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Debora [2.8K]
3 years ago
12

The following expressions are factorizations of 60. Which is the prime factorization?

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer:

d

Step-by-step explanation:

press 60 on your casio calculator then the equal sign then shift and then 3rd row this button ".,,," which means factorise

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A triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). It is translated so that its new coordinates
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Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).

Questioon says to find which type of translation occured from the given choices.

It can be easily found by drawing the given coordinates.

Original position of the triangle is drawn in Brwon colour.

New position of the triangle is drawn in Green colour.

From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.


Hence choice "A) It moved left two units and up two units." is the final answer.

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The answer is B

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Find the mean of the data: 14, 9, 2, 13, 16, 3, 13, 10
svp [43]
<span>14+ 9 + 2+ 13+ 16+3+ 13+ 10 = 80
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A triangle has three angles of 36°, 34°, and 110°.<br> A. equilateral B. obtuse C. acute D. right
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Prove using the Pythagorean theorem that AC is perpendicular to AB given points ????(−2, −2), ????(5, −2), and
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Answer:

(BC)^2=(AC)^2+(AB)^2. It means AC is perpendicular to AB.

Step-by-step explanation:

Vertices of given triangle are A(−2, −2), B(5, −2), and C(−2,22).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula we get

AB=\sqrt{(5-(-2))^2+(-2-(-2))^2}=\sqrt{7^2}=7

BC=\sqrt{(-2-5)^2+(22-(-2))^2}=\sqrt{7^2+24^2}=\sqrt{625}=25

AC=\sqrt{(-2-(-2))^2+(22-(-2))^2}=\sqrt{24^2}=24

According to Pythagoras theorem

hypotenuse^2=perpendicular^2+base^2

(BC)^2=(AC)^2+(AB)^2

Perpendicular = AC

Base = AB

It means AC is perpendicular to AB.

Hence proved.

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3 years ago
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