Answer and show all of your work.

Answer:

We want to solve a system of linear equations, we will get that the solutionis (8, -22)A system of equations is a group of equations that we must solve simultaneously. Here we have two lines defined by tables:line 1:x      y-4    26-2    180    102    2line 2:x      y-4    14-2     80      22      -4Remember that a line is written as:y = a*x + bWhere a is the slope and b is the y-intercept.We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)And we know that the line passes through (0, 10), then the y-intercept is equal to 10.y = -4*x + 10For line 2 we can use the points (0, 2) and (2, - 4), so we get:And the y-intercept is y = 2, then the line is:y = -3*x + 2Now we must solve:-4*x + 10 = -3*x + 210 - 2 = 4x - 3x8 = xNow we evaluate x = 8 in any of the two lines:y = -3*8 + 2 = -22Then the solution of the system is (8, -22)

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

The length of the diagonal of Stacy's ceiling is 46,7.

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

By using Pythagoras theorem;

[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]

By using trigonometry;

[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]

Hence, the length of the diagonal of Stacy's ceiling is 46,7.

learn more about the Pythagoras theorem here;

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#SPJ2

Step-by-step explanation:

sin²zeta + cos²zeta = 1 .....1

sin²zeta - 5coszeta - 5 = 0 .....2

.......1 - .......2

cos²zeta + 5coszeta = 1

I only know just this ....

Answer: the y intercept is 4 and there is no x intercept

Step-by-step explanation: the intercept is where on the line it connects, on the y line, it touches 4 and it doesnt touch the x line

Answer:

6.7.

Step-by-step explanation:

sin 48 = 5/h

h * sin 48 = 5

h = 5 / sin 48

= 6.73

Answer:

Explanation below

Step-by-step explanation:

The equation for the area of a circle is pir^2

To find the area of parts of a circle you would do as the following examples:

the area of half a circle is (1/2)(pir^2)

the area of a quarter of a circle is (1/4)(pir^2)

the area of a third of a circle is (1/3)(pir^2)

the area of a tenth of a circle is (1/10)(pir^2)

Answer:

1800 square feet

Step-by-step explanation:

Area of composite figure

Figure 1:

length = 27 ft

Width = 24 ft

Area of figure1 = length * width

                        = 27 * 24

                        = 648 square feet

Area of figure II:

              length = 27 ft

              Widht = 32 ft

Area of figure II = 27 *32

                          = 864 square feet

Area of figure III:

    base = 18 ft

     height = 32 ft

[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]        

                                            [tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]

Area of composit figure = 648 + 864 + 288

                                        = 1800 square feet

Answer: 30 on both.

Step-by-step explanation: 30 because 3x3 is 9 so then add a zero

Answer: Area is length multiplied by width.

90=10×9

Step-by-step explanation: The sides will be multiplied to get the area.

10 And 9 are the sides

Answer:

Step-by-step explanation:

the 2 friend eat 5/8

Answer:

SA = 3.04 m²

Step-by-step explanation:

→ Find: Surface Area (SA)

SOLUTION:

→ SA = 2(1x0.8) + 2(0.4x0.8) + 2(1x0.4)

→ SA = 1.6 + 0.64 + 0.8

↓

SA = 3.04 m²

Answer:

4 × (x - 2)

Step-by-step explanation:

we want to transform 4x - 8 from a difference of two terms into a product of two factors​ :

4x - 8 is a the difference of the terms 4x and 8

4x - 8 = 4x - 4×2 = 4 × (x - 2)

4 × (x - 2)  is the product of the two terms 4 and x - 4

Answer:

30.9 yd^2

Step-by-step explanation:

Area of square -  area of circle = shaded area

    12 * 12           -  pi (6)^2 = shaded area

Answer:

answer is 3182

Step-by-step explanation:

hdjsiabehdk

Answer:

equalateral

Step-by-step explanation:

hope this helps

Answer:

3(14+4)+28+64 = 54+92 = 146 gm/mol

Step-by-step explanation:

Name of elements : 1) Nitrogen

2) hydrogen

3) phosphorus

4) oxygen

the area of both rectangles is 34yd²

hope it really helps...!!!

After find the area of one side, we proceeded to find the length and with as

Length = 10.95 feet width = 10.95 feet

Given Data

If the area of 4 side = 480 ft^2

Area of 1 side will be = x

Cross multiply we have

x = 480/4

x = 120 ft^2

Let us find the length and width of the room

x = √120

x = 10.95 feet

hence Length = 10.95 feet

width = 10.95 feet

Height = 10 feet

Learn more about area of shapes here:

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Answer:

216pops.

Step-by-step explanation:

If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks

Answer: 22.1 cm^2

Step-by-step explanation:

I just took the practice :)

Answer:

the midline is at f(x)=0

it takes the ball 2 s to complete a cycle

Answer: I beleive that the systems of transformation are that

Figure JKLM to Figure J' K' L' M' is a Rotation

Figure J' K' L' M' to Figure J" K" L" M" is a Dilation

Step-by-step explanation:

Answer:

22.1666666667 ~ 22.17 (This should be rounded)

Step-by-step explanation:

The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.

25+31+12+38+12+15/6 = mean

All the numbers added up should equal 133

You need to divide the sum by 6 since that is how many numbers that are in your data set.

The Mean of the Data set is 22.1666666667 which is approximately 22.17

Answer:

-7j - k - 1  **Answer Choice B**

Step-by-step explanation:

10k + 17 - 7j - 18 - 11k

You need to find a simplified equation that is equivalent to this.

First, combine like terms (meaning coefficients with coefficients and numbers with numbers).

10k -11k + 17 - 18 -7j

-k - 1 - 7j

Rewritten:

-7j - k - 1

Answer Choice B is correct.

Answer:y=-7/9x+1/9 and y= -7/9x + 1/9

Step-by-step explanation:

Answer:

GCF = 6{x}^{3}6x

step 1. 6{x}^{3}(\frac{12{x}^{5}}{6{x}^{3}}+\frac{-36{x}^{4}}{6{x}^{3}}+\frac{-6{x}^{3}}{6{x}^{3}})

step 2. 6x3x6x3x12x5+6x3−36+4-6x3=3,888-32

step 3. 3,888-32=3,856

Step-by-step explanation:

your answer is 3,856 hope this helps

Answer:

[tex]p = \frac{11}{12}[/tex]

Step-by-step explanation:

If we roll two number cubes we can summarize the results in the following table (Check table in the attachment)

According to table of sum we roll two numbers with a sum less than or equal to 10 in 33 cases out of a total of 36 result

Then

The probability of rolling two numbers with a sum less than or equal to 10 is: 33/36 = 11/12