Need answers for 13, 12, and 13

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

Step-by-step explanation:

-0.45 = 9/20

2.77= 2 7/9

5.55 = 5 5/9

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Lukas wants to create a triangle with sides measuring 9 in 13 in and 15 in he says that more than one triangle is possible given

Karolina [17]

Answer: Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.

Step-by-step explanation:

Here is the complete question

Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?

A. Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.

B. Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.

C. Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.

D. Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.

For the figures to make up a triangle, the addition of the square of the two smaller sides must be equal to the square of the larger side. The Pythagoras rule is used.

The figures here are 9, 13 and 15. So let's yes to confirm.

9^2 + 13^2 = 15^2

81 + 169 = 225

250 = 225

Since the two figures are not equal, it is incorrect no triangles can be drawn from the length.

6 0

3 years ago

What is the equation of the function represented by this graph?

gayaneshka [121]

Answer:

$\displaystyle g(x) = -(x + 2)(x - 4)$

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is down, so you insert a negative in front of the expression. Next, locate your x-intercepts [zeros (where the graph insects the x-axis)]. You will see that the graph intersects $\displaystyle [-2, 0]$ and $\displaystyle [4, 0],$ so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, $\displaystyle y = A[x - h]^2 + k,$ that negative in front of $\displaystyle h$ gives you the OPPOCITE outcome, so be careful.