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2 years ago

PLEASE HELP!!

Mathematics

1 answer:

inn [45]2 years ago

4 0

You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10

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Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m

notka56 [123]

Answer:

a) The variable, M represents the amount of fish Ms. Montesinos has

b) The set equation is 11 + 2 = 3 × M - 2

c) 5

Step-by-step explanation:

The given parameters are;

The number of fishes in Ms. Cruz's tank = 11 fishes

The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes

a) Let the variable, M represent the amount of fish Ms. Montesinos has

b) The set up equation is as follows;

11 + 2 = 3 × M - 2

c) From the equation, 11 + 2 = 3 × M - 2, we have;

13 = 3·M - 2

3·M = 13 + 2 = 15

3·M = 15

M = 15/3 = 5

M = 5

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2 years ago

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3 years ago

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pishuonlain [190]

Answer:

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Step-by-step explanation:

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .