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laiz [17]
3 years ago
8

The y axis is a line of symmetry for a triangle. The coordinates of two of its vertices are (-3, 2) and (0,5)

Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

  • See  below

Step-by-step explanation:

A)

One of the points on the y-axis (0, 5).

<u>It means the other vertices are symmetrical:</u>

  • (-3, 2) and (3, 2)

B)

<u>The height of the triangle is the difference of the y-coordinates:</u>

  • h = 5 - 2 = 3

<u>The base of the triangle is the distance between the symmetric vertices:</u>

  • b = 3 - (-3) = 6

<u>The area is:</u>

  • A = 1/2bh = 1/2*6*3 = 9 units²
Furkat [3]3 years ago
6 0

Answer:

(3,2)

Step-by-step explanation:

since it symmetrical over the y axis it will be the same as the first point except the x will be the opposite

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miv72 [106K]

Answer:

7/12

Step-by-step explanation:

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3 years ago
A jar contains 8 red marbles numbered 1 to 8 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find
Shkiper50 [21]

Answer:

Therefore the probability that the marble is blue or even numbered is \frac{11}{15}

Step-by-step explanation:

Probability: The ratio of favorable outcomes to the total outcomes.

It is denoted by P.

Probability= \frac{\textrm{favorable outcomes}}{\textrm{Total outcomes}}

Given that a jar contains 8 red marbles and 7 blue marbles.

Total number of marbles = (8+7) = 15

Let A = Event of getting a blue marble

B= Event of getting of even marble.

Even number blue marbles are 2, 4,6

Even number red marbles are 2, 4,6,8

The number of even marbles are =(3+4)=7

The probability of getting a blue marble is P(A)

=\frac{\textrm{Total number of blue marbles}}{\textrm{Total number of blue marbles}}

=\frac{7}{15}

The probability of getting a even marble  is P(B)

=\frac{\textrm{The number of even number marbles}}{\textrm{Total number of marbles}}

=\frac{7}{15}

The probability of getting a even numbered blue marble P(A∩B)

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P(blue marble or even- numbered)

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Therefore the probability that the marble is blue or even numbered is \frac{11}{15}

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Step-by-step explanation:

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