How many solutions exist for the system of equations in the graph?

How Many Solutions Exist For The System Of Equations In The Graph?

Answers

Answer 1

Answer:

Two solutions

Step-by-step explanation:

The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.

Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.


Related Questions

What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?

A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}

Is it D?

Answers

Answer:

A.{-2,3,1,5 } or D. {-2, -1, 0,5}

what is the hcf of 11, 13 and 5

Answers

Answer:

1

Step-by-step explanation:

The factors of 5 are: 1, 5

The factors of 11 are: 1, 11

The factors of 13 are: 1, 13

Therefore the greatest/highest common factor is 1.

2. What is the slope of the line 2x + y = 8?

Answers

Answer:

Using the slope-intercept form, the slope is 2 .

Y=8-2x so the slope should be -2x

The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240​

Answers

Answer:

2400

2640

360

Step-by-step explanation:

the retailer has to sell it for the same price as the dealer.

so, both mark it for 2400 sale price.

if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.

2400 = 100%

1% = 2400/100 = 24

15% = 24×15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

the final price is then including 10% VAT

2400 = 100%

10% = 24×10 = 240

final price = SP + VAT = 2400 + 240 = 2640

in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your numerical answers without units in each blank.

Answers

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The [tex]m\angle CAB[/tex] and [tex]m\angle CAD[/tex].

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

[tex]m(arcADC)=m(arcAD)+m(arcDC)[/tex]

[tex]228^\circ=180^\circ+m(arcDC)[/tex]

[tex]228^\circ-180^\circ+=m(arcDC)[/tex]

[tex]48^\circ+=m(arcDC)[/tex]

The measure inscribed angle is half of the corresponding subtended arc.

[tex]m\angle CAD=\dfrac{1}{2}\times m(arcDC)[/tex]

[tex]m\angle CAD=\dfrac{1}{2}\times 48^\circ[/tex]

[tex]m\angle CAD=24^\circ[/tex]

AB is the tangent. So, [tex]m\angle BAD=90^\circ[/tex] because radius is perpendicular on the tangent and the point of tangency.

[tex]m\angle BAD=m\angle CAB+m\angle CAD[/tex]

[tex]90^\circ=m\angle CAB+24^\circ[/tex]

[tex]90^\circ -24^\circ=m\angle CAB[/tex]

[tex]66^\circ=m\angle CAB[/tex]

Therefore, [tex]m\angle CAB=66^\circ[/tex] and [tex]m\angle CAD=24^\circ[/tex].

4x-5y+2x+4+6+9y+7x+2​

Answers

Answer:

[tex]13x+4y+12[/tex]

Step-by-step explanation:

Combine all the like terms & then solve:

[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]

[tex]13x+4y+12[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]

Combining like terms, we have

= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]

= [tex] \: 13x + 4y + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 18°33'. When the boat stops, the angle of depression is 51°33'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place. HELP

Answers

Answer:

51.33

Step-by-step explanation:

Step-by-step explanation

The angle of depression from the lighthouse is the angle of elevation from the boat. The line of sight from the top of the lighthouse, when depressed, becomes an alternate interior angle of two parallel lines, the line of sight from the top and the boat's movement.

From the boat's standpoint, which is what we want anyway, there is a right triangle, with the distance from the lighthouse the adjacent side, the opposite is 200,' and the boat the point desired. The tangent is needed.

From the boat's standpoint, which is what we want anyway, there is a right triangle, with the distance from the lighthouse the adjacent side, the opposite is 200,' and the boat the point desired. The tangent is needed.tangent 18.33 degrees (33 minutes is 33/60 of a degree)=200x

Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?

Answers

Answer:

38.92 dollars

Step-by-step explanation:

can you help me get the answer for this Q, please :)

Answers

honestly math is hard at but i need points so that’s why i’m here so i hope this works


Which answer can be used to find the solution to the system of equations?

Answers

Answer: is b

Step-by-step explanation:

the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?

Answers

Answer:

Sundeep will arrive in Barcelona at 12pm

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

Ty

Step-by-step explanation:

=0.56x−0.25n=0.20x−0.03

m

=

0

.

56

x

-

0

.

25

n

=

0

.

20

x

-

0

.

03




​Find the sum of m and n. Show all work of explain how you solved

Answers

Given:

[tex]m=0.56x-0.25[/tex]

[tex]n=0.20x-0.03[/tex]

To find:

The sum of m and n.

Solution:

We have,

[tex]m=0.56x-0.25[/tex]

[tex]n=0.20x-0.03[/tex]

The sum of m and n is:

[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]

Combining the like terms, we get

[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]

[tex]m+n=(0.76x)+(-0.28)[/tex]

[tex]m+n=0.76x-0.28[/tex]

Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].

In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90

Answers

Answer:

(b) 360 degrees

Step-by-step explanation:

Required

The central angle

The central [tex]angle[/tex] of a circle is [tex]360^o[/tex]. This implies that the central [tex]angle[/tex]of the pie chart is also [tex]360^o[/tex], because a pie chart is always in [tex]form[/tex] of a [tex]circle.[/tex]

Help and explain pleaseeeeeeeeee

Answers

Answer:

if f(n) = 4n + 7 and g(n) = 2n + 3, find (g-f)(n)

-2n - 4

f(x) = 2x - 3 and g(x) = 5 - 2x, find f/g (x)

2x - 3 / 5 - 2x

Step-by-step explanation:

Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.

Base 72; percentage 12

Percentage 28; base 224

Base 20; percentage 40

Base 44; percentage 99

Percentage 126; base 8400

Answers

Answer:

The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.

Step-by-step explanation:

To find the rate, or percent, for each of the following items, the following calculations must be performed:

1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6

2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5

3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200

4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225

5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5

Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.

Answer:

Step-by-step explanation:

Alana, a talk show host, invited The studio audience to voice their opinions on raising The driving age. Of the 10 audience members who chose to speak, seven of them were against the idea. Is this sample of the audience members likely to be biased. Yes or no please help fast !!!

Answers

Answer:

they might be since they could be like 16 and if it was raised they couldn't drive any more

Answer:

Yes, there is a high chance that this sample is biased since our pool of participants is not random.

Step-by-step explanation:

The population from which the talk show host drew is not representative of the entire country's population. Being a part of the live studio audience, these viewers are not considered a random sample and may be influenced by the opinions of the talk show due to response bias, specifically a desire to please bias.

HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of David’s data is shown.
Music Club: This club has the same number of members older than 16 and younger than 16.
Physics Club: This club has the greatest number of older members.
Sports Club: This club has the greatest number of younger members.
History Club: This club has the oldest member enrolled.
David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles.

Answers

Answer:

Music club last box

Reason: There are equal number if members

Physics club first box

Reason: There are more older than young people

Sports Club third box

Reason: There are more younger people than older people

History Club takes the second box

Step-by-step explanation:

Hope this helps please like and mark as brainliest

9. How many perpendiculars can we draw to a line from a given point outside the line?
O A. 3
O B. 2.
O C.O
D. 1

Answers

Answer:

The answer is D. 1. You can form only 1 perpendicular line.

D is the right answer

Suman and Narayan riding bikes towards each other they are 480 Km apart. The speed of Narayan is 6km/hr faster than Suman. If both meet each other after 6hours find there speeds when both started at same time.​

Answers

Answer:

Suman 37 km/hr

Narayan 43 km/hr

(extremely sorry if this is wrong!!)

Step-by-step explanation:

We can use the formula distance divided by time is speed.

480/6 = 80.

Their speeds must add up to 80 km/hour

Lets set suman as a variable, lets say s.

Narayan has a speed 6 more than suman so we say 6+s

6+s+s = 80

subtract 6 from both sides

s+s = 74

add like terms

s+s = 2s

2s = 74

divide both sides by 2.

74/2=37

s=37

Suman's speed is 37 km/hr.

Narayan's speed would be 6 more than Suman's so we do 6+37

which makes 43 km/hr

given a rectangular has a length of 58.5 m and widht of 45 m. Draw a diagram with scake if givrn scale drawing is 1 cm:9m​

Answers

Answer:

In picture

Step-by-step explanation:

Brainliest please

The value of the expression when x equals 12/7 is..

Answers

Answer:

x = 82

Step-by-step explanation:

1/3(12/7 + 9/7) + 3⁴ =

1/3(21/7) + 3⁴ =

1/3(3) + 3⁴ =

1 + 81 = 82

The volume of the rectangular prism is how many cubic centimeters

Answers

The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.

Answer:

The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.

what is the circumference of a circle diameter of 6 feet?use 3.14 for n

Answers

Answer:

18.84 feet.

Step-by-step explanation:

The formula for the circumference of a circle is:

2Pi*radius

The radius would be half the diameter so 3.

2*3.14*3

Help pleaseee Thankyou so much!

Answers

Answer:

b = [tex]\frac{2A}{h}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( isolate b by dividing both sides by h )

[tex]\frac{2A}{h}[/tex] = b

A rectangle has a length that is 8 less than it’s width w the perimeter is 52 which equation can be used to determine length

Answers

Answer:

width?

8-W-52

2(w-8) +2w=52

(W-8)+W=52

2(8-W) +2w=52

Find the value of L in the equation.
s=(n÷2)(a+L)

Answers

Answer:

2s/n-a=L

Step-by-step explanation:

So first we divide (n÷2) so it will be s/(n÷2) =a+L. Next we subtract L and get s/(n÷2)-a. That's not it yet, since 2 is being divided in the denominator, we have to reciprocal it meaning multiply, it to the top value. So it would 2s/n-a=L. But you can just leave it like that if you desire and your teacher doesn't mind.

You throw a stone with a force of 55.1 N. It accelerates at 41.6 m/s2.
Find the mass of the stone in kg. Round your answer to 1 decimal place.

Answers

Answer:

Mass = 1.3 Kilograms.

Step-by-step explanation:

Given the following data;

Force = 55.1 N

Acceleration = 41.6 m/s²

To find the mass of the stone in kg;

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

Substituting into the formula, we have;

55.1 = mass * 41.6

[tex] Mass = \frac {55.1}{41.6} [/tex]

Mass = 1.3 Kilograms

Please help as soon as possible! Round your answers to one decimal place, if necessary. Find the mean and median of these data: 2, 5, 13, 15, 18, 20. tysmmm!

Answers

Answer:

Mean= 12.2

Median= 14

Step-by-step explanation:

The mean of the data can be calculated as follows

= 2+5+13+15+18+20/6

= 73/6

= 12.2

Mean= 12.2

The median can be calculated as follows

Arrange the numbers in an orderly way

2, 5, 13, 15, 18, 20

= 13+15/2

= 14

Median= 14

Help! Will mark brainliest!!!!

Answers

Answer:

(6x²+13x+6) ÷ (2x+3) sq in

Step-by-step explanation:

Volume = base × height

6x³+13x²+6x = (2x²+3x)h

Divide both sides by (2x²+3x)

(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)

By Factorization

x(6x²+13x+6) ÷ x(2x+3) = h

h= (6x²+13x+6) ÷ (2x+3)

Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in

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