Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. Then identify the correct vertices of the image

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

[tex]a(x-h)^2+k[/tex]

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

Answer:

The puppy's adult weight would be 25 lbs.

Step-by-step explanation:

5 / .20 = 25

To check:

25 x .20 = 5

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)

Answer:

1 solution

Step-by-step explanation:

You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.

Answer:

? that makes no sense

Step-by-step explanation:

Answer:

n × 6 + 17 ≤ 21

Answer:

No.

Step-by-step explanation:

80/100 equals 0.8

Answer:

130 degrees

Step-by-step explanation:

So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:

25 + 25 + 4x + 2 = 180

4x + 52 = 180

4x = 128

x = 32, now we have x so replace the x in the equation with 32

4(32) + 2

128 + 2

130

Answer:

It's true!

Step-by-step explanation:

I hope I helped!

Answer:

False because they are congruent

Step-by-step explanation:

Answer:

x = gym memberships, and y = bottles of water

30x + 7y = 1050.....when x = 28

30(28) + 7y = 1050

840 + 7y = 1050

7y = 1050 - 840

7y = 210

y = 210/7

y = 30....so he would have to sell 30 water bottles

Step-by-step explanation:

Answer:

1188=35m+9w

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Length of the ladder = 12foot

angle of elevation = 80 degrees

Required

Height of the wall (opposite side)

The set up will form a right angled triangle where

length of the ladder is the hypotenuse

height of the wall is opposite;

Using SOH, CAH, TOA trig identity

According to SOH

sin 80 = opp/hyp

sin80 = opp/12

opp = 12sin80

opp = 11.82 feet

Hence the height of the wall is 11.8feet (to the nearest tenth)

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.

The change in the amount of seed in the feeder in 7 days is 15.12 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can run 3 miles in 60 minutes.

The time to run 1 mile is 20 minutes.

We have,

The rate at which the amount of seed decreases.

10.8 ounces = 5 days

Divide both sides by 5.

10.8/5 ounces = 1 day

Multiply 7 on both sides.

7 x 2.16 ounces = 7 days

15.12 ounces  = 7 days

This means that in 7 days, the amount of seed decreases by 15.12 ounces.

Thus,

If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.

The change in the amount of seed in the feeder in 7 days is 15.12 ounces.

Learn more about unit rates here:

https://brainly.com/question/11258929

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Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

Answer:

14 i hope this leads you into the good

Answer:

x= 40

Step-by-step explanation:

The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.

Answer:

40

Step-by-step explanation:

[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]

please mark as brainliest

Answer:

1 3/8 pounds

Step-by-step explanation:

divide 8 1/4 by 6

Answer:

just multiply first x+1 to x+5 then add and subtract

Answer:

1 hour ago-0*C3

hours ago-(-3*C)

4.5 hours ago- (-9*C

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

Answer:

x = -1.6

Step-by-step explanation:

Original equation:

5x + 9 = 1

Subtract 9 from both sides

5x = -8

Divide both sides by 5

x = -1.6

Hope this helps :)

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Answer:

9, 16, 21, 9

Step-by-step explanation:

I hope this help and it was going in order

Answer:

165

Step-by-step explanation:

We solve the first 5

1*(10-1)=9

2*(10-2)=16

3*(10-3)=21

4*(10-4)=24

5*(10-5)= 25

and notice

when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so

You add the first 5 integer you solved up

9 16 21 24 25 = 95

and then you double it no extra 25

and then you get 165 = answer

Answer:

How to find the values ​​to put in a table of values ​​according to the problem?

Step-by-step explanation:

Answer:

Step-by-step explanation:

n = -14

(x^3)(x^−17) =

x^(3 - 17) =

x^-14

Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

Answer:

-2.4 · [tex]10^{5}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-2)(x-1)

You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.

You get x^2-x-2x+2 then combine terms.

x^2-3x+2

Answer:

x² - 3x + 2

Step-by-step explanation:

(x-2)(x-1)

xx - x - 2x + 2

x² - 3x + 2

Answer:

The answer is C, because those are the points that cross the x-axis.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

When you look at the graph, you can see that all the points are listed where they should be

Answer:

-5

Step-by-step explanation:

To calculate the gradient of the slope, we have to calculate the [tex]\frac{rise}{run}[/tex].

[tex]\frac{3-(-7)}{9-11}[/tex] = [tex]\frac{3+7}{-2}[/tex]

[tex]\frac{3+7}{-2}[/tex] = [tex]\frac{10}{-2}[/tex]

[tex]\frac{10}{-2}[/tex] = -5

Answer:

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