Answer:
y = ±5
x = ±6
Step-by-step explanation:
Here we have the system:
x^2 + y^2 = 61
x^2 - y^2 = 11
Notice that we have both variables squared, then we can define:
x^2 = X
y^2 = Y
And write our system as:
X + Y = 61
X - Y = 11
To solve this, the first step is to isolate one of the variables in one of the equations, i will isolate X in the second equation:
X = 11 + Y
Now we can replace this in the other equation to get:
(11 + Y) + Y = 61
Now we can solve this for Y
11 + 2*Y = 61
2*Y = 61 - 11 = 50
Y = 50/2 = 25
Y = 25
And remember that Y = y^2
then:
y^2 = 25
y = √25 = ±5
And using the equation: X = 11 + Y
X = 11 + 25 = 36
X = x^2 = √36 = ±6
Which ratios from the list are equivalent to 30/50 answer choices 9/15,5/3,150/250,12/20,33/55.
Answer:
150/250
Step-by-step explanation:
Help please. Only 20 minutes left.
Answer:
-5
Step-by-step explanation:
List 10 7th grade math formulas off the top of your head!
Answer: 1 gallon=4 quarts
1 quart=2 pints
1 pint= 2 cups
1 cup= 8 fluid ounces
1 mile = 1,760 feet
1 yard = 3 feet
1 foot = 12 inches
1 kg = 1,000g
1 liter = 1000 milliliter
1g= 1,000 mg
Step-by-step explanation:
Use prime factorization to reduce the fraction 36/180
Answer:
Step-by-step explanation:
36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3
180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5
[tex]\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} = \frac{1}{5}[/tex]
Factors that are common will be cancelled
Find x.
please help with this question
Answer:
11.875
Step-by-step explanation:
Johnny must complete 55 hours of community service. She does 5 hours each day. Write a linear equation to represent the hours Yuson has left after x days.
Answer:
55-5x
Step-by-step explanation:
she does 5 hours each day
in x days, hours of service=5x
after x days the hours of service left are=55-5x
the linear equation representing the hours Johnny has left after x days is:
55-5x
please help !!!
Will this parabola open upward or downward? How can you tell the direction that it opens from looking at the graph?
y = -5x² + 3x - 4
I know the parabola will open downward because the leading coefficient of the equation, being -5, is negative/less than zero.
PLS HELP WILL MARK BRAINLIEST!!!
Answer:
The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)
Step-by-step explanation:
Answer:
8 3/10, 8.304, 167/20, 8.92
Step-by-step explanation:
Turn all of them into decimals
8 3/10 = 8.30
8.304
167/20 = 8.350
8.92
4.2.19
Solve the system of equations by substitution.
y= 4x - 13
2x + 3y = 17
The solution is
(Simplify your answer. Type an ordered pair.)
Answer:
x=4, y=3. (4, 3).
Step-by-step explanation:
y=4x-13
2x+3y=17
---------------
2x+3(4x-13)=17
2x+12x-39=17
14x-39=17
14x=17+39
14x=56
x=56/14
x=4
y=4(4)-13
y=16-13=3
Please help. I will give brainliest to correct answer :)
Theoretical probability
P(rolling a 2)
P(rolling a 5)
Answer:
yes indeed..... (wdm? u never finished the question)
Step-by-step explanation:
Answer:
The theocratical probability of rolling a two is 2/6 or 1/3. The theocratical probability of rolling a five is 5/6.
Step-by-step explanation:
12. A bacteria culture has 2,000 bacteria. The number of bacteria increases by 5% each hour. How many bacteria are there after 12 hours? Your answer
Answer:
3200
Step-by-step explanation:
5% of 2000 = 100
100 x 12 = 1200
2000 + 1200
= 3200
Alana is cooking a turkey. It takes 4 1/2 h to cook. She checks it every 20 min, or 1/3 h.
How many times will she check it before it is cooked?
Answer:
13 times
Step-by-step explanation:
There are a total of 270 minutes in 4 1/2 hours.
270 ÷ 20 = 13.5
Though we know that 13.5 would not work out.
So she would check on it 13 times.
After the 13th time there will be 10 minutes left to cook the turkey.
The total number of times Alana will check the turkey before it sis done is 13 times.
Rate of work
The rate at which Alana is checking the turkey can be described as the work rate or the rate at which she is doing work.
Number of timesThe total number of times at which Alana will check the turkey before it is done is calculated as follows;
[tex]n = \frac{T}{R}[/tex]
where;
T is the total time = 4 1/2 h = (4 x 60) + 30 min = 270 min
R is the rate = 20 min
[tex]n = \frac{270}{20} \\\\n = 13.5 \ times\\\\n \approx 13 \ times[/tex]
There is no half checking, thus, the total number of times Alana will check the turkey before it sis done is 13 times.
Learn more about rate of work here: https://brainly.com/question/11316046
Create an equation that can be used to model the total number of pages, y, that Latrell reads in x hours
Answer:
y=60x
Step-by-step explanation:
What is another way to name
ZDEF?
Select each correct answer.
Answer: <FED , <DFE , <EDF
Step-by-step explanation:
Answer:
<FED
Step-by-step explanation:
I've done this problem before.
how many solutions d+6+2d=4d+9
50a+80
GIVING BRAINLEST
Answer:
180
Step-by-step explanation:
Two lines intersect. Find the value of b and c.
bº
42°
Answer:
b=42 degrees
c= 138 degrees
Step-by-step explanation:
B and the 42 degrees shown are congruent angles so therefore both are 42 degrees
To find C: We know that combining the 42 degrees and Angle C would form a flat angle or 180 degree angle, so therefore
subtract 180 with 42 to get Angle C
180-42= 138
Answer:
b=42, c=138
Step-by-step explanation:
B has to equal 42 because b is opposite of the 42º
and since 42+2c+42 has to equal 360, we simplify the expression to get:
84+2c=360,
2c=276
c=138
Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
[ ?
Answer:
65.28%
Step-by-step explanation:
The computation of the probability is shown below:
Given that
P(2,3, OR 4)
based on the above information
= 5C_2(0.4)^2 × (0.6)^3 + 5C_3(0.4)^3 × (0.6)^3 + 5C_4(0.4)^4 × (0.6)^1
= .3465 + .2304 + .0768
= .6528
= 65.28%
let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical angles what is the measurement of <1 plus the measure of <3 minus the measure of two
Answer:
180 Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
What is 82+(12 3+4)-10
Answer:
82 + (12 + 3 + 4) -10 = 91
82 + (12 times 3 + 4) -10 = 156
82 + (12 divided by 3 + 4) -10 = 73.71
82 + (12 - (3+4)) -10 = 77
I wasn't sure what the space between the 12 and the 3 + 4 meant so I put the answers to what it could have possibly meant.
Elaine worked 48 hours last week. Her hourly rate is $9.20. What was her GROSS PAY?
Answer:
48 × 9.20 = 441.60
Step-by-step explanation:
gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.
please i need help :
Answer:
C hope this helps
Step-by-step explanation:
what is the third step in scientific investigation ?
Answer:
Cleaning
Step-by-step explanation:
Y=-3x^2-18x-28 solve In vertex form show work
Please Show your work.
Answer:
Equation: y = 2.5x
Answer: 43.75 drawers
Step-by-step explanation:
Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x
Answer: Substitute 17.5 into x.
y = 2.5(17.5)
y = 43.75 drawers
-6 (-8) Do you multiply or divide do you change the -8 to 8?
Answer:
You multiply the two together and the -8 inside the parenthasese get turned into a positive 8
Step-by-step explanation:
True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.
Answer:
True
Step-by-step explanation:
Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.
write the equation 2x + 6x + y2 - 8y= 19 in standard form
Rico complained to his brother that he had to rollover a payday loan seven times before finally saving enough money to pay it off. In the end it cost him $450. What finance charge was Rico paying the payday lender every two weeks if he originally wanted to borrow $250?
Answer:
He had to pay $28.57 seven times.