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Gelneren [198K]
3 years ago
7

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (7, 8). After leaving th

e theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

If each grid square represents one block, then the number of box he walked will be 30 blocks.

Step-by-step explanation:

Tommy walks from his home to the mall and then walks to a movie theater.

His home is at (0,0), the mall is at (0,8) and the movie theater is at (7,8).

Now, distance from (0,0) to (0,8) is 8 units and the distance from (0,8) to (7,8) is 7 units.

So, total distance covered is (8 + 7) = 15 units.

After leaving the theater Tommy walks to the store before returning home.

The store is at (7,0).

Now, the distance from (7,8) to (7,0) is 8 units and the distance from (7,0) to (0,0) is 7 units.

So, total distance covered is (8 + 7) = 15 units.

If each grid square represents one block, then the number of the box he walked will be (15 + 15) = 30 blocks. (Answer)

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Answer:

C

Step-by-step explanation:

9x² - 4y^{6}

can be factored as a difference of squares , that is

(U + V)(U - V)

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with U = 2x and V = 2y³

8 0
2 years ago
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Graph the solution set for the inequality z-4≤3
OleMash [197]

Answer:

  see below

Step-by-step explanation:

Add 4 to find the solution:

  z ≤ 7

The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.

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2 years ago
What is one of the solutions to the following equations? y2+x2=53<br> Y-x=5
Olenka [21]
(1)  y² + x² = 53
(2)  y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

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(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7

subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
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Answer: x = 2 and y = 7 or x = -7 and y = 3
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3 years ago
Based on the diagram, which expresses all possible
qaws [65]

The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

<h3>Properties of a triangle</h3>

From the question, we are to determine the expression that expresses all possible lengths of segment AB

From one of the properties of a triangle,

The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>

Then, we can write that

AB < 27 + 54

and

AB > 54 - 27

Putting the two inequalities together, we get

54 - 27 < AB < 27 + 54

27 < AB < 81

Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

Learn more on the Properties of a triangle here: brainly.com/question/1851668

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3 0
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The 63 is the err in her explanation here.

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