Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2 where ( a , b ) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ] center = ( 2 , − 1 ) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula ∙ d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2 let ( x 1 , y 1) = ( 2 , -1 ) and ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ← equation of circle
What are the coordinates of the vertex of the function f(x)=x2+10x-3?
(-5, -28)
(-5, 28)
(5,-28)
(5, 28)
Answer:
(-5, -28)
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 10x - 3[/tex]
[tex] = f(x) = {1x}^{2} + 10x - 3[/tex]
= a = 1, b = 10
[tex] = x = \frac{10}{2 \times 1} [/tex]
[tex] = x = - \frac{10}{2} [/tex]
= x = -5
[tex] = f(x) = {x}^{2} + 10x - 3..x = - 5[/tex]
[tex] = f( - 5) = - 28[/tex]
= (-5, -28)
Answer:
A) -5, -28 is correct!
Step-by-step explanation:
solve for x:
3cx-b=adx+5f
[tex]3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} [/tex]
I hope I helped you^_^
A rectangle has a perimeter of 6x^3+ 9x^2 - 10x + 5 and a length of x. Find the width of the rectangle when
the length is 21 inches.
Answer:
59330 feet
Step-by-step explanation:
If length is equal to 21 feet, then x=21
Width will be f(21)=6*(21)^3+9*(21)^2-210+5=59330 feet
The width of the rectangle with the given perimeter and length is 29,686 inches.
Given that, the perimeter of a rectangle = 6x³+ 9x² - 10x + 5 and length=x.
We need to find the width of the rectangle when the length is 21 inches.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be y.
Now, length=x=21 inches.
Thus, 6x³+ 9x² - 10x + 5 = 2(x+y)
⇒6×21³+ 9×21² - 10(21)+ 5=2(21+y)
⇒55,566+3,969-210+5=42+2y
⇒59,372=2y
⇒y=29,686 inches
Therefore, the width of the rectangle with the given perimeter and length is 29,686 inches.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/2142493.
#SPJ2
Ann went to the store after school 5 days this week. Each day, she bought a sandwich and a comic book. She spent a total $50 of at the store this week. She paid $2 for each sandwich. How much did she pay for each comic book? (Assume she paid the same for each comic book.)
In total 5 days, she has paid: 5 x $2 = $10 for the sandwiches
In total 5 days, she has paid: $50 - $10 = $40 for the comics
So, she paid: $40 / 5 = $8 for each comic
If helpful, brainliest please !
Helps please
What is the answer for all of them?
A manufacturer determines that the cost of making a computer component is $3.171717. Write the cost as a fraction and as a mixed number.
Answer:
Step-by-step explanation:
100y = 317.17171717171717 ....
y = 3.17171717171717 .... subtract
99y = 314
The cost = 314 / 99
Or
The cost = 3 17/99
Does #1 look right? Im struggling on this
Answer:
Yup, good job!
Step-by-step explanation:
How do I solve (b) (c) and (d)
Answer:
Step-by-step explanation:
answer (B)
rationalize the following
Step-by-step explanation:
[tex] \frac{1}{ \sqrt{2} + 1 } [/tex]
(On Rationalizing )
[tex] = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } [/tex]
[tex] = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } [/tex]
[tex] = \frac{ \sqrt{2} - 1}{2 - 1} [/tex]
[tex] = \frac{ \sqrt{2} - 1}{1} [/tex]
[tex] = \sqrt{2} - 1(ans)[/tex]
What is p of 11=8-6p-3
The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _
Answer:
[tex](\frac{-5}{2} ,-1)[/tex]
Step-by-step explanation:
(-2 + -3)/2 , (-10+8)/2
-5/2,-1
write 12:57 a.m in 24 hour time
Answer:
Here is your answer . Hope this is helpful to you.
what must be added to 2x^2 - 5x - 12 in order to get 7x^2 - x - 18
Answer:
5x^2 +4x -6
Step-by-step explanation:
that is the answer
yep
Answer:
5x² + 4x - 6
Step-by-step explanation:
Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is
7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms
= 5x² + 4x - 6
ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?
Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years
P= 80000
R = 10% '
1st-year amount = 88000
10% compounded annually
If you pay the loan of 55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts
= \frac{55000}{110} \times 100 = 50000
So after the first year, a certain amount is paid, and the remaining amount is will be 50000.
So a certain amount to be paid in 1 year = 88000 -50000 = 38000
A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.
A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022
Learn more about loans here
https://brainly.com/question/9302251
#SPJ1
The scale on a different map is 1 inch represents 6 miles.
A road on the map measures 2.5 inches.
How long is the road in real-life?
f(3) = 4x^2 – 4x
Find f(-7)
Answer:
224
Step-by-step explanation:
[tex]f( - 7) = 4( - 7) {}^{2} - 4( - 7) \\ = 196 + 28 \\ = 224[/tex]
Please answer the question in the screenshot (#8) Thank you!
Answer:
282 hours
Jxbskdjjddjjejdjejjd :D
-5x²-2x³-4x Write the polynomial in standard form. Then identify the polynomial by the number of terms.
Answer:
-2x³ - 5x² - 4x and cubic
Step-by-step explanation:
→ Rearrange the polynomial so the highest power is at the start
-2x³ - 5x² - 4x
→ Now look at the highest power and determine the type of polynomial
Cubic
Help me please I need help with domain and range.
Answer:
[ -2, ∞ ), [ -1, ∞ )
Step-by-step explanation:
Domain: all x values
[ -2, ∞ )
Range: all y values
[ -1, ∞ )
On Monday it rained for 3 hours and 20 minutes. The total rainfall amount in that time was 4 inches. What was the average rate of rainfall per hour?
Answer:
[tex]1\frac{1}{5}[/tex]
~~~~~~~~~~~
4 ÷ 3[tex]\frac{1}{3}[/tex]
4 ÷ [tex]\frac{10}{3}[/tex]
4* [tex]\frac{3}{10}[/tex]
[tex]\frac{12}{10}[/tex]
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
the measure of an interior angel of a regular polygon is 150. find the number of sides in the polygon.
Answer:
The polygon has [tex]12[/tex] sides.
Step-by-step explanation:
Recall that the expression for finding the measure of one interior angle of a regular polygon is [tex]\frac{180(n-2)}{n}[/tex], where [tex]n[/tex] is the number of sides the polygon has (and [tex]n\neq 0[/tex]), which is what we want to find.
Because the measure of one interior angle of the given polygon is [tex]150\textdegree[/tex], we can write the following equation to solve for [tex]n[/tex]:
[tex]\frac{180(n-2)}{n}=150[/tex]
Solving for [tex]n[/tex], we get:
[tex]\frac{180(n-2)}{n}=150[/tex]
[tex]\frac{180n-360}{n}=150[/tex] (Distribute the [tex]180[/tex] in the numerator)
[tex]180n-360=150n[/tex] (Multiply both sides of the equation by [tex]n[/tex] to eliminate the denominator and simplify)
[tex]30n-360=0[/tex] (Subtract [tex]150n[/tex] from both sides of the equation and simplify)
[tex]30n=360[/tex] (Add [tex]360[/tex] to both sides of the equation to isolate [tex]n[/tex] and simplify)
[tex]\bf n=12[/tex] (Divide both sides of the equation by [tex]30[/tex] to get rid of [tex]n[/tex]'s coefficient and simplify)
Therefore, the polygon has [tex]\bf 12[/tex] sides. Hope this helps!
elena bikes 20 minutes each day for exercise write and equation to describe the relationship between her distance in miles d and her biking speed in miles per hour when she bikes at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes
9. x is directly proportional to y. When x = 4, y = 9. Write an equation
for y in terms of x.
Answer:
y = 2.25x
Step-by-step explanation:
Given x is directly proportional to y then the equation relating them is
x = ky ← k is the constant of proportion
To find k use the condition when x = 4, y = 9 , then
4 = 9k ( divide both sides by 9 )
[tex]\frac{4}{9}[/tex] = k
x = [tex]\frac{4}{9}[/tex] y ← equation of proportion
Multiply both sides by [tex]\frac{9}{4}[/tex] to clear the fraction
[tex]\frac{9}{4}[/tex] x = y , then
y = [tex]\frac{9}{4}[/tex] x , or
y = 2.25x
2.
Evaluate the function rule for the given value. f(x) = 5^x for x = 2
A. 25
B. 10
C. 32
D. 5
[tex]f(x) = {5}^{x} \\ \\ f(2) = {5}^{2} = 5 \times 5 = 25[/tex]
Answer: A)
What is the sum of mza+ m2b+ m2c?
Select the best answer from the choices provided.
A.245°
B.252°
C.360°
D.540°
If x/y = 7/3 then find the value of
3x ^{2} + 2y^{2} \3x^{2} - 2y {}^{2}3x2+2y2\3x2−2y2
Answer:
this is the wrong question tipe perperly
Write the following expression as a simplified polynomial in standard form.
(x - 5)^2+3(x - 5) - 4
[tex]\\ \rm\longmapsto (x-5)^2+3(x-5)-4[/tex]
[tex]\\ \rm\longmapsto x^2-10x+5^2+3x-15-4[/tex]
[tex]\\ \rm\longmapsto x^2-7x+25-19[/tex]
[tex]\\ \rm\longmapsto x^2-7x+6[/tex]
Rational numbers include whole numbers, integers, fractions, and some decimals?
Answer:
TRUE
Step-by-step explanation:
this is true.
rational= ratio
Find the area of 12.5 cm and 5 cm
Answer:
62.5
Step-by-step explanation:
l*w = a
12.5*5 = 62.5
the area of a rectangle is its width times its height
Question 1
Re-write this list of numbers in ascending order:
0.9, 0.23, 0.89