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3 years ago

Find the quotient of 2 1/4 / 4/5

Mathematics

1 answer:

Masja [62]3 years ago

7 0

Answer:

2 13/16 is the answer

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5. What is the equation of the tangent line to the circle x^2+y^2=1 through the point (6,0)?

notka56 [123]

Answer:

There is no tangent line of the given circle at (6, 0).

Step-by-step explanation:

Given equation of the circle,

$x^2 + y^2 = 1$

∵ equation of a circle is $(x-h)^2 +(y-k)^2 = r^2$ ,

Where, (h, k) is the center of the circle and r is the radius,

By comparing,

Center of the given circle = (0, 0),

Radius of the circle = 1 unit

Now, check whether point (6, 0) lie on the circle,

if x = 6, $6^2 + y^2 = 1$

$36 + y^2 = 1$

$y^2 = 1- 36$

$y= i\sqrt{35}\neq 0$

i.e., (6, 0) does not lie on the circle,

Hence, there is no tangent line of the given circle at (6, 0).

3 0

3 years ago

Choose the correct graph of the function y= -8(2^x)

andriy [413]

Answer:

The graph should have a y-intercept of -8

Step-by-step explanation:

It seems like your question is incomplete, i can't see any options of graphs.

3 0

3 years ago

Please show all work with the answers please

kenny6666 [7]

Part A

The angle of elevation of the staire case is given by

$Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o$

Part B:

<span>If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

</span><span> $Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o$ </span>

5 0

3 years ago

This table represents a quadratic function.

Dimas [21]

Answer: D

Step-by-step explanation:

4 0

3 years ago

A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte

saul85 [17]

Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

Now you know how to find the coordinates of translated figures! Have a wonderful day! :D

5 0

3 years ago