 1.**

**1/4 * x >1**

**x > 4**

**so the smallest number that Sydney can roll to get another turn is 5.**

**It should be noted that this is assuming that the fraction card is labeled 1/4 , if the fraction card is labeled with any other fraction the answer would be different.**

**Step-by-step explanation:**

State whether a dashed line or solid line would represent the graph of each inequality.

Part A: y > 2x − 9

b- y − 6 ≤ x

In part A; The graph of **inequality **y > 2x - 9 shows the **dashed **line.

And, In part B; The graph of inequality y - 6 ≤ x shown the **solid** line.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The **inequality **are,

Part A: y > 2x − 9

Part b; y − 6 ≤ x

Now,

In part A; The inequality '<' used which represent the dashed line

And, In part B; The inequality ≤ used which represent the solid line.

Hence, The graph of **inequality **y > 2x - 9 shows the dashed line.

And, The **graph **of inequality y - 6 ≤ x shown the solid line.

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What are 4 ways to find a midpoint?

The four ways to find the midpoint of a line **segment **are using the Midpoint Formula, using the Distance Formula, using a Graph, and using a Ruler.

**Using the Midpoint Formula: **

This method involves using the midpoint formula, which is (x1 + x2)/2, (y1 + y2)/2. This formula gives the coordinates of the midpoint when the coordinates of the two endpoints of the line segment are known.

**Using the Distance Formula:**

This method involves using the distance formula to find the distance between the two endpoints of the line segment and then dividing the distance by 2. The midpoint will be located at the point that is half the distance from each endpoint.

**Using a Graph: **

This method involves plotting the two endpoints of the line segment on a graph and then drawing a line segment connecting the two points. The midpoint of the line segment will be located at the point where the line segment is bisected.

**Using a Ruler: **

This method involves measuring the distance between the two endpoints of the line segment with a ruler or measuring tape, and then marking the point that is halfway between the two endpoints. The midpoint of the line segment will be located at the point that is marked.

All of these methods can be used to find the midpoint of a line segment, it depends on what information is given and what tools are available.

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Why is the exponent 0 1?

The exponent 0 refers to the number being **raised** to the **power** of 0.

When any number, except 0, is raised to the power of 0, the **result** is always 1. This is known as the "**zero power property**" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^0 = 1

For example, 2^0 = 1, 5^0 = 1 and so on. This property holds **true** for any base a, including real numbers, complex numbers, and even matrices.

The exponent 1 refers to the number being raised to the **power** of 1. When any number is raised to the power of 1, the result is always the **same** as the **number** itself. This is known as the "**identity property**" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^1 = a

For example, 2^1 = 2, 5^1 = 5 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

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If m = −72 is slope, y - intercept is 12 and the point ( x, 5 ) lies on the line. What is the value of x ?

**A line can be represented in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.**

**Given that m = −72 and the y-intercept is 12, we can represent the line as y = −72x + 12**

**We are also given that the point (x, 5) lies on the line. So we can substitute the x and y values of the point into the equation of the line to find the value of x.**

**y = −72x + 12**

**5 = −72x + 12**

**-7 = -72x**

**x = 7/72**

**So the value of x is 7/72.**

**We can also get this by solving the equation of the line for x.**

**y = -72x + 12**

**y - 12 = -72x**

**(y - 12)/-72 = x**

**x = (y - 12)/-72**

**So for any point (x, y) on the line, the value of x can be obtained by substituting y and the slope-intercept form equation.**

Suppose that the functions and are defined for all real numbers as follows.

Write the expressions for and and evaluate .

(s+t)(x)=

(s*t)(x)=

(s-t)(-1)=

The **expression** (s+t)(x) is equal to the sum of the **functions** s(x) and t(x), the expression (s*t)(x) is equal to the product of the functions s(x) and t(x), and the expression (s-t)(-1) is equal to the difference between the functions s(-1) and t(-1). When evaluating (s+t)(-1) we get the result 0.

(s+t)(x)=s(x)+t(x)

(s*t)(x)=s(x)*t(x)

(s-t)(-1)=s(-1)-t(-1)

(s+t)(-1)=s(-1)+t(-1)=-2+2=0

(s+t)(x) = s(x)+t(x)

This means that the expression (s+t)(x) is equal to the sum of the functions s(x) and t(x).

(s*t)(x) = s(x)*t(x)

This means that the expression (s*t)(x) is equal to the product of the functions s(x) and t(x).

(s-t)(-1) = s(-1)-t(-1)

This means that the expression (s-t)(-1) is equal to the **difference** between the functions s(-1) and t(-1).

Finally, when we evaluate (s+t)(-1) we get s(-1)+t(-1)=-2+2=0.

The **expression** (s+t)(x) is equal to the sum of the **functions** s(x) and t(x), the expression (s*t)(x) is equal to the product of the functions s(x) and t(x), and the expression (s-t)(-1) is equal to the difference between the functions s(-1) and t(-1). When **evaluating** (s+t)(-1) we get the result 0.

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Identify the perimeter and area of an equilateral triangle with height 11 cm. Give your answer in simplest radical form.

The perimeter of an equilateral **triangle** is equal to three times the **length** of the side. Perimeter = 33 cm and Area = 30.58 cm^2 (√30.58 cm^2)

Perimeter of an equilateral triangle = 3 x side

=> 3 x 11 cm = 33 cm

Area of an equilateral triangle = (√3/4) x (side^2)

=> (√3/4) x (11 cm^2)

=> (√3/4) x (121 cm^2)

=> 30.58 cm^2

=> √30.58 cm^2

The perimeter of an equilateral **triangle** is equal to three times the **length** of the side. Therefore, an equilateral triangle with a height of 11 cm will have a **perimeter** of 33 cm (3 x 11 cm). The area of an equilateral triangle can be calculated using the equation (√3/4) x (side^2). In this case, the area of the triangle is 30.58 cm^2 ((√3/4) x (11 cm^2)). This can be simplified to √30.58 cm^2 in its simplest **radical form.**

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given that 2x + 3y divideby 3x+4y ,find the ratio y : x

*Although part of your question is missing, you might be referring to the question :*

**Given that 2x+3y / 3x+4y = 5, find the ratio of y:x**

Given : 2x+3y / 3x+4y =5

To find : y : x

Solution :

(2x+3y) / (3x+4y) = 5, or

2x + 3y = 15x + 20y, or

-15x + 2x = 20y - 3y, or

-13x = 17y

Therefore, x/y = -17/13

Hence, y/x = -13/17

y : x = -13 : 17.

**The answer is -13 : 17.**

Tim's book has 50 pages.

Lisa's book has 2 1 2 times as many pages.

Which shows how many pages (y) Lisa's book has?

Lisa's **book** has 10,600 **pages.**

**Multiplication** is an **operation** that represents repeated** addition** of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication is the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number.

Tim's book has 50 pages, if Lisa's book has 212 times as many pages, therefore;

Lisa's book has 212 x 50 pages

Lisa's book has 10,600 pages.

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Heidi has made a sequence of patterns using tiles. use the rule to find out how many tiles there are in the 7th pattern.

**Answer:**

29 is the correct answer

Given the function f(x) = 3x - 1, find x when f (x) = 20

The **function **f(a+1) is equal to option C. 3a + 4.

Given function:

f(x) = 3x + 1

We have to find f(a+1).

For this purpose, we will take x = a+1 and

substitute it in the function f(x) = 3x+1:

f(x) = 3x + 1

f(a+1) = 3(a+1) +1

f(a+1) = 3(a) + 3(1) +1

f(a+1) = 3a+3+1

f(a+1) = 3a + 4

So the function f(a+1) is equal to option C. 3a + 4.

The complete question is,

Given the function f(x) = 3x + 1, evaluate f(a + 1).

A. 3a + 1

B. a + 2

C. 3a + 4

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Two groups are hiking on a glacier. Group B starts ahead of Group A and walks . To catch up to Group B, Group A walks . : since the start of the hike Group A from the start of the trail Which equation shows Group A's distance from the start? Group B Start J

**Speed **= 7.7miles/2.2hours = 3.5miles/hour

In physics, the **average speed **is defined as the ratio of distance traveled during a certain time period.

**Distance**/Time = Speed

If the problem stated that the two groups’ average speeds are equal,

Mark’s Group Speed Equals Sally’s Group Speed

The problem now suggests that the time is likewise equal. That means Sally’s group took t = 4.7 – 2.5 = 2.2 hours to travel the remaining 7.7 miles.

That implies that the speed is,

7.7 miles/2.2 hours = 3.5 miles/hour.

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Marshall divides his money into four categories. He saves of his money. He gives of his money to a charity. He uses of his money to buy snacks at school, and he spends of his money on fun. What fraction of his money does he save and spend on fun?

**Answer:**

Marshall saves 1/4 of his money and spends 1/4 of his money on fun. Therefore, he saves and spends 1/4 + 1/4 = 1/2 or 50% of his money on those two categories.

**Step-by-step explanation:**

Can you guys help me with this?

I just need to know what to do when it’s negative cause I’ve been doing positive the whole time..

The positive **exponent** for the given expression is 1/5.

A positive **exponent** tells us how many times to multiply a base number, and a negate

ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given exponent is [tex]25^{-\frac{1}{2}[/tex].

Now, [tex]25^{-\frac{1}{2} }=(5^2)^{-\frac{1}{2}[/tex]

= 5⁻¹

= 1/5

Therefore, the positive **exponent** for the given expression is 1/5.

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What is the scale factor of 10 cm 5m?

You want to build a structure with a length of 5 m, where the proportions of other dimensions are conserved. Estimate the **scale factor**, 10 cm / 5 m = 0.02 .

The scale factor is a number that represents the ratio of the **measurements **of two similar figures, such as geometric shapes or maps. To find the scale factor, you can compare corresponding side lengths or angles of the two figures. The scale factor is the ratio of the length of a side in one figure to the corresponding side in the other figure. You can also find the scale factor by taking the square root of the ratio of the areas or the ratio of the volumes of the two similar figures.

Once you have the scale factor, you can use it to find the missing measurements of a similar figure by multiplying any measurement of one figure by the scale factor. In summary, the scale factor is a numerical value that allows to relate the measurements of two similar figures.

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How do you solve 3 variable equations with 3 variables?

The** linear **combination method will be used to resolve a system of three equations in three variables.

Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal." The **slope-intercept form**, standard form, and point-slope form are the three primary formats for linear equations. A mathematical **expression** known as an equation has an equals sign. Many equations contain algebra. When you don't know the exact number to compute in math, algebra is used.

given

The linear combination method will be used to resolve a system of three equations in three variables.

This time, we will consider two equations at a time, eliminate one variable using the resulting equations in two variables, then solve for the third variable. with respect to this instance.

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Would the following compound inequality be classified as an “and” inequality or an “or” inequality? Inequality: 6 > x + 1 > 3

dont guess please

The **compound **inequality says that x+1 is **greater **than 3 and less than 6.

When two **expressions **are connected by a sign like "not equal to," "greater than," or "less than," it is said to be **inequitable**. The inequality shows the greater than and less than the relation between variables and the numbers.

Given that the compound inequality is 6 > x + 1 > 3. The compound inequallity says that the value of x +1 is greater than 3 and is less than 6.

The inequality can be written as,

6 > x + 1 > 3

x + 1 > 3

x +1 < 6

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Troy had a number cube with the numbers 1-6 on it.Assuming each side is equal king likeley to appear when he rolls the cube,find the following probabilities. a(rolls a 2)

**Answer:**

**P(2)= 1/6**

**P(odd)= 1/2**

**P(factor)= 2/3**

Solve for x= 2 11/12x-5/6(x-2/5)

The value of the equation on** **x = 2 is **0.5**

Given **Quadratic equation,**

[tex]= \frac{11}{12} x - \frac{5}{6}( x - \frac{2}{5})[/tex]

Put the value of x = 2 in the above equation and we get

[tex]= \frac{11}{12} *2 - \frac{5}{6}( 2 - \frac{2}{5})[/tex]

[tex]= \frac{11}{6} - \frac{5}{6} * \frac{8}{5}[/tex]

[tex]= \frac{11}{6} - \frac{4}{3}[/tex]

[tex]= \frac{1}{2}[/tex]

= **0.5**

Therefore, the value of the equation on** x = 2** is **0.5**

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(PLEASE HELP QUICKLY) At a particular restaurant, each pizza roll has 55 calories and each mini hot dog has 70 calories. A combination meal with pizza rolls and mini hot dogs is shown to have 910 total calories and 12 more pizza rolls than mini hot dogs. Determine the number of pizza rolls in the combination meal and the number of mini hot dogs in the combination meal.

There are____ pizza rolls and ___ mini hot dogs in the combination meal.

**Answer:**

There are **14** pizza rolls and **2** mini hot dogs in the combination meal.

**Step-by-step explanation:**

From the question, we have the following parameters

Pizza roll = 55 calories each

Mini hotdog = 70 calories each

Combination meal = 910 calories in total

Let the pizza roll be x and the mini hotdog be y

So, we have

55x + 70y = 910

x = 12 + y

Make x the subject in x = 12 + y

x = 12 + y

Substitute x = 12 + y in 55x + 70y = 910

55(12 + y) + 70y = 910

Evaluate

660 + 55y + 70y = 910

So, we have

125y = 250

This gives

y = 2

Recall that

x = 12 + y

So, we have

x = 12 + 2

x = 14

Hence, there are 14 pizza rolls and 2 mini hot dogs

Using standard British coins, list the number of different ways to pay 10p.

[Note: A: (2p, 1p, 1p, 2p, 1p, 2p, 1p) is not considered to be different

from B: {1p, 2p, 1p, 1p, 2p, 1p, 2p), both are just (3x2p, 4x1p}.]

The **number of different combinations** to pay 10p with British coins is given as follows:

6.

How to obtain the number of different combinations to pay 10 pounds with British coins?The** British coins** are defined as follows:

Hence the** different combinations** to pay 10p with British coins are given as follows:

Which means that the number of combinations is of **six, **and the six combinations are the ones listed by the bullet points, above.

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19/2-1/3-9/6=?????????

**Answer:**

[tex] \frac{23}{3} ....in \: fraction \: or \\ 7.666666...in \: decimal[/tex]

**Step-by-step explanation:**

Greetings!!!

look at the image attached

Hope it helps!!!

PLease help me find the distance between AB BC and CA please help

The **distance **of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

The length along a line or line segment between two **points **on the line or line segment.

The **coordinates **of A are (-18, -18)

coordinates of B are (20, 0)

coordinates of C are (-12, 16)

The formula for **distance **is Distance=√(x₂-x₁)²+(y₂-y₁)²

Distance AB=√(20-(-18))²+(0-18)²

=√(20+18))²+(0-18)²=√38²+18²

AB=√1444+324=√1768=42.04 units

**Distance **BC=√(-12-20)²+(16)²

=√(-32)²+(16)²=√1024+256

=√1280

=35.77

Distance CA=√(-12-(-18))²+(16+18)²

=√(6)²+(34)²

=√36+1156=34.5

Hence, the **distance **of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

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Which is a correct solution for the following system of Inequalities

HELPP DUE IN 30MIN

**Answer:**

I think the answer is A

1,2

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