(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?

Answers

Answer 1

Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

y ≤ –x^2 – 4

Here we do not have any options, so let's try to find a general solution.

First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.

(ED. 21) Analytic Geometry Unit Test..... #3 Which Point Is A Solution Of X2 + Y2 > 49 And Y X2 4?
Answer 2

Answer:

C on Edge or (1,-9)

Step-by-step explanation:


Related Questions

Graph the solution to the following system of inequalities.
y-2x-9
y<2x+7

Answers

Answer:

Tb bight by icing I jb Yves j by by by navy by iffy i by by by

please help (picture) its due in an hour

Answers

Answer:

a) 6x-8

b) -18x^2-15

c) x^4+2x^3+7x^2

chứng minh mệnh đề sau bằng phương pháp phản chứng:
" Nếu phương trình bậc hai ax2+bx+c=0 vô nghiệm thì a và c cùng dấu"

Answers

Answer:

Which language is this ?????

can you help me i got two wrong if I get one wrong I will have a falling grade

Answers

Answer:

the bottom left is wrong

Step-by-step explanation:

if u add 40+5+7/10+1/100 it'll only equal to 45.71

Answer:

40 + 5 + [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{100}[/tex] = 45.71

Step-by-step explanation:

The one needs to be in the thousandths place.

I need help right now this is urgent

Answers

The answer should be 188

2/4+1=1/6 x-7 what is the value of x in this epuation

Answers

X=51
I hope this is correct and is this the answer you’re looking for?

Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1

Answers

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

y=8200(0.96)^x growth or decay find

Answers

Answer:

This would be a .04 or 4% decay.....

for every "time unit" (x in this case) you will be multiplying

the amount by .96 ... in other words if you started with one dollar

the results would be 96 cents... after two "time" steps you would have

only 92 cents (.96 *.96)

Step-by-step explanation:

Ava volunteers at an animal shelter with 6 cats. She has 15 cat treats. She gives each cat the same number of treats, and she gives as many treats she can. how many treats does Ava give each cat? how many treats are left?

Ava gives each cat ____ treats. _____ treats are left.

Answers

Answer:

Ava gives each cat __2__ treats. __3___ treats are left.

Step-by-step explanation:

Answer:

2 treats n 3 are left

Step-by-step explanation:

Given m
n, find the value of x and y.
m
35°
x

X=
y =
PLS HELP I’m kinda really confused

Answers

Answer:

x = 145°, y = 35°

Step-by-step explanation:

Given,

m || n

So,

35° = y° [Alternate interior angles]

And,

y° + x° = 180° [Since linear pair]

=> x + 35 = 180

=> x = 180 - 35

=> x = 145°

Hence,

x = 145°, y = 35°

Answer:

x = 145

y = 35

Step-by-step explanation:

35 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel

35 = y

x+y = 180 because x and y form a straight line

x+35 = 180

x = 180-35

x = 145

A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?

Answers

Answer: [tex]V=0.0028278\ m^3[/tex]

Step-by-step explanation:

Given

Length of the pipe [tex]l=4\ m[/tex]

Inside diameter of the pipe [tex]d_i=4\ cm[/tex]

Outside diameter of the pipe [tex]d_o=5\ cm[/tex]

Volume of the pipe

[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]

Last question, thank you guys a lot for helping me out

Answers

Answer: Her earnings after taxes will be $415.80 (choice C)

How?

PER 1 HOUR: 0.77 x (13.50 x 1) = 0.77 x $13.50 = $10.395

PER 40 HOURS: 0.77 x (13.50 x 40h) = 0.77 x 13.50 x 40 = $415.80

Evaluate: 2-4 А. =100 В. -8 ОО С. -16 D. 1 16​

Answers

Answer:

D. 1/16

Step-by-step explanation:

Evaluate: 2^-4

А. =100

В. -8ОО

С. -16

D. 1/16

Given

2^-4

= 1 / 2⁴

= 1 / (2 * 2 * 2 * 2)

= 1 / 16

Therefore,

2^-4 = 1/16

D. 1/16

What are the first 5 terms?

Answers

Answer:

please can you specify which topic exactly is it on Arithmetric or Geometric Progression or on another topic

please kindly specify and send the question back

Thank you

Step-by-step explanation:

Answer:

5, 12, 19, 26, 33

Step-by-step explanation:

Using the recursive rule and a₁ = 5 , then

a₂ = a₁ + 7 = 5 + 7 = 12

a₃ = a₂ + 7 = 12 + 7 = 19

a₄ = a₃ + 7 = 19 + 7 = 26

a₅ = a₄ + 7 = 26 + 7 = 33

The first 5 terms are 5, 12, 19, 26, 33

14 A curve has equation y=x2 - 6x² + 16. Find the coordinates of the two turning points.

Answers

Step-by-step explanation:

there is something wrong with your problem description.

you really mean x² - 6x² + 16 ?

or is it 2x - 6x² + 16 ?

in any case this would be a squared equation, which does not have 2 turning points.

we would need an equation with x³.

for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.

Find the value of x.
A. 5
B. 31
C. 7
D. 11

Answers

Answer:

5

Step-by-step explanation:

EB is the median so it is the average of the top and bottom lengths

(38 + 6x-6) /2 = 7x-4

Combine like terms

(32+6x)/2 = 7x-4

Multiply by 2

32+6x = 14x-8

Subtract 6x from each side

32+6x-6x = 14x-6x -8

32 = 8x-8

Add 8 to each side

32+8 = 8x-8

40 = 8x

Divide by 8

40/8 = 8x/8

5 =x

Hunter pushed a couch across the room. He did 800 J of work in 20 seconds. The couch weighed 500 N. How much power did he have?
A . 40 W
B . 1.6 w
C. 16,000 w
D . 800 w

Answers

The answer is d Because if you take the 800+ the 20th I will give you 820 then plus the 500 then subtract another 20-10 divide 45 then you’ll end up with your original number 800

Factorise [tex]2t^2+5t+2[/tex]
and pls explain why 2t(t+2) becomes (2t+1) when you get to it in your working out ty

Answers

Answer:    [tex]\displaystyle\ \large \boldsymbol{ 2t^2+5t+2= {(2t+1) (t+2)}}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} 2t^2+5t+2=0 \\\\2t^2+\underbrace{4t+t}_{5t}+2=0 \\\\ (2t^2+4t)+(t+2)=0 \\\\ 2t(\underline{t+2})+(\underline{t+2})=0 \\\\ \boxed{(2t+1) (t+2)=0 }[/tex]

Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?

Answers

Answer:

2 solutions

Step-by-step explanat

ion:|2x-3|-|3x-2|=0

<=>|2x-3|=|3x-2|

<=>2x-3=3x-2

Or 2x-3=-3x+2

<=>2x-3x=-2+3

or 2x+3x=2+3

<=>x=-1

Or x=1

A number, y, is equal to the difference of a larger number and 3. The same number is one third of the sum of the larger
number and 9 Which equations represent the situation?
x+y 3 and - 3y -27
Oxxy-3
and-3--
Oy - 3
and-3--27
X-Y-3 and x-3y --9

Answers

Answer:

Set the larger number as x

"A number, y, is equal to the difference of a larger number and 3."

[tex]y=x-3[/tex]

You can rearrange this equation to find the matching answer choice:

[tex]y-x=-3\\x-y=3[/tex]

"The same number is one third of the sum of the larger number and 9."

[tex]y=\frac{1}{3} (x+9)[/tex]

You can rearrange this equation to find the matching answer choice:

[tex]y=\frac{1}{3} x+3\\3y=x+9\\3y-x=9\\x-3y=-9[/tex]

A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?

Answers

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25

What are the leading coefficient and degree of the polynomial?
-12x5–8+23x+3x

Answers

Answer:

d = 5      l = 12

Step-by-step explanation:

degree = 5

leading coefficient = 12

A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.

Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25

How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
16 pints
32 pints
128 pints
225 pints

Answers

Answer:

16 pints

Step-by-step explanation:

it seems like there's a pattern. when you divide x by 16, you get the result of y.

64/16 = 4

144/16 = 9

400/16 = 25

so to find the answer would be x/16 = y.

sqrt ft is x, pints is y.

we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.

256/16 = 16

therefore, your answer is 16 pints.

please subscribe to #Gauthmath# subreddit if ya can ^^

Answer:

16 pints

Step-by-step explanation:

I did it on edge.

Determine the point of intersection of the lines x + y = 4 and 2x + 3y = 12

Answers

Answer:

(2,2)

Step-by-step explanation:

x=4-y

2 ( 4 - y )+ 3y= 12

2y = 12 -8

y= 2

substitute y in first eq. :

x=4 - 2

x= 2

√576+(95/5)-∛125 SOLVE IT PLS

Answers

Step-by-step explanation:

really ? there is nothing to solve. only to calculate.

you have no calculator ? even the included apps on every computer system can do that.

that is a waste of both of our time.

24 + 19 - 5 = ?

I am sure you can figure that out.

Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°

Answers

Answer:

here's the answer to your question

Answer:

D) 40

Step-by-step explanation:

To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.

Anne bought 9m of ribbon.She used 1/3 of it to wrap some presents and gave 1/2m to her sister.How much ribbon Anne have?

Answers

Answer:

3 meters of ribbon left

Step-by-step explanation:

Since she used 1/3 of the ribbon. Do the following:

1/3 of 9 (Which equates to):

9/3 = 6 (6 meters of ribbon left)

Now do 1/2 of 6, as she gave her sister 1/2 of the remainder.

1/2 of 6 (Which equates to):

6/2 = 3 (3 meters of ribbon left)

simplify 1+tan^2x÷1+tan^2x​

Answers

Answer:

uihuii

Step-by-step explanation:

the range of the function y=secx-2 is all reals except

-1 1 -3 -2

Answers

Answer:

For a function y = f(x), the range is the set of all the possible values of y.

In the question you wrote:

y = secx - 2

This can be interpreted as:

y = sec(x - 2)

or

y = sec(x) - 2

So let's see each case (these are kinda the same)

If the function is:

y = sec(x - 2)

Firs remember that:

sec(x) = 1/cos(x)

then we can rewrite:

y = 1/cos(x - 2)

notice that the function cos(x) has the range -1 ≤ y ≤ 1

Then for the two extremes we have:

y = 1/1 = 1

y = 1/-1 = -1

Notice that for:

y = 1/cos(x - 2)

y can never be in the range  -1 < x < 1

As the denominator cant be larger, in absolute value, than 1.

Then we can conclude that the range is all reals except the interval:

-1 < y < 1

If instead the function was:

y = sec(x) - 2

y = 1/cos(x) - 2

Then with the same reasoning, the range will be the set of all real values except:

-1 - 2 < y < 1 - 2

-3 < y < -1

If a semi-circle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape?
Pyramid
Cylinder
Sphere
Cone

Answers

Answer:

Step-by-step explanation:

This rotation would create a sphere.

If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere.

What is a semi-circle?

A semicircle is a half-circle formed by a one-dimensional locus of points.

What is a sphere?

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.

If a semi-circle is rotated about the y-axis of the graph, then the resulting three-dimensional shape will be a sphere. This is because of the fact that when the semi-circle will be rotated about the y-axis then all the points will be at equal distance in all the directions from the centre.

Learn more about Sphere:

https://brainly.com/question/11374994

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