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musickatia [10]
3 years ago
14

Which set of integers is included in (-1,3]?

Mathematics
1 answer:
notka56 [123]3 years ago
3 0
(1)
Cuz "[]" is in included
"()" isn't.
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5) Find the area of a rectangle<br> with points at (-8,5), (2,5),<br> (2,-3) and (-8,-3).
Lady bird [3.3K]

Answer:

80 units²

Step-by-step explanation:

Given <u>vertices</u> of a rectangle:

  • A = (-8, 5)
  • B = (2, 5)
  • C = (2, -3)
  • D = (-8, -3)

As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:

\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}

As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:

\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}

Therefore:

\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}

7 0
2 years ago
Read 2 more answers
The radius of the Sun is about 700,000,000 meters, the radius of the planet Venus is about 6,000,000 meters, and the radius of t
Fynjy0 [20]

Answer:The radius of Betelgeuse is about 5 × 1011 meters, and the radius of Venus is about 6 × 106 meters.

Step-by-step explanation:

because the 500 billion Has 11 0s so it will be 5 x 10^11    

6,000,000 has 6 0s so it will be 10^6

3 0
3 years ago
(334)÷(−212) dive it
Dima020 [189]
The answer to the equation is -1.5754
3 0
3 years ago
Rewrite the expression using radical notation 27 2/3
UkoKoshka [18]
The expression using radical notation 27 2/3
8 0
3 years ago
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
professor190 [17]

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

  • a² + b² = c²
  • where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

  • 5² + 8² = 12²

Simplify.

  • 25 + 64 = 144
  • 89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

6 0
3 years ago
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