by drawing the graph of x^2 +y^2 = 4 and the line x+y=2 solve x^2 y^2 = 4 x+y=2
Answers
The solutions to the system of equations x² + y² = 4, x + y = 2 are given as follows:
(0,2) and (2,0).
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
The equations for this problem are given as follows:
x² + y² = 4 -> circle of radius 2.x + y = 2 -> decaying line with intercepts (0,2) and (2,0).The two functions intersect at the intercepts of the line, as shown by the image presented at the end of the answer, which are the solutions to the system of equations.
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
Related Questions
Find the percent of change. Round to the nearest
tenth, if necessary. Then state whether the percent of
change is an increase or a decrease.
30. From 55 lb to 24 lb
Answers
Answer:
Decease in weight by 56.4%
Step-by-step explanation:
From 55 lb to 24 lb,
There is a decrease in the weight from 55 lb to 24 lb.
For the percentage decrease in weight,
Change in weight = 55 - 24
= 31 lb
Percentage change in weight = [tex]\frac{\text{Total change}}{\text{Initial value}}\times 100[/tex]
= [tex]\frac{31}{55}\times 100[/tex]
= 56.36%
≈ 56.4%
Therefore, there is a decease in weight by 56.4%.
SOMEONE PLSSSS HELP ME!!!!!!!!!!!!!!!!!!!!
Answers
Help i will give brainlist. The quotient of 2 and g is 8 can u pls show me step by step ty
Answers
Answer:
16
Step-by-step explanation:
Set up the equation: g/2 = 8
We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).
End up with: g = 16
Hope this helps :)
PLEASE ANSWER ALL BIG REWARD
Dilations involve ________ the scale factor and the pre–image ordered pair(s)? *
adding
dividing
subtracting
multiplying
All dilations produce _______. *
similar figures
vertical figures
congruent figures
supplementary figures
The rule to describe a dilation is written in _________. *
a list
scale factor
arrow notation
slope-intercept form
Which of the rules below would create a reduction/compression? *
(x, y) (–3x, –3y)
(x, y) (3.2x, 3.2y)
(x, y) (x + 9, y + 9)
(x, y) (0.23x, 0.23y)
Which of the following rules below do NOT represent a dilation? *
(x, y) --> (2x, 4y)
(x, y) --> (–8x, –8y)
(x, y) --> (1/2x, 1/2y)
(x, y) --> (3x, 3y)
(x, y) --> (1.2x, 1.2y)
In the diagram below, triangle ABC will be dilated with the origin as the center of dilation by a scale factor of 1/2. What will be the coordinates of A'? *
Captionless Image
(0, 3/2)
(12, 6)
(3, – 3/2)
(–1, –5/2)
A line segment with endpoints D (–6, –5) and E (3, –4) is dilated by a scale factor of 2. Which statement below is true? *
The line segment has become longer with endpoints D' (-12, -10) and E' (6 -8).
The line segment has become shorter with endpoints D' (-12, -10) and E' (6 -8).
The line segment has become longer with endpoints D' (-3, -5/2) and E' (3/2, -2).
The line segment stays the same length with endpoints D' (-3, -5/2) and E' (3/2, -2).
Write a rule to describe the dilation below. *
Captionless Image
(x, y)→ (1/2x, 1/2y)
(x, y)→ (1/3x, 1/3y)
(x, y)→ (3x, 3y)
(x, y)→ (2x, 2y)
If the scale factor k = 1/9 the resulting dilation will be a/an *
enlargement
reduction
If the scale factor k = 3 the resulting dilation will be a/an *
enlargement
reduction
Answers
Answer:
multiplying similar figures scale factor (x, y) (–3x, –3y) and (x, y) (0.23x, 0.23y) (x, y) --> (2x, 4y) Need diagramA. The line segment has become longer with endpoints D' (-12, -10) and E' (6 -8).Need imageReductionEnlargementgood luck, i hope this helps :)
what is
2x(8+12)-5
tell if you know what it is
Answers
Answer:
40x-5
Step-by-step explanation:
can you help me please
Answers
Answer:
With what?
Step-by-step explanation:
Can I have a brainliest pls pls pls
I need the correct answer please to this pic
Will mark you brainliest for the correct answer
Need the answer asap!! Please!!!!!1
Answers
Answer:
False because both 2 and 8, and 3 and 5 are alternate interior angles
5d=10d-20 please answer quickly
Answers
Answer:
D = 4
Step-by-step explanation:
None
Answer:
4
Step-by-step explanation:
Subtract 10d from both sides
5d-10d=-5d
-5d=-20
d=4
1.
[tex]16 \frac{3n}{4} \div 18 \frac{5n}{4} \times {4}^{n + 2} [/tex]
simplify
2.
[tex] {2}^{2y} = 6( {2}^{y)} - 8[/tex]
Find the value for y
3.
[tex] {2}^{2x + 1} - 15( {2}^{x}) - 8 = 0[/tex]
Solve the equation
I will mark you brainliest
Answers
Answer:
1. (5n^2 x4^n+2)/ 6
2. y=1 y=2
Step-by-step explanation:
Please help..! Find x and y
Answers
Because you set 7x - 23 equal to 5x + 11 then solve to get 17.
Then you substitute 17 for x in 7x - 23 to get 96.
Then set 96 + 10y - 6 equal to 180 and if you solve that you get Y is 9.
Answer:
17
Step-by-step explanation:
10y+7x-29=10y+5x+5
7x-29=5x+5
2x-29=5
2x=34
x=17
write an equation of the line that passes through (0 0) and (2 6)
Answers
Answer:
y = 3x
Step-by-step explanation:
Slope equation:
y2 - y1
--------
x2 - x1
----------------------------------------------------------------------------------------------------------------
6 - 0 6
m = ----------- = ----- = 3
2 - 0 2
Your slope is 3.
----------------------------------------------------------------------------------------------------------------
Equation:
y = mx + b
Plug in the slope and you get:
y = 3x + b
----------------------------------------------------------------------------------------------------------------
Now to find b, you can use either coordinate point. So I will show you both ways :)
(0,0) (2,6)
0 = 3(0) + b 6 = 3(2) + b
Multiply 0 and 3 Multiply 2 and 3
0 = 0 + b 6 = 6 + b
Subtract 0 to 0 Subtract 6 from 6
0 = b 0 = b
There is no y-intercept
----------------------------------------------------------------------------------------------------------------
Your answer: y = 3x
Hope this helped :)
A shelf has different sizes of bottles of laundry detergent. This line plot shows the number of cups of laundry detergent in each bottle. Eric buys the kind of detergent that has the most bottles. He uses 18 cup for every load of laundry he does. How many loads of laundry can Eric do with his bottle of laundry detergent? Enter your answer in the box. Loads
Answers
Answer:
2 / 3 loads
Step-by-step explanation:
From. The plot, we can conclude that, the detergent that has the most bottles is that with 5 ; the number of cups in the detergent with 5 bottles is 12 cups
Number of cups used for each load of laundry = 18 cups
The loads of laundry Eric can do is thus :
Number of cups of detergent / number of cups used for each load of laundry
= 12 / 18
= 2 / 3 loads
Answer:
1 1/2
Step-by-step explanation:
I took the test
You go to the store to buy a Playstation 5 which cost 499 dollars. If you had to
pay San Jose's sales tax which is 9.25%. How would you solve the problem to find
the total cost? *
What is the total cost?*
Answers
Answer:
$545.1575
Step-by-step explanation:
Given function:
499,9.25Solve ways:
combine 9.25% of 499 and 499Multiply 9.25 by 0.01:
[tex]9.25%[/tex]·[tex]0.01=0.0925[/tex]Multiply the cost by 0.0925:
[tex]499[/tex]·[tex]0.0925= 46.1575[/tex]Combine 46.1575 by the first value:
[tex]499+ 46.1575= 545.1575[/tex]Therefore, the PlayStation 5 will be a total cost of $545.1575.
Plzzzzzzzzzzzzzzzz helllppppppp meeeeeeeeee
Answers
Answer:
-1
Step-by-step explanation:
5 to the 2nd power is the same as 5 times 5... so, 24 - 25 is -1.
How do you do this equation?
2(m+7)= blank m+ blank
Use properties of operations to complete the equivalent expression.
Answers
Answer:
2m + 14
Step-by-step explanation:
2(m+7)
2m + 14
help pls ok fast pls
Answers
Answer:
I would say the last one. If its wrong then its definitely option 9y/3
Sorry if its wrong :(
Which ratios from the list are equivalent to 30/50 answer choices 9/15,5/3,150/250,12/20,33/55.
Answers
Answer:
150/250
Step-by-step explanation:
If the probability of a cup drink being rasberry flavour is 0.29, what is the probability of a cup drink being cola flavour?
Answers
Answer: 0.71
Step-by-step explanation:
Since we have just two flavors, the probability of a cup drink being cola flavour will be calculated below:
P(R) + P(C) = 1
0.29 + P(C) = 1
P(C) = 1 - 0.29
P(C) = 0.71
Therefore, the probability of a cup drink being cola flavour is 0.71.
please help!! will give brainliest!!!!
100,78,93,84,91,100,82,79
what is the MAD?
A. 7.625
B.61
C.88.4
D.8
Answers
Answer:
The correct answer is A. 7625
In Las Vegas, a particular sports bet has about a 30% chance of winning. If the bet wins, the bettor will win 15
dollars. If the bet loses, the bettor will lose 10 dollars.
The expected return of placing one of these bets is -2.50 dollars.
Which of the following statements are true?
Choose all answers that apply:
The average return per bet from 2 of these bets must be exactly -2.50 dollars.
It is possible for a bettor to place 2 of these bets and win both of them.
If a bettor places a large number of these bets, they should expect to average a return of about
-2.50 dollars per bet.
Answers
Answer:
b and c
Step-by-step explanation:
i got it right on my khan academy
Y=3/2x+1/6 I need help?
Answers
Answer:
4/8
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
3/2x+1/6=3/12x=4x
The sum of 4 and the product of 5 and x is equal to 5 less than the product of 2 and x. What is the value of x?
Answers
Answer:
b. -3
Step-by-step explanation:
i hope this helps :)
Lindas aunt zoe charges her a nominal amount for watching her two children aunt zoe charges $2.50 per day plus $1.75 per hour one day linda paid her aunt $14.75 how many hours did aunt zoe watch the children
Answers
Answer:
7 hours
Step-by-step explanation:
the function of the earning of Zoe = 2.50 + 1.75h
2.5 = base fixed amount
1.75 varies based on the hours
h = hours
2.50 + 1.75h = 14.75
to solve for h
subtract 2.5 from both sides and then divide by 1.75
14.75 - 2.5 = 1.75h
12.25 = 1.75h
h = 7
Help ASAP nowwwwww
Please and thank you
Answers
Answer:
y = -1/2x + 5
Step-by-step explanation:
Parallel slope = -1/2
The y-intercept can't be the same so C is the only option
Answer:
C. y = -1 /2x + 5
Step-by-step explanation:
Hope this will help
is 7^2 greater then or less than 3^4?
Answers
Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81
Answer: less
Step-by-step explanation: 7^2 is 49 and 3^4 is 81....
Estimate a 15% tip for a $26.40 restaurant bill
a) $1.50
b) $6.00
c) $8.00
d) $4.00
Answers
Answer:
$4.00
Step-by-step explanation:
because 15% of 26.40 is 3.96 which is closest to $4.00
ONLY SERIOUS ANSWERS!!!! 25 POINTS
Answers
Answer:
FD≈25.94.. rounded = 26
Step-by-step explanation:
FD²=12²+(4x+11)²
FD²=144+16x²+88x+121
FD²=265+16x²+88x
also
FD²=12²+(13x-16)²
FD²=144+169x²-416x+256
FD²=400+169x²-416x
thus
265+16x²+88x = 400+169x²-416x
16x²-169x²+88x+416x+265-400 = 0
-153x²+504x-135 = 0
we will solve this quadratic equation by suing the quadratic formula to find x
x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)
x=(-504±[tex]\sqrt{504^{2}-4(-153)(-135) }[/tex])/2(-153)
x=(-504±[tex]\sqrt{254016-82620 }[/tex])/-306
x=(-504±[tex]\sqrt{171396}[/tex])/-306
x=(-504±414)/-306
x=(-504+414)/-306 and x=(-504-414)/-306
x=-90/-306 and x=-918/-306
x= 5/17 , 3
substituting x by the roots we found
check for 5/17:
4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..
13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..
check for 3:
4x+11 = 4×3+11 = 12+11 = 23
13x-16 = 13×3-16 = 23
thus 3 is the right root
therfore
ED=23 and CD=23
FD²=FE²+ED² or FD²=FC²+CD²
FD²=12²+23²
FD²=144+529
FD²=673
FD=√673
FD≈25.94.. rounded = 26
Answer:
FD = 25.94 or 26Step-by-step explanation:
ED = CD ...... ( Tangent secant Property)
4x + 11 = 13x - 16
11 + 16 = 13x - 4x
27 = 9x
27÷9 = x
3 = x
so,
ED = 4x + 11 = 4(3) + 11
ED = 23
FE = 12 ...... ( given )
ΔFED = 90° ...... ( tangent property )
so,
FD² = FE² + ED²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = √673
FD = 25.94
FD = 26 (approx )
b= (x+7) a= (x=1)=180 solve for angle a and b
Answers
b=(x+7)a=(x=1)=180 then 37
does anyone happen to know what the answer to this could be ?????
Answers
Answer:
B. $96
Step-by-step explanation:
Amount paid by Sandra for the boots
[tex] = 120 - \frac{20}{100} \times 120 \\ \\ = 120 - 24 \\ \\ = \$ 96[/tex]
Answer:
96 dollars
Step-by-step explanation:
the discount is 20% .this means that she will pay 80%
therefore 120×80\100%=$96
Which answer shows the number that point B represents on the graph? A) 2 1 4 B) 2 1 3 C) 2 1 2 D) 2 3 4° > −11°
Answers
Answer:
The answer is c
Step-by-step explanation:
Bc I said so answer is always c