Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 10x - 6y + 14 = 0 ( collect the x/ y terms together and subtract 14 from both sides )
x² + 10x + y² - 6y = - 14
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(5)x + 25 + y² + 2(- 3)y + 9 = - 14 + 25 + 9
(x + 5)² + (y - 3)² = 20 ← in standard form
with centre = (- 5, 3 ) and r = [tex]\sqrt{20}[/tex] = 2[tex]\sqrt{5}[/tex]
Kiara had the following car expenses last year: $3060 in car payments; $94 for license
and registration: $128 in tax; $1080 for insurance; $290 for parking; $398 for wear and
tear, $1520 for maintenance; and $930 for gas. If she drove 12,500 miles last year, what
was her average cost per mile?
Average cost per mile is $0.6
How to calculate the average cost per mile?To calculate the average cost per mile that Kiara had to pay, we perform the following operations:
We add up all the payments Kiara made related to her car.
$3,060 + $94 + $128 + $1,080 + $290 + $398 + $1,520 + $930 = $7,500Later we divide the total value, in the number of miles traveled by Kiara
$7,500 ÷ 12,500 miles = 0.6Learn more about average in: https://brainly.com/question/2426692
Find the ratio of 30 minutes to 15 hours. method needed.
Answer:
2.1
Step-by-step explanation:
Here we will simplify the ratio 30:15 for you and show you how we did it.
To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.
The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1
Which relation is a function?
Answer:
the frst one s the answer
Step-by-step explanation:
t s a functon becuase all of the other ones have more than one pont on the lne and that one doesn't.
The relation shown in graph (A) is a b because the ordered double satisfies the condition of the function option (A) Is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The ordered double (x, y) is shown in the graphs.
As we know, from the definition of the function, they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph, the ordered double satisfies the condition of the function.
Thus, the relation shown in graph (A) is a b because the ordered double satisfies the condition of the function option (A) Is correct.
Learn more about the function here:
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#SPJ5
can someone please help me with this
Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
What can be concluded about the line represented in the table? Check all that apply.
X-6,2,8
Y-7,-3,0
The slope is 2.
The slope is 1/2.
The y intercept is 4.
The y intercept is 8
The points (-2,-5) and (8,0) are also on the line
The points (-5,-2) and (1,10) are also in the line.
Answer:
The slope is 1/2The points (-2,-5) and (8,0) are also on the lineStep-by-step explanation:
According to the table there are ordered pairs:
(-6, - 7), (2, - 3), (8, 0)Find the slope using two points:
m = (- 3 - (-7)) / (2 - (-6)) = 4/8 = 1/2Use one point to complete the equation:
y - (-7) = 1/2(x - (-6))y + 7 = 1/2x + 3y = 1/2x - 4So the slope is 1/2 and the y-intercept is (0, - 4)
Verify the points (-2, -5), (- 5, -2), (1, 10):
-5 = 1/2(-2) - 4 ⇒ - 5 = - 1 - 4 ⇒ - 5 = - 5, yes-2 = 1/2(-5) - 4 ⇒ - 2 = - 2.5 - 4 ⇒ - 2 = - 6.5, no10 = 1/2*1 - 4 ⇒ 10 = 0.5 - 4 ⇒ 10 = - 3.5, noNow, correct answer choices are:
The slope is 1/2The points (-2,-5) and (8,0) are also on the line4. If they make $404,300, how many tickets have they sold?
Answer:
Hello again, as I said in your previous question, I don't have any other information to possibly answer this. They must have sold a lot of tickets to get that much money. How many people bought the tickets? How much does one ticket cost?
Hope this helped, please provide more information next time to properly answer you :)
-3x+5=-2(x+7)+2x+4 infinite soultion
Answer: x=5
Step-by-step explanation: isolate the variable by dividing each side by factors that don't contain the variable
Answer:
x=5
i don't know why the "infinite solution" is in the question but there is one solution.
Step-by-step explanation:
-3x+5 = -2(x+7)+2x+4
Distribute
-3x+5 = -2x-14+2x+4
Combine like terms
-3x+5 = -10
Apply inverse operations
-3x = -15
x=5
0.5(5-7x)=8-(4x+6) solve for x
Answer:
I believe that the answer is x=-1
Find the product of 2x4(4x2 3x 1). 8x6 6x5 2x4 8x8 3x4 2x4 2x4 6x5 8x6 6x6 5x5 3x4.
Answer:
736
Step-by-step explanation:
1- Multiply
2- Calculate
Answer:
736
Step-by-step explanation
substitution method
x-2y=8
8x+6y=42
Answer:
(6,-1)
Step-by-step explanation:
Hi there!
We are given the following system:
x-2y=8
8x+6y=42
And we want to solve it by substitution
Substitution is where we solve one of the equations in the system for a variable for an expression containing the other variable, then substitute that expression into the other equation, then solve the equation for that variable, then use the value of the solved variable to find the value of the first variable.
It's easier to solve a system for a variable if the leading coefficient in front of a variable is 1, like with x in x-2y=8
So let's solve the equation for x.
add 2y to both sides
x-2y=8
+2y +2y
________________
x=2y+8
Now substitute 2y+8 as x in 8x+6y=42
8(2y+8)+6y=42
Multiply
16y+64+6y=42
Subtract 64 from both sides
16y+6y=-22
Add 16y and 6y together
22y=-22
Divide both sides by 22
y=-1
Substitute -1 as y into x=2y+8 to solve for x
x=2(-1)+8
Multiply
x=-2+8
x=6
The answer is x=6, y=-1, or as a point, (6, -1)
Hope this helps!
See more on solving systems of equations by substitution here: https://brainly.com/question/26559381
The members of the city cultural center have decided to put on a play once a night for a
week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $3,300
every night to cover all expenses. Let d represent the number of adult tickets sold at $7.50. Lets
represent the number of student tickets sold at $4.50 each. If all 600 seats are filled for a
performance, how many of each type of ticket must have been sold for the members to raise exactly
$3,300? At one performance there were two times as many student tickets sold as adult tickets. If
there were 300 tickets sold at that performance, how much below the goal of $3,300 did ticket sales
fall?
Make d the subject of the formula h=d/3 +2
Answer:
d =3h - 6
Step-by-step explanation:
[tex]h = \frac{d}{3} + 2 \\ \\ \implies \: 3h = d + 6 \\ \\ \implies \: 3h - 6= d \\ \\ \implies \: \huge \: d = 3h - 6 \\ \\ [/tex]
i need help with this
Answer:
C (as marked)
Step-by-step explanation:
The only offered choice that has the correct sums (23 and 26) is choice C.
__
Additional comment
The purpose of each of the equations is to express the total cost of the described purchase. If x is the cost of a hamburger, then the cost of two hamburgers is 2x. Likewise if y is the cost of a drink, then the cost of 5 drinks is 5y. The total cost of 2 hamburgers and 5 drinks will be ...
2x +5y
This value is said to be $23, so the appropriate equation for this relation is ...
2x +5y = 23 . . . . . part of answer choice C only
what time is shown on the clock
Answer:
i think its 8:22
Step-by-step explanation:
Explain how to get the variable alone in the following equation. C = 11 = 5
Step-by-step explanation:
First you subtract five on both sides. Now we're left with C=6
Please answer the question in the picture, much appreciated! Write it out
Answer:
sin Z = 3/5Step-by-step explanation:
Tony needs to simplify the fraction:
sin Z = 12/20 = 3/5Ben is wrapping a birthday gift for his brother. He starts with 2 meters of ribbon. Then, he cuts off 27 centimeters to decorate the gift. How many centimeters of ribbon does he have left now?
Answer: 173 centimetres
Step-by-step explanation:
your welcome I don't really know how to explain just remember doing this in early yrs of school :)
Marta sells Sue Ann Cosmetics and gets
20% commission on all her sales. Last
month, she sold $560.00 worth of
cosmetics. How much was her
commission?
Please help it’s urgent
Answer: $112
Step-by-step explanation:
o get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 560 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 560 is 100%, so we can write it down as 560=100%.
4. We know, that x is 20% of the output value, so we can write it down as x=20%.
5. Now we have two simple equations:
1) 560=100%
2) x=20%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
560/x=100%/20%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 20% of 560
560/x=100/20
(560/x)*x=(100/20)*x - we multiply both sides of the equation by x
560=5*x - we divide both sides of the equation by (5) to get x
560/5=x
112=x
x=112
now we have:
20% of 560=112
-
What is the value of p so that the expression 6x +3 - (83 – 5) is equivalent to p(2 - 4)?
Use the on-screen keyboard to type the correct value in the box below.
what the expression for p?
Answer:
10x2+12 is the solution to your query.
Step-by-step explanation:
Please help meeee (1 image)
Brainliest Oppurtunity, thanks.
what is the volume of the prism?
Evaluate the function
Answer:
[tex] \boxed{f(10) \: is \: 70}[/tex]
Step-by-step explanation:
[tex]f(x) = { - x}^{2} - 3x[/tex]
:' QuestionFind f(10) ?
:' Solution[tex]f(x) = { - x}^{2} - 3x[/tex]
Substitute x = 10
[tex]f(10) = { (- 10})^{2} - 3(10)[/tex]
[tex]f(10) = 100 - 30[/tex]
[tex]f(10) = 70[/tex]
__________________________
HELP PLEASE!! i just need #8 through #10
Answer:
ok hi 4___________$_______
sarah hopes to be 5 feet in her next birthday. right know she is 148 cenmeter tall.how many more centimerter does sarah need to grow before her next borthday
Answer:4
Step-by-step explanation:
Well its actually 4.4 but if you round down its 4 centimeters and 5 feet equals 152.4 so that minus 148 is 4.4
Answer:
Step-by-step explanation:
1 foot is 12 inches
1 inch = 2.54 cm
12 inches = 2.54 cm * 12 = 30.48 cm
5 feet make 30.48 cm * 5 = 152.4 cm
She is currently 148 cm
She needs to grow 152.4 - 148 = 4.4 cm
help please , how do i solve??
Step-by-step explanation:
tan 51= jl/jm = jl/14
jl = 17.28
cos 72=kl/jl
kl = 5.33
What is the measure of the central angle of a sector of the sector has a radius of 3cm and an area of 63/8 pi cm^2
Answer:
Ans=0=315⁰
Step-by-step explanation:
Hope this helps :)
A restaurant receives a shipment of 5,000 ketchup packets. In one week, they use 1,779 packets. The next week, they use 2,415 packets. How many ketchup packets does the restaurant have left?
Answer:
806 ketchup packets
Step-by-step explanation:
5000-1779=3221
3221-2415=806
The restaurant has 806 ketchip packets left
Answer:
5,806
Step-by-step explanation:
Because they got there 5,000 packets they subtracted 1,779 packets
5,000-1,779=3,221
Next remember they get 5,000 packets each week so then you add 5,000 to 3,221
3,221+5,000=8,221
next 2,415 packets were used so subtract 8,221 bu 2,415
8,221-2,415=5,806 so there's your answer
Have a good day
the sum of 16 numbers is 240.The average of 6 of those numbers is 10. the average of the remaining numbers is
Answer:
18
Step-by-step explanation:
If the average of 6 numbers is 10, then the sum of those 6 numbers is:
6 x 10 = 60
To calculate the sum of the remaining 10 numbers, subtract 60 from the total sum of all the numbers:
240 - 60 = 180
Therefore, the average of the 10 remaining numbers:
180 ÷ 10 = 18
Solve for xx. Round to the nearest tenth of a degree, if necessary.
N
O
P
x°
4.8
5.4
Answer:
62.7°
Step-by-step explanation: