Answer:
8 or 32
Step-by-step explanation:
So we are given two coordinates and the length of the segment formed by those coordinates.
To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:
Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.
The distance formula is given by the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:
[tex](13)=\sqrt{((-7)-(-2))^2+((20)-(n))^2}[/tex]
Do the operations within the parentheses:
[tex]13=\sqrt{(-7+2)^2+(20-n)^2}\\13=\sqrt{(-5)^2+(20-n)^2}[/tex]
Now, square both sides to take out the square root:
[tex](13)^2=(\sqrt{(-5)^2+(20-n)^2})^2[/tex]
Simplify:
[tex]169=(-5)^2+(20-n)^2[/tex]
Square (-5):
[tex]169=25+(20-n)^2[/tex]
Subtract 25 from both sides. The right cancels:
[tex](169)-25=(25+(20-n)^2)-25\\144=(20-n)^2[/tex]
Now, take the square root of both sides.
[tex]\pm\sqrt{144}=\sqrt{(20-n)^2}[/tex]
Simplify:
[tex]\pm12=(20-n)[/tex]
So, we have two solutions:
[tex](12=20-n)\text { or }(-12=20-n)[/tex]
On the left, subtract 20. On the right, also subtract 20:
[tex](-8=-n)\text { or }(-32=-n)[/tex]
Divide both sides by -1:
[tex](n=8)\text{ or } (n=32)[/tex]
So, our two possible answers are 8 or 32.
Simplify the expression c^-6d^4/c^-16d^14
Answer:
c^10 d^18
Step-by-step explanation:
Me.Dorado has completed 75% of his morning run which of lowing sets does NOT represent 75%
Answer:
H.
Step-by-step explanation:
Explain how to find the price of 4 pounds of peaches given that 6 pounds of peaches is $5.99
Answer:
$3.99
Step-by-step explanation:
If 6 pounds is $5.99
We can round that to $6
Meaning $1 per Pound. Now since 4 pounds times $1 per pounds equals $4. Turn that down one cent. You get $3.99
Please give brainliest. Thanks
Helpppppppppp it’s IXL
Answer:
z^-75Step-by-step explanation:
[tex]z^0\times z^{-75}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \:a^b\cdot \:a^c=a^{b+c}\\\\z^0z^{-75}=z^{0-75}\\\\=z^{-75}[/tex]
What are the coefficients in the expression 5x3 + 14x2 - 2x + 6?
Answer: 5,14 and -2
Step-by-step explanation:
The coefficient is the number next to the variable.
So this case the coefficients are 5,14 and -2
Answer:
Step-by-step explanation:
15+28-2x+6
49-2x=
x=-49/2
Solve the following expression when
f = 6 and p = 2
3f - 9p + 8 + f
Answer:
14
Step-by-step explanation:
3(6) - 9(2) + 8 + (6)
18 - 9(2) + 8 + (6)
18 - 18 + 8 + (6)
0 + 8 + (6)
8 + (6)
14
The cost of insurance on a house is directly proportional to the area of the house.Samhas a 2,500 square-foot house and pays a monthly insurance premium of $67.50Bella has a 3,800 square-foot house insured with the same company. What is her monthly premium?Q5
Answer:
y tú la vez bebiendo de la botella guz dividido por qué colgaron que no se sienta en tu casa no te preocupes que no me dijan no me dijan no me dijan que hacen
On Saturday, Querida gave away 416 coupons for a free appetizer at a local restaurant. The next day, she gave away about 52 coupons an hour. Is the number of coupons Querida gave away in Sunday proportional to the number of hours she worked that day? Hours worked on Sunday 1 -2 -3 4 coupons given away on Sunday.
Answer:
The number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.
Step-by-step explanation:
It is provided that on Sunday Querida gave away about 52 coupons an hour.
Compute the number of coupons given away for different hours as follows:
Number of hours : 1 2 3 4
Number of Coupons : 52 104 156 208
Compute the number of coupons given away per hour provided that Querida worked 2 hours, 3 hours and 4 hours on Sunday as follows:
[tex]\text{Number of coupons given away per hour}=\frac{104}{2}=52\ \text{coupon/hour}[/tex]
[tex]\text{Number of coupons given away per hour}=\frac{156}{3}=52\ \text{coupon/hour}[/tex]
[tex]\text{Number of coupons given away per hour}=\frac{208}{4}=52\ \text{coupon/hour}[/tex]
Thus, the number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , thus
[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
P
The formula for calculating wage is where t is the time duration for which an amount p of money is paid.
Astrid is looking for a job at a call center. Call center A offers her 15 dollars per hour and call center B offers
her 25 cents per minute.
Which place offers a higher wage?
Answer:
call center A and B offer equal wages
Step-by-step explanation:
15/60 min 0.25/60 s
15/60 = 0.25
solve for h h+6/5=3
Answer:
h+6/5=3
We move all terms to the left:
h+6/5-(3)=0
determiningTheFunctionDomain
h-3+6/5=0
We multiply all the terms by the denominator
h*5+6-3*5=0
We add all the numbers together, and all the variables
h*5-9=0
Wy multiply elements
5h-9=0
We move all terms containing h to the left, all other terms to the right
5h=9
h=9/5
h=1+4/5
Step-by-step explanation:
Write and solve an equation to find the number n.
The sum of twice a number and half the number is 10.
Equation:
= 10
The number is n =
32
Answer:
The number is 4
Step-by-step explanation:
Let the number be n
Twice the number : 2*n = 2n
Half the number : 1/2 n
[tex]2n+ \frac{n}{2}=10\\\\\frac{2n*2}{2}+\frac{n}{2}=10\\\\\frac{4n}{2}+\frac{n}{2}=10\\\\\frac{5n}{2}=10\\\\5n=10*2\\\\5n=20\\\\n=\frac{20}{5}\\\\[/tex]
n = 4
The equation Y = mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?
find the square of 12 find the square root of 196,324
Step-by-step explanation:
the square of 12 =12×12 =144
and the square root of 196324 = ✓196324
= 443.084642
Simplify :
Stepwise answer!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{x - 2} + \frac{1}{x - 3} - \frac{2}{ x + 2} - \frac{1}{ x + 3}}[/tex]
⇒[tex]\sf{ \frac{2(x - 3)(x + 3)(x + 2) + (x - 2)(x + 2)(x + 3) - 2(x - 2)(x - 3)(x + 3) - (x - 2)(x + 2)(x - 3)}{(x - 2)(x - 3)(x + 2)(x + 3)}} [/tex]
Use the formula : a² - b² = ( a + b ) ( a - b )
⇒[tex] \sf{ \frac{2( {x}^{2} - 9)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3) }{( {x}^{2} - 4)( {x}^{2} - 9)}} [/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{ \frac{(2 {x}^{2} - 18)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3)}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Multiply the algebraic expressions
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - (2 {x}^{3} - 18x - 4 {x}^{2} + 36) - ( {x}^{3} - 3 {x}^{2} - 4x + 12) } {( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
When there is a ( - ) in front of an expression, change the sign of each term in the expression
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - 2 {x}^{3} + 18x + 4 {x}^{2} - 36 - {x}^{3} + 3 {x}^{2} + 4x - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Since two opposites add up to zero, it would be better to remove them from the expression
⇒[tex] \sf{ \frac{4 {x}^{2} - 36 + 3 {x}^{2} - 12 + 4 {x}^{2} - 36 + 3 {x}^{2} - 12}{( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
collect like terms and simplify
⇒[tex] \sf{ \frac{14 {x}^{2} - 48 - 36 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 84 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ ({x}^{2} - 4)( {x}^{2} - 9)} } [/tex]
Multiply : ( x² - 4 ) and ( x² - 9 )
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}} [/tex]
Hope I helped!
Best regards! :D
A tile measures 10 ×cm. How many such tiles are required to cover a wall of 4 m ×2.5m
Answer:
los CM a m = entre 100
Step-by-step explanation:
___________________
Which relation is a function?
Answer:
A.
Step-by-step explanation:
If you use the vertical line test only one point hits the graph.
Using the vertical line test:
If you can draw a vertical line and it crosses the graphed line more than once, or multiples dots on the same line it is not a function.
The first graph is a function.
Ralph plans to sell a piece of property for 150,000. Is short-term note and 11% interest and long-term note for 9% interest. Find the amount of each note if the total annual paid it is 15,200
Answer:
Step-by-step explanation:
Short term 166,500 (150000x.11 then add that answer to 150000)
Long term 163,500
How many solutions does the system have?
y= -3x + 9
3y = -9x + 9
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
B. No solutions
Step-by-step explanation:
y= -3x + 9
3y = -9x + 9
Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.
y = -3x + 9
y = -3x + 3
Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.
Answer: No solutions
Answer:
B
Step-by-step explanation:
Khan
Let f(x) = x^2 + 4 and g(x) = 7x + 13. Find g(f(3)).
Answer:
104
Step-by-step explanation:
f(x) = x^2 + 4
g(x) = 7x + 13.
Find g(f(3))
Find f(3) = 3^2+4 = 9+4 = 13
Then find g(13) = 7*13 + 13 = 91+13 = 104
Answer:
91x+169
g(f(3))
(7x+13)(3^2+4)
(7x+13)(9+4)
(7x+13)(13)
therefore..91x+169
What is the square root of 25⁄4
Answer:
Exact Form:
5/2
Decimal Form:
2.5
Mixed Number Form:
21/2
Dewie Lifftum, Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground and the length of the ramp from the truck to the ground is 13 feet long what is the distance along the ground from the truck to the end of the ramp?
Answer:
the answer is 65
Step-by-step explanation:
13x5=65
12 feet is the distance along the ground from the truck to the end of the ramp.
What is Pythagorean Theorem?
For a right-angled triangle
(base)²+(height)²=(hypotenuse)².
How to solve the problem?The ramp makes a right-angled triangle with the truck and the ground refer to the supported diagram.
Let x be the distance along the ground from the truck to the end of the ramp. Then
x²+5²=13²
⇒x²=13²-5²
⇒x²=169-25=144=12²
Hence, 12 feet is the distance along the ground from the truck to the end of the ramp.
To learn more about the Pythagorean theorem visit- https://brainly.com/question/343682?referrer=searchResults
#SPJ2
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
[tex]\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6[/tex]
The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 720720 feet of fencing available, what is the maximum possible area of the pasture
The correct value is 720 ft of fencing.
Answer:
Max Area = 64800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
720/4 = 180 feet
So, we want a square 180 ft by 180 ft
however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.
Thus,we now have a rectangle with dimensions: 180 ft by 360 ft
Area is given by;
area = length × width
Maximum Area = 180 × 360
Max Area = 64800 sq.ft
what is the first integer to the right of 0 on the number line
Answer:
1
Step-by-step explanation:
Numbers to the "right of 0" implies the positive numbers. And an integer has no fractional component. Thus, the first integer to the right of 0 would be 1.
Cheers.
If f(x) = x2 + 1 and g(x) = 2x - 5 Find: g(f(3))
Answer:
15
Step-by-step explanation:
f(x) = x^2 + 1
g(x) = 2x - 5
Find: g(f(3))
First find f(3) = 3^2 +1 = 9+1 = 10
The find g(10) = 2*10 -5 = 20-5 =15
Kaylee borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Kaylee originally borrowed $120 from her friend and after 5 weeks, she still owed her friend $60. Write an equation for L,L, in terms of t,t, representing the amount Kaylee owes her friend after tt weeks.
Answer:
L=120−12tt
Step-by-step explanation:
$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt
Solve the equation: 11x - 3 = 5x + 11
Answer:
Hey there!
11x-3=5x+11
6x-3=11
6x=14
x=7/3
Let me know if this helps :)
Answer:
[tex]\boxed{ 2 \frac{1}{3} }[/tex]
Step-by-step explanation:
Hey there!
Given,
11x - 3 = 5x + 11
Single out x
11x - 3 = 5x + 11
11x = 5x + 14
6x = 14
x = 2 1/3
Hope this helps :)
In ΔABC, a = 300 inches, ∠B=45° and ∠C=41°. Find the length of c, to the nearest 10th of an inch.
Answer:
197.3
Step-by-step explanation:
Please help
6 ( n + 5 ) = 66
Answer:
n=6
Step-by-step explanation:
6 ( n + 5 ) = 66
Divide each side by 6
6/6 ( n + 5 ) = 66/6
n+5 = 11
Subtract 5 from each side
n+5-5 = 11-5
n = 6
Answer:
n=6
Step-by-step explanation:
We are given the equation
6(n+5)=66
We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.
6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.
6(n+5)/6=66/6
(n+5) = 66/6
n+5 = 11
5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
n+5-5=11-5
n=11-5
n=6
Let's check our solution. Plug 6 in for n and solve.
6(n+5)=66
6(6+5)=66
6(11)=66
66=66
The statement above is true, so we know our solution is correct.
The solution to the equation 6(n+5)=66 is n=6