Based on the type of equations in the system, what is the greatest possible number of solutions? x^2+y^2=9
9x+2y=16

Based On The Type Of Equations In The System, What Is The Greatest Possible Number Of Solutions? X^2+y^2=99x+2y=16

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The possible number of solutions is 2.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are x² + y²=9 and 9x+2y=16

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as x² + y²=3²

It is the standard form of a circle , where (h,k) is center and r is radius.

(x-h)² +(y-k)² =r² where (h,k) is center and r is radius.

In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is 9x+2y=16

It is a linear equation.

Table of values.

x    y

0    8

1     3.5

2    -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Hence, the possible number of solutions is 2.

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Based On The Type Of Equations In The System, What Is The Greatest Possible Number Of Solutions? X^2+y^2=99x+2y=16

Related Questions

In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the missing leg. Formula and diagram required. Include units in your answer.

Answers

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

Answer:

22.36

Step-by-step explanation:

For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,

→ a² + b² = c²

⇒ Substitute in the values

→ 20² + b² = 30²

⇒ Simplify

→ 400 + b² = 900

⇒ Minus 400 from both sides to isolate b²

→ b² = 500

⇒ Square root both sides to find the value of the leg

→ b = 22.360679775 cm

The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.

Please help me with the answer I need help

Answers

Answer:

+30 +-25

Savings is positive

Buying is negative

Step-by-step explanation:

+30 saved

-25 to buy

+30 +-25

Savings is positive

Buying is negative

30+(-25) that is your answer

What is the distance between (-1, 4) and (5, 4)?
Draw a line connecting the points. This is a
line.
The points have the same
To find the distance, use the expression
The distance between the points is
units.

Answers

Answer:

1)Horizontal

2)y-coordinates

3)|-1|+|5|

4)6 units

Step-by-step explanation:

Hope this helps :)

The  distance between (-1, 4) and (5, 4) is 6 units.

The given Coordinate points are (-1, 4) and (5, 4).

The points are considered as (x1,y1) and (x2,y2).

Here,

x1 = -1 and x2 = 5

y1 = 4 and y2 = 4

Now

[tex]Distance = \sqrt{(x2 - x1)^2 - (y2- y1)^2\\\\= \sqrt{(5 +1)^2 - (4 - 4)^2} }\\\\= \sqrt{36}[/tex]

= 6

Learn more: https://brainly.com/question/25914450?referrer=searchResults

QUICK!!! HELP WILL MARK BRAINLIEST!!!!! ANSWER BOTH QUESTIONS!!!!!!

Answers

Both c I’m sorry if I get it wrong I’m pretty sure it’s c for both

An escalator in a department store rises 80 feet at a 32 degrees angle, what is the distance x, from the bottom of the escalator to the top of the escalator to the nearest foot.

Answers

Answer:

150.94 or 151 ft

Write an expression equivalent to 8-3

Answers

Step-by-step explanation:

8 - 3 = 5

you can write any two numbers that also equal to 5.

6-1 = 5

200 - 195 = 5

4 - (-1) = 5

9000 - 8995 = 5

Explain the students mistake

Answers

on the right hand side of the equation they added the 6 to 10 instead of subtracting

Which two points have a undefined slope

A.(-1, 1) and (1, -1)

B.(-2, 2) and (2,2)

C.(-3, -3) and (-3,3)

D.(-4,-4) and (4, 4)

Answers

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

   =( 3- -3)/(-3 - -3)

   (3+3)/(-3+3)

   6/0

  undefined

Answer: C

Step-by-step explanation:

PLEASE HELP!!! ILL GIVE THE BRIANLIEST TO TO WHOEVER ANSWERS CORRECTLY!!!!!!!

O A. 215.547
O B. 234.989
O C. 238.989
O D. 134.589

Answers

Answer:

B

Step-by-step explanation:

The range is the largest number minus the smallest number.

Hope this helps!


A.) 4.7 feet
B.) 6.5 feet
C.) 30.7 feet
D.) 5.5 feet
E.) 22.3 feet

The roller coaster cars are designed as shown, with a yellow racing stripe along the diagonal of the parallelogram face. Determine the length of the racing stripe.

Answers

Answer:

B

Step-by-step explanation:

6.5ft I'm sure that's the answer

Write the value of the expression 3^3/3^6

Answers

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

Helen is choosing a main course and a dessert in a restaurant.
There are 6 main courses and 8 desserts to choose from.
Work out the number of combinations available to Helen.

Answers

Answer:48

Step-by-step explanation:

6*8 shows the c9nbonations of just then 2 together

Find f(-2) for f(x) = 2(4)”.
O A.
100
B. -16
1
O c.
16
O D. -32

Answers

Answer:

Its A

Step-by-step explanation:

A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
points. Irina got a score of 95 points on the exam.
What proportion of exam scores are lower than Irina's score?
You may round your answer to four decimal places.

Answers

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

Data

mean: 80 pointsstandard deviation (sd): 6 pointsvalue of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

Answer: 0.9938

Step-by-step explanation:

What is an easy way to remember what a box plot it

Answers

Answer:

A box and whisker map is a diagram that shows details from a five-part description. It is also called a boxplot. There was an mistake. This form of diagram demonstrates the structure, core importance and volatility of the distribution.

Step-by-step explanation:

Hope this helps

40 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP

Answers

Answer:

number of boys who walk to school = 16

Step-by-step explanation:

Chart:

Sudents | Walk | Ride | Total

Girls       | 22     | 29    | 51

Boys      | x        | 9      | 25

Total     | x+22  | 38    | 76

Given f(g(x)) = 15x+1 and f(x) = 5x+1. What is g(x)?

Please answer quickly!!

Answers

Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))".

Answer the questions attached:

Answers

1. I'm not completely sure, but these angles seem to be complementary, meaning they add up to 90°. Since 75° + x = 90°, x = 15°.

2. These lines seem to be parallel. ∠4 ≅ ∠1 because they are vertical angles, ∠5 ≅ ∠1 because they are corresponding angles, and because ∠8 ≅ ∠4 (corresponding angles), ∠8 ≅ ∠1 as well. The final answer is ∠4, ∠5, and ∠8. Hope this helps!

Look at the attached picture

Hope it will be helpful to you....

Good luck on your assignment

~pragya

PLS HELP NOW ! WILL MARK BRAINLIEST AND 5 STARS
2x-3/4 + x = 2x+3/2 + 9
^ and ^ are FRACTIONS

Answers

Answer:

x = 45/4

Step-by-step explanation:

2x - 3/4 + x = 2x + 3/2 + 9

- 3/4 + x = 3/2 + 9

- 3/4 + x = 21/2

x = 21/2 + 3/4

x = 45/4

A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What are the dimensions of the original picture? 3 inches by 5 inches 3 inches by 15 inches 6 inches by 12 inches 27 inches by 45 inches

Answers

Answer:

3 inches by 5 inches.

Step-by-step explanation:

The scale factor is 3 so the original lengths are 1/3 of the enlarged , so the answer is 9/3 by 15/3

= 3 by 5.

The dimensions of the original picture is 3in by 5in

Scale factors and dimension

Let the original dimension of the drawing be x in by y in

If the dimension of the enlarged picture is 9 inches by 15 inches after using a scale factor of 3, then;

x = 9/3  = 3in

y = 15/3 = 5in

Hence the dimensions of the original picture is 3in by 5in

Learn more on scale factors here: https://brainly.com/question/10253650

What is the solution to the equation 3 1/2+ p = 5 1/4 ?

p =
p = 2
p =
p = 1

Answers

P=4 and 4 of the 5 equals 78

Answer: D. P = 1 3/4

Step-by-step explanation:

Line Segment AB has a slope of 1/3 and line segment CD has a slope of 1/3. This proves that
1. Line segment AB is congruent to line segment CD
2. Line segment AB bisects line segment CD
3. Line segment AB is parallel to line segment CD
4. Line segment AB is perpendicular to line segment CD

Answers

Answer:

3

Step-by-step explanation:

Parallel lines have equal slopes, thus

line AB is parallel to line CD

-7 + (-40) =

What is the sum?

Answers

Answer:

-47

Step-by-step explanation:

-7+(-40)=

-7-40=

-47

Hope this helps!

The sum of -7 + (-40) is -47.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

An expression,

-7 + (-40).

To find the sum:

-7 + (-40),

Simplifying,

-7 - 40

= -47.

Therefore, the value is -47.

To learn more about the addition;

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Justin Bieber has a dinner that costs $50.00. He wants to leave a 10% tip. How much is the tip?​

Answers

Answer:

$5

Step-by-step explanation:

0.1*50=5

Answer:

$5

Step-by-step explanation:

50 x 0.1 = 5

What is the volume of a sphere with a radius of 21 units?
A. 9261 pie units 3
B. 12,348 pie units 3
C. 588 pie units 3
D. 37,044 pie units 3

Answers

Answer:

B

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus

V = [tex]\frac{4}{3}[/tex]π × 21³

   = [tex]\frac{4}{3}[/tex]π ×9261 = [tex]\frac{4(9261)}{3}[/tex]π = 12348π units³ → B

Answer: B: 12,348π units³ which is 38,772.72 units³

Step-by-step explanation:

The formula of the volume of a sphere is V = [tex]\frac{4}{3}[/tex]πr³

Since we know that the radius is 21, we can fill in the given numbers:

V =  [tex]\frac{4}{3}[/tex]π(21)³

Now, the new formula is V =  [tex]\frac{4}{3}[/tex]π(9,261) = 38,772.72

The width of a poster is 8cm less than the length. The perimeter is more than 184
cm. If the length and width are both integers, what is the minimum dimension for
the length?

Answers

Answer:

Denote the length is a, then the width is a - 8.

The perimeter is more than 184:

=> 2 x ( a + a - 8) > 184

=> 2a - 8 > 92

=> 2a > 100

=> a > 50

=> a = 51

=> Minimum dimension for the length: a = 51

Hope this helps!

:)

Help me with this please

Answers

Answer:

There is one variable and that is x

Please mark Brainliest if this helps!

Answer:

There are 3 variables

Step-by-step explanation:

7 (x) X is a variable your equation holds Three X's

Help me please I’m stuck

Answers

So the right answer is 60%

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

The answer would be 60%.Goodluck!

∠A and \angle B∠B are complementary angles. If m\angle A=(x+9)^{\circ}∠A=(x+9)

and m\angle B=(7x-15)^{\circ}∠B=(7x−15)

, then find the measure of \angle B∠B.

Answers

Answer:

To find the complement of an angle x, subtract x's measurement from 90 degrees: 90 degrees - x degrees = the measure of x's complementary angle. To find the supplement of an angle y, subtract y's measurement from 180 degrees: 180 degrees - y degrees = the measure of y's supplementary angle.

Step-by-step explanation:

Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.2
S
S
She doesn't have enough
information to do this.
Divide 225 by 4.
Find the positive square
root of 225.
Divide 225 by 2.​

Answers

Answer:

ugh man do I hate iready!!

225/4=56.25

square root of 225 equals 15

225 / 2 equals 112.5

Answer: it’s find the positive square root of 225: I did iReady

Step-by-step explanation:

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