a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?

Answer:

B. Substitution Property

Step-by-step explanation:

Transitive property would be TX=GH and GH=PS then TX+PS

The substitution property of equality is one of many equality properties used to simplify expressions and solve equations.

If PQ + RS = PS and RS = XY, then PQ + XY = PS is an expression using substitution property.

The substitution property states that 'If a variable x is equal to another variable y, then x can be substituted in place of y in any expression and y can be substituted in place of x in any expression.

We have,

If PQ + RS = PS and RS = XY, then PQ + XY = PS.

We are substituting RS with XY on PQ + RS = PS.

We get,

PQ + XY = PS

This expression has been solved using the substitution property.

Thus, If PQ + RS = PS and RS = XY, then PQ + XY = PS is an expression using substitution property.

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Answer: a reflection could i think

Step-by-step explanation:

Answer: A & C

Step-by-step explanation:

Answer:

The answer is C 100

Step-by-step explanation:

Sure whats the problem?

The value of the expression 5³ is 125.

We have,

The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.

In mathematics, exponentiation is an operation that involves raising a base number to a certain power.

The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).

When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:

5³ = 5 x 5 x 5  = 125

So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.

Thus,

The value of the expression 5³ is 125.

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The complete question:

What is the value of 5 raised to the power of 3?

Answer: Php 628

Step-by-step explanation:

Nina got two bags but paid for the price of one according to the sale.

The cost of each bag will therefore be the total price divided by 2 which is;

= 1,256/2

= Php 628

The pair of linear equations graphed using a graphing software. The graphs are attached below :

Graph 1 :

x = 2x + 2 - - - - (1)

2y = 4x + 4 ;

Divide both sides by 2

y = 2x + 2 - - - - - (2)

Hence, the graph would be follow the same trends as the functions are the same.

Graph 2 :

y = x - 5 - - - - - - (1)

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

The pair of lines intersect each other as seen on the graph.

Graph 3 :

y = 2x - 3 - - - - (1)

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

Both Lines are parallel to one another.

The attached graphs are in the attachment below.

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Answer:

I think the answer is 136

Answer:

Step-by-step explanation:

First, we subtract 133-65 to find out how many new necklaces she need to buy

The answer is 68

Now, two necklaces costs $1, meaning one necklace costs ¢50, or $0.50.

So, we just multiply the number of necklaces (68) by the cost per necklace (0.5)

68×0.5=34

she will need to spend $34 to have a total of 133 necklaces

Answer:

Nope! Thats as simplified as it gets!

Answer:seems like it cant

Step-by-step explanation:

Answer:

11,-11

Step-by-step explanation:

This is correct.

hope this helps ;D

Answer:

All real square roots of 121 is +11 and -11.

When you square root something, you take the positive and negative of the number, so the square root of 121 would be 11 and -11.

When you do 11 times 11, you get 121 and when you do -11 times -11, you get 121 as well, this is why we do the negative as well.

#teamtrees #WAP (Water And Plant)

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

Answer:

Tess = 71 y/o

Nina = 63 y/o

Katy = 55 y/o

Step-by-step explanation:

First step: divide their age equally.

189÷3 = 63 years old / person

Second step: calculate the different between their age.

Tess>Nina>Katy

Different between:

Katy and Tess

= 16 years

Nina and Katy

= 8 years

Tess and Nina

= 16–8

= 8 years

Third step: Calculate their age.

Tess = 63+8

= 71 years old (because she is 8 years older than Nina and 16 years older than Katy)

Nina = 63 years old ( it doesn't change because she is in the middle)

Katy = 63–8

= 55 years old (because she is 8 years younger than Nina and 16 years younger than Tess)

To confirm, you can sum their age and check the age differences like what have been told in the question either it is correct or not.

71+63+55

= 189 years

Answer:

[tex]3\sqrt{3} + 72[/tex]

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

[tex]9 \times 8 = 72ft^{2}[/tex]

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

[tex]\frac{9}{S} = \frac{S}{T}[\tex]

But

[tex]\frac{9}{S} = \frac{S}{3}[\tex]

Multiplying through by 3S we have

27 = S² and this gives:

[tex]S = \sqrt{27} = 3\sqrt{3}[/tex]

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is [tex]3\sqrt{3}[/tex]

Therefore, the total area of the shaded squares is

[tex]3\sqrt{3} + 72[/tex]

Answer:

17

Step-by-step explanation:

We are given that [tex]$\frac{9}{\text{S}}=\frac{\text{S}}{\text{T}}=3.$\[\frac{9}{\text{S}}=3\][/tex]gives us S=3, so[tex]\[\frac{\text{S}}{\text{T}}=3\][/tex]gives us T=1. There are 8 shaded squares with side length [tex]$\text{T}$[/tex] and there is 1 shaded square with side length [tex]$\text{S},$[/tex] so the total shaded area is [tex]$8\cdot(1\cdot1)+1\cdot(3\cdot3)=8+9=\boxed{17}.$[/tex]

Answer:

B. 400

Step-by-step explanation:

4×4 =16

5^2 = 25

25×1= 25

16×25= 400

Answer:

A

Step-by-step explanation:

Because if you look up y=2x+2 that graph rises and if you look up y=-2x+2 it decreases

Answer:

8.5

Step-by-step explanation:

Answer:

3,000

Step-by-step explanation:

Just multiply every decagram by 1,000

Note: Consider we need to find the vertices of the image.

Given:

Square KLMN with vertices K(0,2), L(1,8), M(7,7), and N(6, 1).

It rotates 270 counterclockwise about the origin.

To find:

The vertices of the image after rotation.

Solution:

If a figure rotates 270 counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]K(0,2)\to K'(2,0)[/tex]

[tex]L(1,8)\to L'(8,-1)[/tex]

[tex]M(7,7)\to M'(7,-7)[/tex]

[tex]N(6,1)\to N'(1,-6)[/tex]

Therefore, the vertices of the image are K'(2,0), L'(8,-1), M'(7,-7) and N'(1,-6).

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

Answer:

On the graph h, k, and a are not labeled so do not find a way to find them

Step-by-step explanation:

give me brainliest

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

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Answer:

80°

Step-by-step explanation:

because a straight parallel line is 180°

Answer:

x=100°

because line AD//EH

therefore alternate angle are equal

so x=100°

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

9514 1404 393

Answer:

  yes, the lines are perpendicular

Step-by-step explanation:

A graph of the line through the points (8, -4) and (3, 6) shows it has a slope of -2. That is the opposite reciprocal of the slope of 1/2 that the given line has.

When two lines have opposite reciprocal slopes, they are perpendicular.

The lines are perpendicular.

__

If you like you can compute the slope using the slope equation:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -(-4))/(3 -8) = 10/-5 = -2

Answer:

13

Step-by-step explanation:

Given:

BC = 2x + 7

CD = x + 10

Coordinate of point B = 0

Required:

Coordinate of point C

SOLUTION:

Since C is the midpoint of BD, therefore:

BC = CD

2x + 7 = x + 10 (substitution)

Collect like terms

2x - x = -7 + 10

x = 3

BC = 2x + 7

Plug in the value of x

BC = 2(3) + 7 = 6 + 7

BC = 13

Thus, the coordinate of point C would be a distance of 13 units away from the coordinate of point B.

Since the coordinate of B is 0, 13 units away from 0, would be 13.

Therefore, the coordinate of point C = 13

The coordinate of point C if If C is the midpoint of BD will be (0, 13)

From the given diagram, if C is the midpoint of BD, hence;

BC + CD + BD

Given the following parameters

BC = 2x + 7

CD = x + 10

Since C is the midpoint of BD, hence BC = CD

2x + 7 = x + 10

2x-x = 10 - 7

x = 3

Get the measure of BC:

BC = 2x + 7

BC = 2(3) + 7

BC = 13 = CD

Hence the coordinate of point C will be (0, 13)

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Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

Answer:

8.09

9.1 is obviously greater than 8.9, when you compare the numbers.

And the other numbers are all 8 in the ones place (to the left of the decimal). So, you have to look at the number in the tenths place (to the right of the decimal). 8.09 has a "0" in the tenths place, & 8.9 has a "9" in the tenths place, making 8.09 less than 8.9.

If you compared the 2 remaining numbers 8.91 & 8.99, they would both be greater, because since they all have the same number in the tenths place, you have to move on to comparing the next number, which would be in the hundreths place (2 digits to the right of the decimal).

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

Answer:

4/4=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y-intercept is the point where the line crosses the y axis (horizontal line in graphs). We can clearly see that the y-intercept is -1, since the line intersects the y axis at y = -1.

Ok, now for the slope, we will use this equation, where m is the slope we wish to find.

m = rise/run where rise is the change in y and run is the change in x.

To determine the rise and run, we need two coordinate pairs.

9, -4 and 0, -1 will do

Note: The coordinate pairs are x, y, but slope is y/x, it is important that we do not become confused.

Now, we will subtract one y from the other and then do the same for the x's. It is important that we use the same order for the x's as we do for the y's, in order for the answer to be valid.

Y -4 - -1 = -3

X 9 - 0 = 9

Slope is -3/9 or -1/3

Step-by-step explanation:

square root of 26

becoz √26=5.099

=5.1

Answer:

square root of 26

Step-by-step explanation:

this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5