Answers
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Related Questions
Item 2 What is the value of the function at x=−2? y=−4 y = 0 y = 2 y = 3
Answer fast please!!!
Answers
Answer:
ok
Step-by-step explanation:
Simplify the expression so there is only one positive power for each base.
Answers
i hope you understand
help me, please math
Answers
Answer:
i think its c
Step-by-step explanation:
Maggie saves money in a jar over a period of 5 weeks, as shown in the table.
A. S = 1.50w + 2.50
B. S = 2.50w + 1.50
C. S = w - 0.50
D. S = w +2.50
Answers
10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?
Answers
the second one is correct
Which of the following situations can be described by the equation 2x – 4 = 10?
Answers
Step-by-step explanation:
Add 44 to both sides.
2x=10+4
2x=10+4
2 Simplify 10+410+4 to 1414.
2x=14
2x=14
3 Divide both sides by 22.
x=\frac{14}{2}
x=
2
14
4 Simplify \frac{14}{2}
2
14
to 77.
x=7
x=7
Done
the captain the chief mate the chief engineer walk around the deck of the ship it takes 4 minutes to the captain to circle the deck of the ship chief mate takes 5 minutes chief engineer takes 6 minutes how many minutes will they meet again at starting point
Answers
Answer:
60 minutes
Step-by-step explanation:
Step 1
We Find and list multiples of each number of minutes that each person walked around the deck until the first common multiple is found. This is the lowest common multiple.
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
Therefore,
LCM(4, 5, 6) = 60
They would meet again at starting point after 60 minutes
Work out angle BXC.
Give a reason for each angle you work out.
Answers
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
The measure of angle BXC is 70°
What s transversal?"It is a line that passes through two lines in the same plane at two different points."
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What are isosceles triangle?"It is a triangle having any two sides equal in length."
For given example,
We can observe that XY and BD are parallel lines and AB is the transversal.
Here,
∠AXY = ∠XBC ..............(Corresponding angles)
⇒ ∠XBC = 55°
In figure, for ΔXBC the sides XB and XC are equal.
So, ΔXBC is an isosceles triangle.
We know, for isosceles triangle, angles opposite to equal sides are equal in measure.
⇒ ∠XBC = ∠XCB
⇒ ∠XCB = 55°
We know, the sum of all angles of the triangle is 180°.
⇒ ∠XBC + ∠XCB + ∠BXC = 180°
⇒ 55° + 55° + ∠BXC = 180°
⇒ 110° + ∠BXC = 180°
⇒ ∠BXC = 70°
Therefore, the measure of angle BXC is 70°
Learn more about the angles formed by parallel line and transversal here:
https://brainly.com/question/15464186
#SPJ2
A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles
Answers
Matthew drives at an average speed of 62 mph for 5 hours
B) how many miles does Matthew drive
Answers
Answer:
310
Step-by-step explanation:
62 multiplied by 5 will get you the answer
What is the greatest common divisor between 621 and 1035.
Answers
Answer:
207
Step-by-step explanation:
The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of
each square?
Answers
9514 1404 393
Answer:
10 ft7 ftStep-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
The system shown is blank.
a.) inconsistent
b.) equivalent
c.) consistent
Answers
Answer:
I think it's consistent
Step-by-step explanation:
A model is made of an Airbus A300 aeroplane.
The length of the model is 36 cm.
The length of the real aeroplane is 54 m.
Answers
Answer:
Since the Airbus A300 model airplane was made to scale, measuring 36 centimeters, while the real airplane measures 54 meters, to determine the scale ratio between both planes, the following calculation must be performed:
36cm = 0.36m
0.36 = 1
54 = X
54 x 1 / 0.36 = X
150 = X
Therefore, the scale ratio between the model and the real plane is 150:1.
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
please help
Answers
Answer:
x≤2 or x≥-6
Step-by-step explanation:
Isolate the variables on both equations
3x-4≤2
3x≤6
x≤2
2x+11≥-1
2x≥-12
x≥-6
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Answers
Answer:
1.AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
2.CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
3.AC corresponds to FD
4.The scale factor is 2 because you would take the sides in ABC and multiply by 2 to get the sides in FED
5.6 because it corresponds to CB and you would multiply the side of CB (3) by 2 and you would get 6
6.A^2+B^2=C^2 = FE^2+ED^2=FD^2 = 8^2+6^2=100^2 = square root of 100= 10
The side length of FD is 10
Answer:
Your welcome no need to thank me
Step-by-step explanation:
The bowling alley charges a set fee for shoe rental and charges per game bowled. The total
cost of bowling can be modeled by c(b) = 5.75b + 4.25 Which statements about the function
are true?
I.
The cost for each game of bowling is $5.75.
II.
The shoes cost $5.75 to rent.
III.
The number of games bowled is represented by b.
1.
I and II only
2.
I and III only
3.
II and III only
4.
I, II and III
Submit Answer
Answers
Answer: (2.)
1 and 111 only
Step-by-step explanation:
I have a math question
Answers
Answer:
D. RS = DQ
Step-by-step explanation:
SSS = Side-side-side congruence criteria!
One is given, other is common, and we have RS=DQ
Answer/Step-by-step explanation:
According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.
RQ ≅ DS.
This means that in order to complete the chart:
RS ≅ DQ
What is 4.4% of 625?
Answers
Answer:
27.5
Step-by-step explanation:
Answer:
Answer: 27.5 and your welcome!!
What is 2+2
A) 22
B) 4
C) 38
D) 55
Answers
Answer:
B
Step-by-step explanation:
Answer: 4
______
_\ _~-\___
= = ==(____AA____D
\_____\___________________,-~~~~~~~`-.._
/ o O o o o o O O o o o o o o O o |\_
`~-.__ ___..----.. )
`---~~\___________/------------`````
= ===(_________D
help pls1ssssssssssssssssssssss
Answers
Answer:
108 bottles
Step-by-step explanation:
[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]
Answer:
108 bottles
Step-by-step explanation:
[tex]\frac{4.536}{0.042}[/tex]=108
A person invests 3000 dollars in a bank. The bank pays 4.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5600 dollars?
Answers
Answer:
The person must leave the money for approximately 14.8 years.
Step-by-step explanation:
This can be calculated using the formula for calculating the future value as follows:
FV = PV * (1 + r)^n …………………………………. (1)
Where;
FV = Future value of the investment = 5600
PV = Present value of the investment = 3000
r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125
n = number of semiannuals = ?
Substitute the values into equation (1) and solve for n, we have:
5600 = 3000 * (1 + 0.02125)^n
5600 / 3000 = 1.02125^n
1.02125^n = 1.86666666666667
Loglinearizing both sides, we have:
nlog1.02125 = log1.86666666666667
n = log1.86666666666667 / log1.02125
n = 0.271066772286539 / 0.0091320695404719
n = 29.6829509548973
Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:
Number of years = 29.6829509548973 / 2 = 14.8414754774487
Rounding to the nearest tenth of year, we have:
Number of years = 14.8
Therefore, the person must leave the money for approximately 14.8 years.
Solve the equation.
4b+3=−9
Answers
Answer:
b=-3
Step-by-step explanation:
4b+3=−9
-3 -3
4b=-12
4b/4 =-12/4
b=-3
PIZZZ HURRY IM IN A RUSH .-.!!!Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?
Answers
Answer:
In my opinion this is the whole w
Step-by-step explanation:
I need helpppp, I need to turn this in before class is over
Answers
Answer:
.
Step-by-step explanation:
Answer:
she spends 50% of her budget on her car
Step-by-step explanation:
300 is half of 600. I hope this helps :)
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answers
Answer:
The answer is 200
Step-by-step explanation:
uhm please help me
I’m not really good at Math as you can tell :(
Also: Don’t mind the tabs (^^;)
Answers
Answer:
5 37.50
10 75
hope it helps
Step-by-step explanation:
prove me wrong
Answer:
Lol the you tube tab though XD
Step-by-step explanation:
Helppppp meeeee pleaseee
Answers
Also, I just want to say happy new year to you and have a fantastic rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you!
Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ
Answers
Answer:
Through pythogoras theorem
a^2+b^2=c^2
20^2+16^2=c^2
c^2=400+256
c^2= 656
c= square root of 656
c=25.6 inches or 30 inches
Missing side 25.6 inches or 30 inches
c^2 = a^2 + b^2
c^2 = 16^2 + 20^2
c^2 = 256 + 400
c^2 = 656
Now, square root both sides to find the missing length of c or the hypontenuse.
Answer: c = 25.6 inchesWhat is 3.116372 rounded to the nearest hundred thousandths place?
Answers
Explanation: The hundred thousandths place is in the fifth place after the decimal. To avoid remembering this, you can simply note that the first place after the decimal is the tenths. You simply keep progressing as you would in whole numbers.
For example 10 becomes 100 when a zero is added. This zero is always added right beside the first zero and indicates the hundreds place.
Furthermore, the general rule for rounding is if the number after the preferred rounding place is 4 or less, the number remains the same. 5 or more means it goes up by one digit.
Answer:
3.11637
Step-by-step explanation
I got it right ayyy :p
