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Furkat [3]
2 years ago
7

Solve for x and y

Mathematics
1 answer:
bekas [8.4K]2 years ago
7 0

Answer:

x = 2√2

y = 2√6

Step-by-step explanation:

Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)

These will be equal since the triangles are similar

shorter leg : longer leg

(blue triangle = red triangle)

⇒ x : 4 = 2 : x

⇒ x/4 = 2/x

⇒ x² = 8

⇒ x = √8

⇒ x = 2√2

Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)

⇒ 4² + (2√2)² = y²

⇒ y² = 24

⇒ y = √24

⇒ y = 2√6

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Answer:

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Step-by-step explanation:

Consider the graph of a function f(x), if we want to move the graph right by a units we have f(x-a), to then move it up by b units we have f(x-a)+b. In this case you replace the x with x-a to get sqrt(x-a)+b

Notice how the graph goes through (3,3) and (4,4) like the original graph goes through (0,0) and (1,1). This means we want to translate it 3 up and 3 right giving us the answer.

4 0
2 years ago
3х – 8y = — 16<br> =<br> M<br> So yeah I kinda need help
marishachu [46]

Answer:

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Step-by-step explanation:

8 0
2 years ago
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the com
malfutka [58]

Answer:

0.156

Step-by-step explanation:

Using binomial probability formula, we have :

P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ  ------------------------------------------------- (1)

Where n = total number of sample

           a = number of success

            p = probability of success

            q = probability of failure

            n-a = number of failures

From the question:

n =10 , a = 7, p=0.54, q = 1-p = 0.46

Substituting into equation (1) we have:

P (7 out of 10) =  ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷

                      = 0.1563

                     ≈ 0.156

                   

8 0
3 years ago
Round 18.049 to the nearest tenth.
kirill115 [55]

Answer:

18.0

Step-by-step explanation:

Note the tenth place value (underlined and bolded): 18.<u>0</u>49

Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.

Note the rules of rounding. If the number:

1) is 5 or greater, round up.

2) is 4 or less, round down.

In this case, it is 4, so you will round down.

18.049 rounded to the nearest tenth is 18.0

~

4 0
3 years ago
Read 2 more answers
If f(x))= x/2 + 8, what is f(x) when x=10
Inga [223]
10 divided by 2 is 5, 5 + 8 is 13
thus f(10)= 13
hope this helps
6 0
3 years ago
Read 2 more answers
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