Answer:The distance from the school to the theater = 18 units
Step-by-step explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.
Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).
So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]
[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]
Hence, the distance from the school to the theater = 18 units
Please help 7th grade math
Answer:
x=20, g=100, f=80
Step-by-step explanation:
when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be
3x+40+5x-20=180
8x+20=180
8x=160
x=20
Finding g
3(20)+40
60+40
g=100
FInding f
5(20)-20
100-20
f=80
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
It takes for plumbers five days to fit central heating in an office block. How long would it take ten plumbers?
Answer:
2 days
Step-by-step explanation:
It takes four plumbers five days
total labor needed
4 * 5 = 20 days
How long would it take ten plumbers?
20 / 10 = 2 days
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
what is square of 2x-3 help me
Answer:
4x² - 12x + 9
Step-by-step explanation:
Use the foil method.
(2x - 3) (2x - 3)
= 4x²- 6x - 6x + 9
= 4x² - 12x + 9
Answer:
[tex]Square \ of \ (2x - 3) = 4x^2 - 12x + 9[/tex]
Step-by-step explanation:
[tex](a +b)^2 = a^2 + b^2 + 2ab[/tex]
[tex](2x + (- 3))^2 = (2x)^2 + ( -3 )^2 + ( 2\times 2x \times - 3)\\\\[/tex]
[tex]= 4x^2 + 9 + ( -12x)\\\\=4x^2 - 12 x + 9[/tex]
What is the equation of the following line written in slope-Intercept form?
Answer:
Step-by-step explanation:
(-5,-1) & (-2, -3)
[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]
m= -2/3 ; (-5,-1)
[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]
What is the solution to the equation V8x = V4+2x ?
p= 2/5
p= 2/3
p= 24
p= 40
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )
8x = 4 + 2x ( subtract 2x from both sides )
6x = 4 ( divide both sides by 6 )
x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Pls help I’ll give brainless
Answer:
108.56
Step-by-step explanation:
First find the amount of the tip
92 * 18%
92 * .18
16.56
Add this to the amount of the bill
92+16.56
108.56
Answer:
108.56
Step-by-step explanation:
92$ + .18*92 = 108.56$
Lily's car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily's car in kilometers per liter? km L
Answer:
The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.
Step-by-step explanation:
If 3x = y - 5 and x = -4, then y =
plz show work
Answer: y= -7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(3)(−4)=y−5
−12=y+−5
−12=y−5
Step 2: Flip the equation.
y−5=−12
Step 3: Add 5 to both sides.
y−5+5=−12+5
y=−7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3x = y - 5}\\\\\large\textsf{3(-4) = y - 5}\\\\\large\textsf{3(-4) = \boxed{\bf -12}}\\\\\large\textsf{-12 = y - 5}\\\\\large\textsf{TURN the EQUATION}\\\\\large\textsf{y - 5 = 12}\\\\\large\textsf{ADD 5 to BOTH SIDES}\\\\\large\textsf{y - 5 + 5 = -12 + 5}\\\\\large\textsf{CANCEL out: -5 + 5 because that gives you 0}\\\large\textsf{KEEP: -12 + 5 because that gives you the y-value}\\\\\large\textsf{y = -12 + 5}\\\\\large\textsf{-12 + 5 =\boxed{\bf -7}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -7}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answer:
The width is [tex]82m[/tex]
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is [tex]A=lw[/tex]
We already know the area of the rectangular field which is [tex]7626m[/tex]
We already know the length is [tex]93m[/tex]
--------------->>>>
Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.
[tex]7626=93w[/tex]
Divide both sides by 93 because that's the opposite of multiplication.
[tex]82=w[/tex]
--------------->>>>
This means that the width of the rectangular field is [tex]82m[/tex]
Hope this is helpful
Toni goes to a department store and buys two shirts marked the same price. She pays full price for the first shirt but gets a 40% discount on the second shirt. If she pays a total of $32.40 for the two shirts, how much did she pay for the second shirt? -Please give a real answer
Answe$12.15
Step-by-step explanation:
She paid 60% of the price...
x + .6x = 32.40
1.6x = 32.40
x=20.25
20.25 * .60 = 12.15
Hihi , please help if able.
Answer:
Step-by-step explanation:
Area of the rectangular garden is given by the expression,
Area = 6(2x + 5y)
By distributive property,
6(2x + 5y) = 12x + 30y
Therefore, equivalent expression for the area will be,
Area = (12x + 30y)
For x = 3 and y = 4,
Area = 12×(3) + 30×(4)
= 36 + 120
= 156
Area of the rectangular garden = 156 square feet.
sum of ages two ages is 25.in five years time Abigails age is twice the age of theJohn.
how old is abigail
how old is John
what is the measure of angle NLP
55
90
Answer:
answer is 55° ..........
Find the perimeter of the figure below, in inches.
Answer:
The perimeter of the figure is 114.6
Step-by-step explanation:
If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.
Answer:
114.6
Step-by-step explanation:
just add all the sides together
Please help I’ll give brainliest
Answer:
a) 421mm² = 0.000421 m²
b) 9.3kg²= 9,300,000 g²
c) 25kL²= 25,000,000 L²
d) 1439m²= 0.001439 km²
xy + x3 ( That 3 is cube )
for the diagram below, which equation is the correct use of the distance formula?
Answer:
????
Step-by-step explanation:
Where's the equation? diagram?
Answer:
How we supposed to answer with no equation
Step-by-step explanation:
At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the weight (i.E. The force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. The torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ Nm}3 Nm3, start text, space, N, m, end text (Newton metre, the SI unit for torque). The minimum torque of -3\text{ Nm}−3 Nmminus, 3, start text, space, N, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left.
The Torque function is T(t) = 3sin((t-5)π/30).
What is Torque?When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.
Given:
After 5 minutes Thomas ties it on, the torque is zero and increasing.
So, the sine function is shifted right 5 minutes.
and, The maximum value is 3.
Then, the multiplier of the sine function as the period is 60 minutes
Then, the coefficient of t = (2π/60)
= π/30.
Hence, the Torque function is T(t) = 3sin((t-5)π/30).
Learn more about Torque here:
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Factor the answer
8y-16
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]8(y-2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.
8y-16=32
8y=48
y=6
Can someone help me understant this proof?
Answer:
Yeah, you can prove with the use of alternate interior angles, alternate exterior angles, and parallel angles. That's why they're similar.
Step-by-step explanation:
the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle
Answer: 18,27,36
Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.
Thang decided to borrow $90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40%. How much interest will Thang pay?
Answer:
Step-by-step explanation:
P = 90
r = 40% = 40/100 = 0.4
t = 3 years
It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.
I will take it as 40% for each year for 3 years.
i = prt = 90 * 0.4 * 3
i = 108
Solve the inequality for x
3^(6x+18)<27^(3x)
Answer:
[tex]\displaystyle x > 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringAlgebra II
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Solving exponential equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]
Step 2: Solve for x
Rewrite: [tex]\displaystyle 3^{6x + 18} < 3^{3(3x)}[/tex]Set: [tex]\displaystyle 6x + 18 < 3(3x)[/tex]Factor: [tex]\displaystyle 3(2x + 6) < 3(3x)[/tex][Division Property of Equality] Divide 3 on both sides: [tex]\displaystyle 2x + 6 < 3x[/tex][Subtraction Property of Equality] Subtract 3x on both sides: [tex]\displaystyle -x + 6 < 0[/tex][Subtraction Property of Equality] Subtract 6 on both sides: [tex]\displaystyle -x < -6[/tex][Division Property of Equality] Divide -1 on both sides: [tex]\displaystyle x > 6[/tex]Answer:
[tex]x>6[/tex]
Step-by-step explanation:
When given the following equation;
[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]
One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;
[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]
Simplify,
[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]
Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,
[tex]6x+18<9x[/tex]
Now solve this inequality like a normal inequality. Use inverse operations;
[tex]6x+18<9x[/tex]
[tex]18<3x[/tex]
[tex]6<x[/tex]
Write the equation of the parabola in vertex form.
I'll give you 52 points if you answer this
The bus seats 36 people. The van seats 12 people. What portion of seats are van seats?
Write as a mathematical equation.
If 25 is subtracted from a number, the result is 7.
Answer:
[tex]x-25=7[/tex]
Step-by-step explanation:
First, we must understand the operation occurring. The sentence clearly tells us that we are subtracting. The next important step is finding out the order. In the equation 25 is being taken away from the number; this means that the equation should be [tex]x-25[/tex]. Then, it says that the result is 7. This means the expression should equal 7.
Finally, x=32. This can be solved by adding 25 to both sides.
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
Answer:
4 5
Step-by-step explanation:
I got it right here.
The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
What is Factorize?The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
Given:
(20x² – 12x) + (25x– 15)
or, 4x(5x – 3) + 5(5x – 3)
or, (4x+ 5)( 5x- 3)
Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
Learn more about factorize here:
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PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
p/s PLEASE READ THIS pls ignore the another language just read the english one..
Answer:
x -2 -1 0 1
y -1 2 5 8
Step-by-step explanation:
y=3x+5
When x=-2
y=3(-2)+5
y=-6+5
y=-1
when x=-1
y=3(-1)+5
y=-3+5
y=2
whenx=0
y=3(0)+5
y=5
When x=1
y=3(1)+5
y=3+5
y=8