HELP PLEASE! What’s the domain and range?

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

x^2– y^2 = 24 .... 1

x= 3 + 2y .... 2

Substitute 2 into 1

(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

y^2-4y-5 = 0

y^2+5y - y - 5 = 0

y(y+5) - 1 (y+5) = 0

y-1 = 0 and y+5 = 0

y = 1 and -5

Substitute the values of y into 2

Recall that x = 3+3y

when y = 1

x = 3 + 2(1)

x = 5

when x = -5

x = 3 + 2(-5)

x = 3 - 10

x = -7

Hence the solutions are (5, 1) and (-5, -7)

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

Answer:

given. Density=6g/cm3

mass=8.2g

=D=m/v

V=m/d=8.2/6=1.36cm3

Answer:

729

Step-by-step explanation:

9x9x9 = 729 in^3

Answer:

40 units

Step-by-step explanation:

The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40

Hey there!

The correct answer is 40 units squared.

We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:

(4 * 5) / 2 = area

20 / 2 = area

10 = area

Now we can multiply it by 4, which gives us 10 * 4 or 40.

Have a terrificly amazing day! :D

Answer:

11n

Step-by-step explanation:

Answer:

The . correct answer will be C

Step-by-step explanation:

Answer:

X + 4 = 48

Step-by-step explanation:

Before hat purchase :

Michael has $68

Craig has $24 less than Michael;

Hence, Craig = $68 - $24 = $44

Michael purchased hat worth, $20

x = amount Craig has after Michael purchase hat:

x = Amount Michael has - $24

Amount Michael has after hat purchase = $68 - $20 = $48

x + 4 = 44 + 4

X + 4 = 48

Answer:

their total collected is $135.45

Step-by-step explanation:

travis collect 20% more than Jessica

if travis collect $43 then

20% of 43

43 × 20 ÷ 100 = $8.6

Jessica collected $8.6 less than travis

$43 - $8.6 = $34.4

and Robin collect 35% more than travis

35% of 43

43 × 35 ÷ 100 = $15.05

therefore Robin collect $15.05 more than travis

$43 + $15.05 = $58.05

their total collected

Jessica collected $34.4

robin collected $58.05

travis collected $43

total

$34.4 + $58.05 + $43 = $135.45

Answer:

Your answer should be 3 1/3

Step-by-step explanation:

:)

Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

Step-by-step explanation:

12.3(6) + 11.5(7)

73.8 + 80.5 = 154.3

Answer: pretty sure 25 feet

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

30/80=37.5 percent

Answer:

37.5% of students say English is their favorite subject

Step-by-step explanation:

30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)

0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!

Step-by-step explanation:

.25 or 1/4 hope this helps

Answer:

1/4

Step-by-step explanation:

Any expression divided by itself equals 1

1/4÷1

Any expression divided by 1 remains the same

1/4

the solution is 1/4

Answer:

oopsie delete this

Step-by-step explanation:

Answer:

64 ounces is the best buy

Step-by-step explanation:

To figure which size is the best to buy, find the cheapest per ounces one

A: 16 ounces costs $2.56, each ounces cost 2.56/16 = $0.16

B: 36 ounces costs $5.40, each ounces cost 5.40/36 = $0.15

C: 64 ounces costs $8.96, each ounces cost 8.96/64 = $0.14

D: 96 ounces costs $14.40, each ounces cost 14.40/96 = $0.15

From the results above, C cost lowest per ounces,

64 ounces is the best buy

Pay attention in class

Given:

[tex]ST=4y,TU=2y+6[/tex]

To find:

The value of  y, ST and TU.

Solution:

In triangle STV and UTV,

[tex]m\angle TSV\cong n\angle TUV[/tex]            (Given right angles)

[tex]m\angle SVT\cong n\angle UVT[/tex]            (Given)

[tex]TV\cong TV[/tex]            (Common side)

The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.

[tex]\Delta STV\cong \Delta UTV[/tex]           (AAS congruence postulate)

Corresponding parts of congruent triangles are congruent. So,

[tex]ST\cong UT[/tex]              (CPCTC)

[tex]4y=2y+6[/tex]

[tex]4y-2y=6[/tex]

[tex]2y=6[/tex]

[tex]y=3[/tex]

Now,

[tex]ST=4y[/tex]

[tex]ST=4(3)[/tex]

[tex]ST=12[/tex]

And,

[tex]TU=2y+6[/tex]

[tex]TU=2(3)+6[/tex]

[tex]TU=6+6[/tex]

[tex]TU=12[/tex]

Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].

Complete question :

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.

Answer:

12500 mm²

Step-by-step explanation:

The front face of the mode consista of both triangle and rectangle

Area of rectangle :

Height * Base

Height = 200 m ; Base = 50

Area = 200 m * 50 m = 10,000 mm²

Area of triangle :

1/2 * base * height

1/2 * 50 * (300 - 200)

1/2 * 50 * 100

= 2500 mm²

Area of front face = Area of rectangle + Area of triangle

Area of front face = (10,000 + 2500) m²

Area of front face = 12500 mm²

Answer:

the fist one is A and the second one is D

Step-by-step explanation:

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

No it is Not Equivalent

Step-by-step explanation:

5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.

Question:

Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.

The digit 4 has a greater value in because its value is as much as its value in

Answer:

The digit 4 has a greater value in because its value is as much as its value in  0.04

Step-by-step explanation:

Given

0.04 and 0.004

Required

Which has a greater value of 4

In 0.04, the value of 4 is hundredths i.e. 0.01

In 0.004, the value of 4 is thousandths i.e. 0.001

By comparison:

[tex]0.01 > 0.001[/tex]

So, 4 has a greater value in 0.04 than 0.004

Answer: D

Step-by-step explanation:

I believe it’s D because a scaled copy is similar to the original shape, but with different shapes. It might be C, but however in math, to make a scaled copy, you have to multiply length number with the same number. (Example: Length is 2, so the scaled copy is 4.)

I hope you have a good day.

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

Answer:

4680 km / hour

Step-by-step explanation:

You can do this with a method called dimensional analysis. (I think you should check the speed. Are you sure it is that fast?)

[tex]\frac{1300 m}{sec}*\frac{1 km}{1000 m} * \frac{3600 sec}{1 hr}\\[/tex]

1.3 * 3600 = 4680 km/hour

Answer:

2

Step-by-step explanation:

2 x 2 x 2 = 8

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.