Neil is painting two squares on his bedroom wall. The length of one side of the first square is 12 inches. The second square will be 3 times the size of the first square. What is the area of the second square?

See attachment for math work and answer.

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

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

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Answer:

yes!

Step-by-step explanation:

hi, that is correct. 3800 is a constant, meaning it is consistent and the initial height of the plane before it starts its descent.

Answer:

I think it's 3 units to the left and 6 units down

Step-by-step explanation:

Hope I helped!

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

Answer:

C

Step-by-step explanation:

The true answer is -61

Tip: If you want the correct answer you can not have a typo. Just a heads up.

Answer:

1/10

Step-by-step explanation:

Answer:

Exact form: x = [tex]\frac{-64}{5}[/tex]

Decimal form: x = -12.8

Mixed number form: x = -12[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

x = - [tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )

2x - 64 = 7x ( subtract 2x from both sides )

- 64 = 5x ( divide both sides by 5 )

- [tex]\frac{64}{5}[/tex] = x

to solve this you would use pythagorean theorm which is a^2+b^2=c^2.

The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.

Given:

The inequality is

[tex]x-(5-3x)\leq 2x-1[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]x-(5-3x)\leq 2x-1[/tex]

[tex]x-5+3x\leq 2x-1[/tex]

[tex]4x-5\leq 2x-1[/tex]

Subtract 2x from both sides.

[tex]4x-5-2x\leq 2x-1-2x[/tex]

[tex]2x-5\leq -1[/tex]

Add 5 on both sides.

[tex]2x-5+5\leq -1+5[/tex]

[tex]2x\leq 4[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

Answer:

14 and 35 I believe.

Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).

I hope this helped!

The mystery pair would be required for numbers 14 and 35.

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 70 as the product of its prime factors, which is 70.

⇒ 2 × 5 × 7

14 × 5 and 35 × 2

Given that the GCF of the mystery pair is 7

And the LCM of the mystery pair is 70.

Here the GCF of 14 and 35 would be 7

As per the given condition,

The required numbers in the pair have two digits,

Therefore, the even number is 14, and the odd is 35.

Hence, the mystery pair would be required for numbers 14 and 35.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

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Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

Answer:

1/6 or 16 %

Step-by-step explanation:

hope this helps

Answer:

We know that

November has 30 days, which means 4 weeks and 2 days.

Step-by-step explanation:

Now, 4 weeks will contain 4 Sunday.

The remaining 2 days may be :

1. Sunday and Monday

2. Monday and Tuesday

3. Tuesday and Wednesday

4. Wednesday and Thursday

5. Thursday and Friday

6. Friday and Saturday

7. Saturday and Sunday

Total number of possible outcomes = 7

Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday

Number of favourable outcomes = 2

Required probability (P)= Number of favourable outcomes /Total number of possible outcomes

P = 2/7

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

Answer:

             [tex]\bold{x_1=1\ ,\quad x_2=-\dfrac83}[/tex]

Step-by-step explanation:

[tex]3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83[/tex]

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

Answer:

I think its 11x/10

Step-by-step explanation:

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

7.  yes

8. yes

9. no

10. no

Using it's formula, the distance between the points A(2,6) and N(5,10) is of 5 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For this problem, the points are A(2,6) and N(5,10), hence the distance is given by:

[tex]D = \sqrt{(5 - 2)^2+(10 - 6)^2}[/tex]

D = sqrt(3² + 4²)

D = sqrt(25)

D = 5.

The distance between the points A(2,6) and N(5,10) is of 5 units.

More can be learned about the distance between two points at https://brainly.com/question/18345417

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Answer:

The answer to your question is :The value of 5× = 110°

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

Learn more,

https://brainly.com/question/8607612

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

12+15x= -18-12

15x= -30

x= -30÷15

x= -15

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )

Answer:      

B

Step-by-step explanation:

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Answer:

The answer is B.

Step-by-step explanation:

I just took the test.