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3 years ago

What is the equation of the line that is parallel to the given

Mathematics

1 answer:

Viefleur [7K]3 years ago

8 0

Answer:

Any option that shares the same slope as the given line will be parallel to that line.

Step-by-step explanation:

I don't understand how your answers are laid out, so I can't give you the exact answer. But Slope-intercept form is y = mx +b, so any equation sharing the same slope (m), will be correct/parallel.

for example, if the given line is

y = 5x - 12

then the line

y = 5x + 23

will be parallel to y = 5x - 12.

The shared slope in this example is 5.

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What is a slope, what does it mean?

Klio2033 [76]

Answer:

Step-by-step explanation: There are many ways to think about slope. The slope of a line is the steepness of the line. It can be also right Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line

4 0

3 years ago

Read 2 more answers

Evaluate the limit of lim/n->infinity 6n^2+5/3n^2

castortr0y [4]

we are given

$\lim_{n \to \infty} \frac{6n^2+5}{3n^2}$

we can see that

degree of numerator = degree of denominator =2

so, we can divide both numerator and denominator by n^2

and we get

$\lim_{n \to \infty} \frac{(6n^2+5)/n^2}{(3n^2/n^2)}$

$\lim_{n \to \infty} \frac{(6n^2/n^2)+(5/n^2)}{(3n^2/n^2)}$

now, we can simplify it

$\lim_{n \to \infty} \frac{6+(5/n^2)}{3}$

now, we can plug n=inf

$= \frac{6+(5/(\infty))}{3}$

$= \frac{6+0}{3}$

$= \frac{6}{3}$

$= 2$ ...............Answer

6 0

3 years ago

Read 2 more answers

H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0

Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

6 0

3 years ago

The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

valentina_108 [34]

Answer:

Marina, Wuhan center, Zifeng Tower , Shangai Tower

Step-by-step explanation:

Using the z-scores of the Shangai tower and the Marina, we can calculate their heights

Mathematically, the z-score or standard score can be calculated as follows

Zscore = X - μ/σ

where σ and μ represents the standard deviation and the population mean respectively.

For Shaghai Tower ;

1.27 = (X - 1667.25)/318.31

318.31 × 1.27 = X - 1667.25

404.25 = X - 1667.25

X = 1667.25 + 404.25 = 2071.50

The height of the Shaghai Tower is 2071.50 feet

For Marina, we use the same procedure;

-0.84 = (X - 1667.25)/318.31

318.31 × -0.84 = X - 1667.25

-267.38 = X - 1667.25

X = 1667.25 - 267.38 = 1399.87

The height of Marina building is 1399.87

Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower

The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.

Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean

6 0

3 years ago

alaina owes her mom $15 and her friend $27. then she babysat and earned $35. how much more money does alaina need to earn in ord

tino4ka555 [31]

35 - 27 = 8

15 - 8 = 7

She just payed off her best friend and has $8 left.

So she needs to earn $7 more to pay off the $15 she owes her mom

4 0

3 years ago