PERFORMANCE TASK : “TRANSVERSAL CITY MAP”
This project will help you to demonstrate your knowledge of parallel lines, transversals and the angles that are created by them. You will be designing a city map using the guidelines listed below. Your map must be drawn on construction paper or poster board. Use a ruler to make your streets straight! Have a title for your map, and make it neat and organized! You will be graded on accuracy, creativity and neatness.
Guidelines:
1) There must be a title for your map.
2) Your city must have three streets that are parallel to each other and one street that intersects all three of the parallel streets. You must name all of these streets.
3) Your city has a hospital that is alternate exterior to the school that is in your city. Draw and name the hospital and the school.
4) The school and the drugstore are at corresponding locations. Draw and name the drugstore.
5) The drugstore and the pet shop are at vertical locations. Draw and name the pet shop.
6) The pet shop and the gas station are at alternate interior locations. Draw and name the gas station.
7) The hospital and the park are at same side exterior locations. Draw and name the park.
8) The gas station and the grocery store are at same side interior locations. Draw and name the grocery store.
9) The grocery store and the nail salon are at vertical locations. Draw and name the salon.
10) The nail salon and bank are at corresponding locations. Draw Target.
11) The bank and a fast food restaurant are at same side interior locations. Draw and name the fast food restaurant.
12) Your city has a mall that is in a corresponding location to the bookstore that is in your city. Draw and name the mall and the bookstore. (If you did all of the others correctly, then the bookstore and the mall only have one place to be located)​

9514 1404 393

Answer:

  (c) The solution -6 is an extraneous solution

Step-by-step explanation:

If you solve the equation graphically, you can avoid extraneous solutions. The true solution is x = -1.

You can tell from the equation that the domain will be restricted to values of x that make the radical non-negative:

  x+4 ≥ 0   ⇒   x ≥ -4

Then x=-6 must be an extraneous solution. It arises when the negative square root is used.

__

The conventional solution method has you square both sides and solve the resulting quadratic.

  (x +4)² = x +10

  x² +7x +6 = 0

  (x +6)(x +1) = 0   ⇒   x = -6 or -1

The solution x=-6 is not in the domain, so is extraneous.

__

Additional comment

Graphical solution is often easier if the equation is in the form f(x) = 0. That form can be had by subtracting one side of the equation from both sides. In the attached, we subtracted √(x+10) from both sides. (We added the negative branch of the square root function to show where the extraneous root comes from.)

Answer:

I think that a Cube Root Function

Step-by-step explanation:

Answer:

Step-by-step explanation:

Độ dài vecto a= căn bậc hai của (-3)*(-3)+4*4=5

Answer:

5

Step-by-step explanation:

Answer:

El número obtenido es:

Step-by-step explanation:

Vamos a escoger tres números sencillos para cada variable como:

Por lo tanto, nuestro número de tres cifras es:

Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:

A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:

Como obtuvimos el número 198, se podría decir que:

Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:

Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:

Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.

Answer:

12

Step-by-step explanation:

2+3=5+7=12

Answer:

Giá một cuốn sách là $ 1000

Step-by-step explanation:

Được

Tổng chi phí sách = 60000

Tổng số bạn bè = 10

Sách do mỗi người bạn mua = 2

Như vậy, tổng số sách mua của cả 10 bạn = 10 * 2 = 20

Giá của một cuốn sách = Tổng giá / tổng số sách đã mua

Giá một cuốn sách = 20000/20 = 1000

Giá một cuốn sách là $ 1000

Answer:

The second one from the top

Step-by-step explanation:

x^(5/3) y^1/3)

Answer:

you can rewrite expressions, for example

[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]

so yeah, option b is correct

Answer:

(a) 165 m/min

(b) 107.14m/min

Step-by-step explanation:

The slope of the distance time graph gives speed.

Here, the speed of the segment A is

[tex]v_A= \frac{900-0}{4-0}=225 m/min[/tex]

The speed of segment B is

[tex]v_B= \frac{1500- 900}{14-4}= 60 m/min[/tex]

(a) The change in speed is

= 225 - 60 = 165 m/min

(b) The average speed is defined as the ratio of total distance to the total time.

So, the average speed is

[tex]= \frac{1500}{14}= 107.14 m/min[/tex]

The probability of drawing two striped cubes in succession, without replacing the first cube drawn is

1/136​

Generally, The possibility of an occurrence may be quantified using the concept of probability. It is a number between 0 and 1, where 0 indicates that an event will never happen and 1 indicates that an event will definitely take place.

Probabilities may be represented as fractions, decimals, or percentages somewhere between 0 and 1, inclusive. In each given circumstance, the sum of the probabilities of all of the conceivable outcomes must equal 1.

The probability of drawing a striped cube on the first draw is 2/17 (there are 2 striped cubes out of a total of 17 cubes in the bag).  

The probability of drawing a second striped cube, given that the first one was not replaced, is 1/16 (there is now only 1 striped cube left in the bag out of a total of 16 remaining cubes).

The probability of both events happening is the product of the individual probabilities:

(2/17) * (1/16) =  1/136​

Read more about probability

https://brainly.com/question/30034780

#SPJ1

Answer:

B.226

Step-by-step explanation:

I HOPE ITS HELP PO

Answer:

768 m²

Step-by-step explanation:

8 x 400 = 3200 cm = 32 m

6 x 400 = 2400 cm = 24m

32 x 24 = 768 m²

Answer:

3/25 cup of butter

Step-by-step explanation:

You are baking a cake. The recipe asks for 3/5 cup of butter and you want to make 1/5 of the original recipe.

The calculation for the above question is given below:

1 recipe = 3/5 cup of butter

1/5 recipe = x

Cross Multiply

x × 1 recipe = 1/5 recipe × 3/5 cup of butter

x = 1/5 recipe × 3/5 cup of butter /1 recipe

x = 3/25 cup of butter

Therefore, you will need 3/25 cup of butter

Answer:

30

Step-by-step explanation:

you need to multiply its length by its with

Answer:

Part A

The volume of the triangular prism is 500 cm³

Part B

The total surface area of the prism is approximately 441.42 cm²

Step-by-step explanation:

The given details are;

The dimensions of the side length of the cube, s = 10 cm

The shape the cube was cut across to obtain = A prism

Part A

Whereby the prism obtained is a triangular prism, we have;

The cube can be cut in half to form a triangular prism

The volume of each triangular prism obtained = (1/2) × The volume of the cube

∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³

Part B

The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism

The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50

The square cross sectional area, A₂  = 10 × 10 = 100

The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2

The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃

∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42

The total surface area of the prism, A ≈ 441.42 cm²

Answer:

31°,59°

Step-by-step explanation:

csc (2x+9)=sec(3x+26)

1/sin(2x+9)=1/cos (3x+26)

sin (2x+9)=cos(3x+26)

cos (90-2x-9)=cos(3x+26)

90=3x+26+2x+9

5x+35=90

5x=90-35=55

x=55/5=11

2x+9=2×11+9=31°

3x+26=3×11+26=59°

Answer:

Both a = −4 and a = −1 are true solutions

Step-by-step explanation:

Given

[tex]\sqrt{a + 5} = a + 3[/tex]

[tex]a = -4; a = -1[/tex]

Required

The true statement about the solutions

We have:

[tex]\sqrt{a + 5} = a + 3[/tex]

Square both sides

[tex]a + 5 = (a + 3)^2[/tex]

[tex]a + 5 =a^2 + 6a + 9[/tex]

Collect like terms

[tex]a^2 + 6a - a + 9 - 5 = 0[/tex]

[tex]a^2 + 5a + 4 = 0[/tex]

Expand

[tex]a^2 + 4a + a + 4 = 0[/tex]

Factorize

[tex]a(a + 4) + 1(a + 4) = 0[/tex]

Factor out a + 4

[tex](a + 1)(a + 4) = 0[/tex]

Split:

[tex]a + 1 = 0; a + 4 = 0[/tex]

Solve:

[tex]a =-1; a = -4[/tex]

Answer:

C on 3dge

Step-by-step explanation:

Both a = −4 and a = −1 are true solutions

Answer:

(f + g) (x) = 14x-11

Step-by-step explanation:

From the question, what we have to do is to add the two given polynomials

We have this as;

(8x-7) + (6x-4) = 8x + 6x -7-4 = 14x -11

Answer:

The vertex is (0,0)

Step-by-step explanation:

To find the x coordinate of the vertex

x = -b/2a  where ax^2 +bx +c

a=1 b=0 c=0

x = -0/2(1) = 0

The y value is found by substituting into the equation

y = (0)^2 =0

The vertex is (0,0)

Answer:

37.8 x 13.2 =4988.6

28,5 + 22.1 = 50.6

Given:

The expression is:

[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)[/tex]

To find:

The resulting polynomial in standard form.

Solution:

We have,

[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)[/tex]

Write subtraction of a polynomial expression as addition of the additive inverse.

[tex](6m^5+3-m^3-4m)+(m^5-2m^3+4m-6)[/tex]

Rewrite terms that are subtracted as addition of the opposite.

[tex]6m^5+3+(-m^3)+(-4m)+m^5+(-2m^3)+4m+(-6)[/tex]

Group like terms.

[tex][6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m][/tex]

Combine like terms.

[tex]7m^5+(-3)+(-3m^3)+0[/tex]

On simplification, we get

[tex]7m^5-3-3m^3[/tex]

Write the polynomial in standard form.

[tex]7m^5-3m^3-3[/tex]

Therefore, the required polynomial in standard form is [tex]7m^5-3m^3-3[/tex].

Answer:

5 units to the right

Step-by-step explanation:

(x-5) is considered as a horizontal shift and since it has got (-) you count to the right

Answer:

15.0 units

Step-by-step explanation:

Here, we want to get the distance between the two points as follows;

CD = √(x2-x1)^2 + (y2-y1)^2

So we have;

CD = √(7+8)^2 + (-5+4)^2

CD = √225+ 1 =

CD = √(226

CD = 15.0 units

Given:

The expression is:

[tex]\sum\limits_{n=0}^{27}8n[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

According to the property of summation:

[tex]\sum\limits_{n=0}^{k}Cn=C\sum\limits_{n=0}^{k}n[/tex]

Where, C is a constant.

We have,

[tex]\sum\limits_{n=0}^{27}8n[/tex]

Using the above mentioned property of summation, we get

[tex]\sum\limits_{n=0}^{27}8n=8\sum\limits_{n=0}^{27}n[/tex]

The expression [tex]8\sum\limits_{n=0}^{27}n[/tex] is equivalent to the given expression.

Therefore, the correct option is C.

Answer:

y=1x-4

Wait sorry I did it wrong the first time lol.

In standard Form, it should be 4x-4y=16

Step-by-step explanation:

yes yes hand me brain

Answer:

17

Step-by-step explanation:

Let d be dimes

q represent quarters

d = q + 10

10d + 25q = 345 cents

Substitute for "d" and solve for "q";

10(q+10) + 25q = 345

35q + 100 = 345

35q = 245

q = 7

Since d = q+10, d = 17

Answer:

The other sides equal 9cm also because a square has four equal sides.

L=9cm * W=9cm =A

A=81 cm

Answer:

[tex]{ \tt{from \: sine \: rule : }} \\ { \bf{ \frac{ \sin(A) }{A} = \frac{ \sin(B) }{B} }} \\ \\ { \bf{ \frac{ \sin(34 \degree) }{x} = \frac{ \sin(27 \degree) }{11} }} \\ \\ { \bf{x = \frac{11 \times \sin(34 \degree) }{ \sin(27 \degree) } }} \\ \\ { \tt{x = 13.5}}[/tex]

Answer:

1) [tex]\frac{12.2}{sin(54)}[/tex] which rounds to 15.1

2) [tex]\frac{12.2}{cos(54)}[/tex] which rounds to 20.8

Step-by-step explanation:

1) We're going to have to use the trig ratios for this. We know that sin(x) = [tex]\frac{opposite}{hypotenuse}[/tex] (opposite side over the hypotenuse). In this case, we know that angle h = 54 and the side opposite to angle h = 12.2, and we're trying to find the hypotenuse. If we label the hypotenuse as x, then we can say that sin(H) = [tex]\frac{MI}{HI}[/tex]. We can plug in the values we know to get sin(54) = [tex]\frac{12.2}{x}[/tex]. From there, we multiply by x on both sides to get x out of the denominator, and then we divide by sin(54). So, we end up with x = [tex]\frac{12.2}{sin(54)}[/tex] which, if you put it in your calculator (and make sure the calculator is in degree mode) we get approximately 15.1 mi.

2) Follow the same steps that are described in 1), but instead of sin, we're using cos.

Hope this helps! Let me know if you have any further questions!

Answer:

x = 20,

y = 15

m<1 = 75°

m<2 = 75°

m<3 = 75°

m<4 = 105°

Step-by-step explanation:

m<1 = 3x + 15

m<2 = 4x - 5

m<3 = 5y

✔️m<1 = m<2 (corresponding angles are congruent)

3x + 15 = 4x - 5 (substitution)

Collect like terms

3x - 4x = -15 - 5

-x = -20

Divide both sides by -1

x = 20

✔️m<3 = m<2 (corresponding angles are congruent)

5y = 4x - 5 (substitution)

Plug in the value of x and solve for y

5y = 4(20) - 5

5y = 80 - 5

5y = 75

5y/5 = 75/5

y = 15

✔️Find the measure of each labelled angle:

x = 20, y = 15

Thus:

m<1 = 3x + 15 = 3(20) + 15

m<1 = 75°

m<2 = 4x - 5 = 4(20) - 5

m<2 = 75°

m<3 = 5y = 5(15)

m<3 = 75°

m<4 + m<3 = 180° (same side interior angles are supplementary)

m<4 + 75° = 180° (substitution)

m<4 = 180° - 75° (subtraction property of equality)

m<4 = 105°

Answer:

1 cup = 8 fl oz

Step-by-step explanation:

1 cup = 8 fl oz