Use the working backward method to find the solution of the equation 3y-4=20

Answer:

The mid point of ST is (1,5) and ST = 10 units

Step-by-step explanation:

It is given that,

S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.

Let (x,y) be the mid point of ST. Using mid-point formula we get :

[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

We have, x₁ = -3, x₂ = 5, y₁ = 2 and y₂ = 8

So,

[tex](x,y)=(\dfrac{-3+5}{2},\dfrac{2+8}{2})\\\\(x,y)=(1,5)[/tex]

(1,5) is the midpoint of ST.

Using distance formula to find ST as follows :

[tex]ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\ST=\sqrt{(5-(-3))^2+(8-2)^2} \\\\ST=10\ \text{units}[/tex]

Hence, the mid point of ST is (1,5) and ST = 10 units.

Answer:

(x - 2) / 2

Step-by-step explanation:

x = 2y + 2

2y = x - 2

y = (x - 2) / 2

Answer: (x-2)/2

Step-by-step explanation:

edg

Answer:

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers.

Step-by-step explanation:

Answer;

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers, To solve an equation means to find all numbers

that make the equation true. The numbers are

called solutions or roots of the equation. A

number that is a solution of an equation is said to

satisfy the equation, and the solutions of an

equation make up its solution set. Equations

with the same solution set are equivalent

equations.

Answer:

dilation

Step-by-step explanation:

did it on edge 2020

Pls make me brainliest much appreciated

The transformation that maps the pre-image to the image i.e. ABCD to A'B'C'D'  is the Dilation transformation.

Changing in size without changing the shape of the given figure, such transformation is known as dilation.

We have,

According to the question:

Smaller Rectangle ABCD has side lengths 5, 4, 5, 4.

And,

Rectangle A'B'C'D' has side lengths 10, 8, 10, 8.

So,

The size of rectangle A'B'C'D' get increases as compared to rectangle  ABCD.

Hence, We can say that the transformation dilation would transform the ABCD into the A'B'C'D' by dilation.

To learn more about transformation and dilation click here

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Answer:8,4

Step-by-step explanation:

Just put it it’s right

Answer:

B

Step-by-step explanation:

The picture represents a compass and a straightedge construction of bisecting a line segment.

- Bisect a line segment

Option C is the correct answer.

A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the center dividing the line into two equal parts.

We have a figure,

There are two line segments.

One line segment is bisected by the compass at point B.

One line segment is bisected by the compass at point F.

Thus the picture represents a compass and a straightedge construction of bisecting a line segment.

- Bisect a line segment

Option C is the correct answer.

Learn more about line segment bisector here:

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Answer:

10

Step-by-step explanation:

8+2 = 10

keep the 8 then change the sign

Answer:c

Step-by-step explanation:

Step-by-step explanation:

As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.

Hence, the quadratic equation of the curve is y = x^2 - 1.

Answer:

Step-by-step explanation:

Density = mass/Volume

mass = Density × Volume

= 7440 × 35000

= 744×35×10000

= 260400000 kg

= 2604×10^5 kg

= 2.60× 10^8 kg

Hope this helps! :)

Answer:

[tex]31 \leqslant y \leqslant 43 [/tex]

Step-by-step explanation:

When you put this formula into a graphic formula, you get a graph going up four and right one and intercepts the y-axis at 3. On the x-axis, when you go to x=7, the graph is at Y=31, same for x=10, the graph is at y=43

Answer:

18

Step-by-step explanation:

The fraction 1/3 is equal to 6/18. There are 12 girls, and 6+12=18, so there is a total of 18 students.

Answer:

18

Step-by-step explanation:

By knowing that 1/3 is the probability of being in the class, you can find that 12 girls and 6 boys would sound perfect to the question. Mathematically you would solve it by 12/0.33333 and it equals 18 of total number of students. If you need more help text me on insta it's jason_lee093

Answer:

80/100

Step-by-step explanation:

Both the top and bottom can be multiplied by the same number and the fraction will still have the same value. Muliplying the bottom by 10 gives you 100 and you must do the same to the top : 80/100

Answer:

80/100

Step-by-step explanation:

Answer:

I think it's 7=-9 but I can't remember what the term is called because I'm a little rusty, sorry. If you want to know tho, I can find my old notes

Step-by-step explanation:

Answer:

Step-by-step explanation:

6r + 7 = 2r - 9

4r + 7 = -9

4r = -16

r = -4

=============================================

U = set of natural numbers less than 8

U = {1,2,3,4,5,6,7,8}

G = set of even integers less than 10

G = {..., -4, -2, 0, 2, 4, 6, 8}

Circle the items in G that are also in set U. Those items are {2,4,6,8}

Then go back to set U = {1,2,3,4,5,6,7,8} and erase 2,4,6,8 to be left with {1,3,5,7}

The complement of a set is everything that isn't in a given set. Think of it as the opposite.

5 cakes / 100 mins = 0.05 cakes / min

0.05 cakes * 60 mins = 3 cakes / hour

Answer:

(6,1)

Step-by-step explanation:

Answer:

First option. [tex](53\times100)[/tex]

Step-by-step explanation:

Five thousand, three hundred = 5300

[tex]53\times100=5300[/tex] (Correct)

[tex]510\times59=30090[/tex] (Incorrect)

[tex]100\times500=50000[/tex] (Incorrect)

Answer:

You only have to solve each one until you get the right answer, in this case this is what you can do:

Step-by-step explanation:

53 times 100 = 5,300

510 times 59 =  30,090

100 times 500 = 50,000

The right answer is the first one!

Hope this is right, and helps!!!

Answer:

See below

Step-by-step explanation:

Refer to attached. All answers included.

Answer:

4970

The mean - the median = 4970

Answer:

I think this is the answer not sure tho. SO bacisally 4970

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

5025

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

4975

Answer:

x= 5.5

Step-by-step explanation:

18=12x-48

-12x= -48-18

-12x= -66

x= -66/-12

x= 5.5

Answer:

Okay so first you distribute 6 into the parenthesis that gives you

18=12x-48

Then you add 48 on both sides

66=12x

then you divide

X=5.5

Step-by-step explanation:

Answer:

y=-4

Step-by-step explanation:

Equation: -1/3(y-3)=11

First multiply -1/3 by y and by -3 because they are in parenthesis:

-1/3*y=-1/3y

-1/3*3=1

-1/3y-1=11

Next add 1 on both sides:

-1/3y-1+1=11+1

-1/3y=12

Now divide -1/3 on both sides:

-1/3y÷-1/3=12÷-1/3

y=-4

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!

Answer:

[tex]x<-\frac{7}{10}[/tex]

Step-by-step explanation:

[tex]10x - 5 <41 - 53[/tex]

[tex]10x-5<-12[/tex]

Add 5 to both sides:

[tex]10x-5+5<-12+5[/tex]

[tex]10x<-7[/tex]

Divide both sides by 10:

[tex]\frac{10x}{10}<\frac{-7}{10}[/tex]

[tex]x<-\frac{7}{10}[/tex]

Answer:

-0.7

Step-by-step explanation:

10x<41-53+5

10x<-7

x<-7/10 or -0.7

so x has to be less than -0.7

Answer:

495 miles

Step-by-step explanation:

If the light rail goes 165 miles per hour (mph) and if it was to travel for 3 hours you would multiply 165 mph x 3 = 495

Hey there!

[tex]Answer: \boxed{495\text{ miles}}[/tex]

[tex]Explanation:[/tex]

The light rail traveled 165 miles in one hour. The question is asking how many miles would it travel in 3 hours. So the only thing you have to do is multiply 165 miles by 3 hours.

[tex]165*3=495\\[/tex]

So it traveled 495 in 3 hours. So the answer to your question is:

[tex]\boxed{495\text{ miles}}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

If M is midpoint of AB, then

AM=MB

4x-5= 2x+11

2x=16

x=8

AM= 4x-5

=4(8)-5

=32-5

=27

BM=2x+11

=2(8)+11

=16+11

=27

Hope it helps:-)

Answer:

y=2/3×-3 passes point (6,5)

Step-by-step explanation:

=y=4/6×9 12,10

Answer:

(2, 3)

Step-by-step explanation:

Since the problem says to add 5 to x, and subtract from y, you can do x = -3 + 5 and y = 4 - 1 to get (2, 3)