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Allisa [31]
3 years ago
13

What's the lenght of side b in the figure below

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0
Let's use Pythagorean theorem.  a^{2}+b^{2}=c^{2} where c is the hypotenuse.

So if we set it up:

7^{2}+b^{2}=13^{2}

now we simplify:

49+b^{2}=169

and get b^{2} by itself:

b^{2}=120

Now to get b by itself, we need to take the square root of both sides:

b=\sqrt{120}

And that's your answer!
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Tual School
Lady_Fox [76]

Answer:

The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount the artist can receive for the goods, hence:

|x - 250| = 25

x - 250 = 25 or -(x - 250) = 25

x = 275 or x = 225

The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.

5 0
2 years ago
Please answer all please​
Firdavs [7]

Answer:

Step-by-step explanation:

The first parabola has vertex (-1, 0) and y-intercept (0, 1).

We plug these values into the given vertex form equation of a parabola:

y - k = a(x - h)^2 becomes

y - 0 = a(x + 1)^2

Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:

1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is

y = (x + 1)^2

Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:

vertex:  (1, 4)

x-intercepts:  (-1, 0) and (3, 0)

Subbing these values into y - k = a(x - h)^2, we obtain:

                                            0 - 4 = a(3 - 1)^2, or

                                                -4 = a(2)².  This yields a = -1.

Then the desired equation of the parabola is

y - 4 = -(x - 1)^2

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2 years ago
Find the domain of the function.
bonufazy [111]

x + 6 >= 0

x >= -6

Choice B is the answer.

Do you know why?

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2 years ago
10+10 is the same as 11+11<br> do you understand?
Inga [223]

Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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