The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
How to determine the equation?Generally, a point is represented as:
(x,y)
The line x = -6 means that:
(-6, y)
So, we calculate the distance between (x,y) and (-6, y) as follows:
[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]
This gives
[tex]d = \sqrt{(x + 6)^2 }[/tex]
Next, we calculate the distance between (6,0) and (x, y) as follows:
[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]
This gives
[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]
Equate both distance expressions
[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]
Square both sides
[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]
Expand
[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]
Evaluate the like terms
[tex]12x = - 12x + y^2[/tex]
Add 12x to both sides
[tex]y^2 = 24x[/tex]
Make x the subject.
[tex]x = \frac 1{24}y^2[/tex]
Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
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You randomly choose two shapes from the bag, with replacement. Find the probability of choosing two squares. Write your answer as a fraction in simplest form.
Answer:
1/2 because that %50
Step-by-step explanation:
Answer:
1/35
Step-by-step explanation:
Before the election, you want to determine the number of possible president/vice-president combinations for the honor society you belong to. If both positions are chosen from ten people, how many combinations are possible?
90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.
Do you guys know this?
Answer:
3
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's look at g(3) first. It is stated in the problem that g(3) = 2.
We then use this value for f(x). It is stated in the problem that f(2) = 3.
The answer is 3.
Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
Answer:
can you help me if I help you plz
Can someone help me with these three math problems pleaseeeeeeeeeee
Answer:
75 should be the answer
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.
Answer:
The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".
Step-by-step explanation:
[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]
[tex]= \frac{-20}{20} \\\\=-1[/tex]
It found a p-value from its empirical rule:
[tex]\to P(\bar{x}<170) = 0.1587[/tex]
What is the value of x ?
Answer:
5 units
Step-by-step explanation:
BD is geometric mean ⇒ BD² = AD × DC
4x² = 10² and x > 0
x² = 25
x = 5 units
William has 90 to spend on juice boxes for a preschool picnic. Each juice box cost 2.51 what is the maximum number her can buy
Answer:
35 x 2.51 = 87.85
36 x 2.51 = 90.36
If he cannot spend more than 90 than the maximum amount he can afford is 35.
Step-by-step explanation:
Answer: 35.8565737052
$9000 was borrowed from two sources, one that charges 20% simple interest and the other that charges 5% simple interest. If the total interest at the end of 1 year was $1500, how much money was borrowed from each source?
Answer:
The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Step-by-step explanation:
Let x represents the amount borrowed at 20% simple interest.
Let y represents the amount borrowed at 5% simple interest.
Therefore, the amount borrowed at 5% simple interest will be:
y = 9000 - x ........................... (1)
As a result, we will have:
20%x = interest at the end of 1 year from the amount borrowed at 20% simple interest
5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest
Since the total interest at the end of 1 year was $1500, we have:
20%x + 450 - 5%x = 1500
We can now solve for x as follows:
20%x - 5%x = 1500 - 450
15%x = 1050
x = 1050 / 15%
x = 7000
Substituting x = 7000 into equation (1), we have:
y = 9000 - 7000
y = 2000
Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?
Answer:
6
Step-by-step explanation:
6/1=6
Bill earned $10.00 per hour he worked 40 hours at regular rate , 8hours at a time and a half and 8hours double time compute the total wage
Answer:
Total wage= $680
Step-by-step explanation:
Giving the following information:
Regular wage= $10
One and a half= $15
Double= $20
To calculate the total wage, we need to use the following formula:
Total wage= x*10 + y*15 + z*20
x= normal hours
y=one and a half hours
z= double hours
Total wage= 40*10 + 8*15 + 8*20
Total wage= $680
Answer:680
Step-by-step explanation:
Help! pictures are attached
Use the distributive property to identify the equivalent expression.
8x + 10
Answer:
36
Step-by-step explanation:
8squared+10=18
18x2=36
Answer:
ummmmmmmmmmmmmmmmmmmmmmmm
Does anyone know the answer to this question?
3x+6= -3(2x+4)
Answer:
x + -2
Step-by-step explanation:
(editing answer to add how i got it)
3x +6=-3 (2x +4)
-3 (2x +4)
Multiply using the distributive property.
− 6 x − 12 /2
3(2)(-3x - 4)
divide these by 2 will get you
SO ITS 3(2) +6 = 3(2) (2x +4)
Answer:
-2
Step-by-step explanation:
a = 1/3, b = 9, c = 5, and d = 10.
12a + c - b
Answer:
The equation equals 0
Step-by-step explanation:
12 ( 1/3 ) + 5 - 9
4 + 5 - 9
9 - 9
= 0
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
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y=_x+_ what would be the answer
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
Can someone help me with this?
Answer: 121
Step-by-step explanation:
11 x 11 is 121 so same number of rows and columns
Answer:
1260=(2-n)180
1260=360-180n
1260_360=-180n
900= -180n
n=900/-180
n= -5
n=
900/-180
2. A shop owner raises the price of a $100 pair of shoes by 50%. After a few weeks,
because of falling sales, the owner reduces the price of the shoes by 50%. A
customer then says that the shoes are back at the original price.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. What do the shoes actually cost now?
d. By what percent should the shoes be decreased in order to have the price
back at $100?
Kk
Answer:
the customer is wrong
Step-by-step explanation:
when he raised then 50 % they became $150 and then If you do the work 50% of $150 is $75 .
100+%50
150
150-%50
75
The customer is wrong because the new price of the shoe is $75 and not $100.
When the shop owner raises the price of a $100 pair of shoes by 50%, then the new price will be:
= $100 + (50% × $100)
= $100 + $50
= $150
Then, the owner reduces the price by 50%, then the new price will be:
= $150 - (50% × $150)
= $150 - $75
= $75
Therefore, the new price is $75.
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Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
5%
?
The sales tax is $
Answer:
$3
Step-by-step explanation
do 5% of 60 which would equal $3
Add: - 9/10 + 3/14
Give your answer in reduced terms.
Answer:
-24/35
Step-by-step explanation:
Find common denominators
140 is one
So, -126/140 + 30/140
This would be -96/140
Simplify
-48/70
Simplify some more
-24/35
Hope this helps :)
Please consider Brainliest :)
Answer:
-24/35
Step-by-step explanation:
Giving the fractions a common denominator:
-126/140 + 30/140
Adding:
-96/140
Dividing the numerator and denominator by 4:
-24/35
What additional information would you need to prove by the HL theorem?
Answer:
Answer: A [tex]\overline{TM}\cong \overline{OR}[/tex]
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.
Both triangles are right because they have an internal angle of 90°, so the second condition is also met.
Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.
One of these two conditions should be met:
Side TM is congruent to side OR, or
Side MO is congruent to side RT.
From the available options, only the first is correct.
Answer: A [tex]\mathbf{\overline{TM}\cong \overline{OR}}[/tex]
Of the 100 oil paintings at the museum, 28 were portraits. What percentage of the oil paintings on display were portraits?
Answer:
28/100 * 100
the answer is 28 %
What is the value of x 3x 2x 55
Answer:
25
Step-by-step explanation:
3x+2x+55=180
5x+55=180
5x=180-55
5x=125
X=125/5
X=25
So the value of X is 25
which expression is equivalent to (-60) divided by 5?
Answer:
Step-by-step explanation:
No choices are listed.
But -60 divided by 5 is -12
A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.
Just the image below.
Answer:
1) 2x^3-2x^2+4x+20
Step-by-step explanation:
line up the equations, having each variable aligned with the similar variable, and distribute the minus sign across the parenthesis
7x^3 + 4x + 13
-(5x^3 + 2x^2 - 7)
---------------------------------
2x^3 - 2x^2 +4x +20
In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was
$3.79 per gallon. What is the percent of increased in the price of gasoline, rounded to
the nearest whole percent? Type in your number with NO decimals and a % after the number.
Answer:
36%
Step-by-step explanation:
line up $ and % data like this:
$2.79 represents 100%
$3.79 represents X%
cross multiply
X*2.79 = 3.79*100
divide both sides by 2.79
X= 3.79*100 / 2.79 ≈ 136%
so it increased 36%
help brainliest will be given 8 only
Answer:
a)37
b)10
c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10
d)28.571428571429%Step-by-step explanation:
y+x2÷2 when x=4 and y=−3.
Answer:
The answer is 1.
Step-by-step explanation:
Plug in the values to make the equation -3+4*2/2
According to the order of operations, you should multiply what you can first.
so 4*2 = 8
Then 8 divided by 2 = 8/2=4
Then -3+4=1
Answer:
5
Step-by-step explanation:
y + x²÷2 when x=4 and y=-3
-3 + 4² ÷ 2
-3 + 16 ÷ 2
-3 + 8
5
I hoped this helped :)