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3 years ago

5. a) Which of these numbers are perfect

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

4 0

Answer:

Part A: 1 & 225, A number times itself equals a perfect Square.

Part B: No, 289 is NOT perfect square.

Step-by-step explanation:

Part A: 1*1=1, 15*15=225 (Perfect Squares)

Part B: Utilizing the Factor Rainbow one can see that the same number does not exist on both sides of the rainbow simultaneously.

Charra [1.4K]3 years ago

3 0

Answer and Eplainations:

i) 1 is a perfect square because 1 x 1 = 1

ii) 24 is not a perfect square because it is a natural number. Natural numbers cannot be squared.

iii) 225 is a perfect square 15 x 15 = 225

iv) 500 is not a perfect square it is an irrational number

289 is a perfect square because 17 x 17 = 289

the square root of 289 is 17 therefore it is a perfect square

A Tip that will help you with other problems like this any nunmber ending in 2, 3, 7, or 8 can never be a perfect square.

Hope this helps! Good luck!

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What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?

Vikki [24]

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

$\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)$

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

(5, -4)

x₁ = 5
y₁ = -4

(-13, 12)

x₂ = -13
y₂ = 12

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

$\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)$

Therefore, let's substitute these values.

$\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}$

Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.

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3 years ago

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vlada-n [284]

-43
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3 years ago

The following data set has a mode of 3, a mean of 10, and a median of 5.5. Which of these three measures gives the best idea of

ANTONII [103]

For this particular data set, the median most accurately represents the values present in the data set because most of the values are clustered close to it.

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3 years ago

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Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection

guapka [62]

Answer:

250 - 20 < 80 + 15x

Step-by-step explanation:

Given that

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While on the other hand, Martin has 80 books and sell 15 books each week

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Now the inequality would be

250 - 20 < 80 + 15x

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3 years ago

*NO 194 39% 13:08 Pilih jawaban yang paling tepat Segitiga PQR dan segitiga XYZ 5 poin merupakan dua segitiga yang kongruen. Bes

Illusion [34]

Answer:

Option d. PQ = YZ

Step-by-step explanation:

The question in English is

Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

we have that

$m\angle P=m\angle Y$