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2 years ago

Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?

Mathematics

2 answers:

sweet-ann [11.9K]2 years ago

6 0

These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope

lisabon 2012 [21]2 years ago

3 0

Answer:- The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.

Explanation:-

The x -axis is a horizontal line with the equation y=0. Its slope is 0

The y -axis is a horizontal line with the equation x=0 . Its slope is not defined.

y=-6 is a horizontal line and is parallel to x axis.

∴Its slope is 0. [slope of parallel lines are equal]

x=1/6 is a vertical line parallel to y-axis.

∴ Its slope not defined. [slope of parallel lines are equal]

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If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)? StartSet x ver

nekit [7.7K]

Answer:

The domain of the function will be {x I x ≠ 13}.

Step-by-step explanation:

The two functions f(x) and g(x) are given to be

f(x) = x + 7 and

$g(x) = \frac{1}{x - 13}$

Now, we have to find the composite function (fog)(x).

Here, (fog)(x) = f{g(x)}

⇒ $(fog)(x) = f(\frac{1}{x - 13}) = \frac{1}{x - 13} + 7 = \frac{7x - 90}{x - 13}$

Therefore, the denominator of the function can not be zero and the domain of the function will be {x I x ≠ 13}. (Answer)

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2 years ago

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Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use

Mekhanik [1.2K]

Answer: independent variable: time (t). Dependent variable: distance (d).

Step-by-step explanation: an independent variable is a variable whose variation does not depend on that of another. In the given problem, the independent variable is time, because time will pass by no matter what (without depending in any other variable). The dependent variable in this case is the distance, because how far Jillian goes, depends on how much time she expends walking and jogging.

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2 years ago

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The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airp

Lana71 [14]

$\bf \cfrac{\stackrel{model}{length}}{\stackrel{actual}{length}}\qquad 1:83\qquad \cfrac{1}{83}\implies \cfrac{1}{83}=\cfrac{10.5}{x}\implies x=\cfrac{83\cdot 10.5}{1}
\\\\\\
x=871.5~inches
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\textit{there are 12 inches in 1 foot, thus }
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871.5~\underline{in}\cdot \cfrac{ft}{12~\underline{in}}\implies 72.625~ft 
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2 years ago

A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875

Mama L [17]

Answer:

$238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

(360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

(77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

$236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

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* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

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2 years ago

A triangle has interior angles measuring 36° and 112°. Which triangles are similar to this triangle? Select True or False for ea

morpeh [17]

Hi there!

Since the interior measures of triangles added up always equals 180 degrees, the other interior angle of the triangle must be 32 degrees.

180 - 112 - 36 = 32

So, any triangle with interior measures that measure any angles of 36, 112, and 32 degrees are similar.

<span>triangle with interior angles measuring 36° and 32° - true
triangle with interior angles measuring 36° and 148° - false
triangle with interior angles measuring 32° and 112° - true
triangle with interior angles measuring 112° and 148 - </span>false

Hope this helps!

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2 years ago

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