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inna [77]
3 years ago
12

Write an equation of the translation of y=3/x with asymptotes of x=7 and y= -5

Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0
The curve given has asymptotes at x=0 and y=0. We wish to move it right 7 units so the asymptote becomes x=7 and down 5 so the asymptote is y=-5

To move a function down 5 units subtract 5 from it. To move it right we subtract 7 from the independent variable (from the x). The new function is y=(3/(x-7))-5

y= (3 over (x-7)) then minus 5
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What is the area of the polygon ABCDE?
Setler [38]
The answer is 73.5

To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.

5 x 12 = 60 (rectangle area)

To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)

9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.

Add those two numbers and voila you have your answer of 73.5.
6 0
3 years ago
Find the surface area of the pyramid. The side lengths of the base are equal. Square pyramid with base edge of 12 centimeters, a
sdas [7]

Answer:

the surface area of the square pyramid is 576.66 cm^2

Step-by-step explanation:

The computation of the surface area of square pyramid is given below:

A = a^2  + 2a × √a^2 ÷ √4 + √h^2

where

a = 12 cm

h = 17 cm

Now put the value of a and h in the above formula

= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2

= 576.66 cm^2

hence, the surface area of the square pyramid is 576.66 cm^2

8 0
2 years ago
If the factory has available 270 tires, 90 frames, and 170 pedals, which item would limit the amount of complete tricycles that
Yuri [45]

Answer:

The pedals

Step-by-step explanation:

A tricycle requires 3 tires, 1 frame, and 2 pedals.

Divide all the amounts by the amounts needed for one tricycle.

270/3=90

90/1=90

170/2=85

The pedals can only be assembled onto 85 tricycles while everything else can be assembles into 90 tricycles.

7 0
3 years ago
Read 2 more answers
Put this into Slope Intercept Form<br> x + 6y = –6
mel-nik [20]

Answer:

y=-\frac{x}{6} -1

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

y=-\frac{x}{6} -\frac{6}{6}
We can simplify the fractions to become:

y=-\frac{x}{6} -1
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

6 0
2 years ago
Which equation represents an exponential function with an initial value of 500
WITCHER [35]
Exponential function is characterized by an exponential increase or decrease of the value from one data point to the next by some constant. When you graph an exponential function, it would start by having a very steep slope. As time goes on, the slope decreases until it levels off. The general from of this equation is: y = A×b^x, where A is the initial data point at the start of an event, like an experiment. The term 'b' is the constant of exponential change. This is raised to the power of x, which represents the independent variable, usually time.

So, the hint for you to find is the term 500 right before the term with an exponent. For example, the function would be: y = 500(1.8)^x.
7 0
3 years ago
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