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Advocard [28]
2 years ago
9

Using the following​ diagram, solve for x. Show work

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0

Answer:

x = 7.5

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

\frac{8}{10} = \frac{6}{x} ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = \frac{60}{8} = 7.5

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Rewrite the function by completing the square.
bixtya [17]

Answer:

g(x) = 4(x - 2)^2 -9

Step-by-step explanation:

Given

g(x) = 4x^2 - 16x + 7

Required

Complete the square

Rewrite so that x^2 has 1 coefficient

g(x) = 4(x^2 - 4x) + 7

Take half of the coefficient of x

\frac{4}{2} = 2

Square the result

(\frac{4}{2})^2 = 2^2

(\frac{4}{2})^2 = 4

Add and subtract the result in the bracket

g(x) = 4(x^2 - 4x + 4 - 4) + 7

Expand the bracket to remove -4

g(x) = 4(x^2 - 4x + 4) - 16 + 7

g(x) = 4(x^2 - 4x + 4) -9

Expand the bracket

g(x) = 4(x^2 - 2x -2x+ 4) -9

Factorize

g(x) = 4(x(x - 2) -2(x-2)) -9

Factor out x - 2

g(x) = 4((x - 2)(x-2)) -9

Express as square

g(x) = 4(x - 2)^2 -9

3 0
3 years ago
B. 135: 90<br> Simplify the ratio
icang [17]
Answer: 3/2

Divide both 135 and 90 by 45 and you get 3 and 2
5 0
3 years ago
Read 2 more answers
Domain and range of graphs
White raven [17]

Answer:the domain is every “x” coordinate and the range is the “y” coordinate

Step-by-step explanation:

If you have to tell whether it’s a function or not, all of the x values in the domain will be different for a function, and 2 or more of the same x value won’t be a function

4 0
3 years ago
consider a study conducted to determine the average protein intake among an adult population. Suppose that a confidence level of
uysha [10]

Answer:

made up of about 20 common amino acids. The proportion of these amino acids varies as a characteristic of a given protein, but all food proteins—with the exception of gelatin—contain some of each. Amino nitrogen accounts for approximately 16% of the weight of proteins. Amino acids are required for the synthesis of body protein and other important nitrogen-containing compounds, such as creatine, peptide hormones, and some neurotransmitters. Although allowances are expressed as protein, a the biological requirement is for amino acids.

Proteins and other nitrogenous compounds are being degraded and resynthesized continuously. Several times more protein is turned over daily within the body than is ordinarily consumed, indicating that reutilization of amino acids is a major feature of the economy of protein metabolism. This process of recapture is not completely efficient, and some amino acids are lost by oxidative catabolism. Metabolic products of amino acids (urea, creatinine, uric acid, and other nitrogenous products) are excreted in the urine; nitrogen is also lost in feces, sweat, and other body secretions and in sloughed skin, hair, and nails. A continuous supply of dietary amino acids is required to replace these losses, even after growth has ceased.

Amino acids consumed in excess of the amounts needed for the synthesis of nitrogenous tissue constituents are not stored but are degraded; the nitrogen is excreted as urea, and the keto acids left after removal of the amino groups are either utilized directly as sources of energy or are converted to carbohydrate or fat.

3 0
3 years ago
- 2 - I what is the absolute value of each number
mafiozo [28]

Answer:

2 and 1

Step-by-step explanation:

apsolute value is always a positive number.

4 0
3 years ago
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