9514 1404 393
Answer:
- x/45 = 9 m/30
- x = 13.5 . . . meters
Step-by-step explanation:
In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.
x/45 = 9/30
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Multiplying by 45 gives the solution:
x = 45(9/30) = 13.5 . . . meters
Hello,
Question:
Keisha solved the following equation:
4x − 2x + 8 = 6(x + 4)
Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)
Correct Solution:
x − 2x + 8 = 6(x + 4)
4x + −2x + 8 = (6) (x) + (6) (4) (Distribute)
4x + −2x + 8 = 6x + 24
(4x + −2x) + (8) = 6x + 24 (Combine Like Terms)
2x + 8 = 6x + 24
2x + 8 = 6x + 24
Subtract 6x from both sides.
2x + 8 − 6x = 6x + 24 − 6x
−4x + 8 = 24
Subtract 8 from both sides.
−4x + 8 − 8 = 24 − 8
−4x = 16
-4 x -4 = 16
x = -4
Answer:
Where keisha went wrong was forgeting to subtract 6x to both sides.
Incorrrect step is #3
<span>f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5
f(x) = 7/(x-8) Domain: all real numbers except 8
f(x) = sqrt(x) Domain: all positive real numbers and 0
f(x) = 8x Domain: all real numbers
The domain of a function is the set of all numbers for which that function is valid. You have 4 functions and 4 possible domains to choose from. Let's work each one out.
f(x) = sqrt(x-5)
You're not allowed to take the square root of a negative number. So the domain for this function would be all values of x >= 5. That way you're taking the square root of 0 or higher. Let's see if any of your choices match that.
And you have the choice "all real number greater or equal to 5"
f(x) = 7/(x-8)
You're not allowed to divide by 0. And the denomerator becomes 0 if x equals 8. So the domain is all real numbers except 8 which happens to be one of the choices.
f(x) = sqrt(x)
This is much like the 1st choice. You can't take the square root of a negative number. So the domain is all non-negative numbers. Looking at the choices, there isn't a match, but there's the choice "all positive real numbers and 0" which means the same thing. So that's the answer.
f(x) = 8x
I don't see anything that would make it impossible to evaluate this expression. So its' domain is all real numbers. And you have that as a choice.</span>
Using the combination formula, it is found that you can select 2 boys and 5 girls in 2,520 ways.
In this problem, Joao and Elisa would be the same team as Elisa and Joao, hence the order is not important and the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem:
- 2 boys are selected from a set of 6.
- 5 girls are selected from a set of 10.
Hence:
You can select 2 boys and 5 girls in 2,520 ways.
More can be learned about the combination formula at brainly.com/question/25821700
#SPJ1
Is there a graph or something to the question?
