Answer:Use the quadratic 'Complete the Square' method
Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12
Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25
Circle centered at (3,2) with radius = 5
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
Learn more about trigonometry here:
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On Thursday, rrr centimeters of rain fell on Deborah's garden. On Saturday, 15\%15%15, percent more rain fell on the garden.
The expression r+0.15rr+0.15rr, plus, 0, point, 15, r describes the number of centimeters of rain Deborah's garden got on Saturday. We can also use the expression 1.15r1.15r1, point, 15, r to represent the same quantity.
Answer:
The centimeters of rain on Thursday r
How many more centimeters of rain fell on Saturday than on Thursday 0.15r
The centimeters of rain on Saturday 1.15r
Step-by-step explanation:
Answer:
The centimeters of rain on Thursday r
How many more centimeters of rain fell on Saturday than on Thursday 0.15r
The centimeters of rain on Saturday 1.15r
Step-by-step explanation:
h(x) = 4x - 3
Given ƒ(x) and h(x), ƒ(x) has the greater value when x = 2.
a. true
b. false
x2 + 4x + 4 = 0
Direction
Answer:
x = -1/2
Step-by-step explanation:
Problema: Se guarda una moneda antigua en una caja cubica de tal forma que el contorno de la moneda toca las 4 paredes de la caja, si la base de la caja tiene un perímetro de 24 cm ¿Cual es el área de la moneda?
Answer: 50.24 cm^2
Step-by-step explanation:
This can be translated to:
An old coin is kept in a cubic box in such a way that the outline of the coin touches the 4 walls of the box, if the base of the box has a perimeter of 24 cm. What is the area of the coin?
The fact that the coin touches the interior of the box means that the diameter of the coin is equal to the side lenght of the box.
The perimeter of the box is 24 cm, and the perimeter of a square is equal to:
P = 4*L
where L is the side lenght of the square.
24 cm = 4*L
L = 24cm/4 = 8cm
Now we know that the diameter of the coin is 8cm
Now, the area of a circle (the coin) is equal to:
A = 3.14*(d/2)^2
where d is the diameter, so we have:
A = 3.14*(4cm)^2 = 50.24 cm^2
HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.
The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.
CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as
Answer:
more than
Step-by-step explanation:
Answer: (A ) greater than
Step-by-step explanation:
The answer is greater than the number Of points Luther scores in each game
All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.
Help asap! giving brainliest!
Answer: understand The problem
Gather reasources
check your answer to a solution
come to an answer
Hey can anyone pls help me out in dis I will give up 30 points and also will mark u as brainliest!!!!!!!!!!
Answer:
1. f
2. a
3. b
4. e
5. c
6. d
1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.
2. (1, -10) and (1, -11)
3. (1, -10) and (1, 11)
Step-by-step explanation:
Using Letter A, as example:
To calculate the distance between the points, you use the formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(2-2)^2+(10-4)^2}[/tex]
[tex]d = \sqrt{0 + 36}[/tex]
d = 6
Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.
Hay dos números. La suma de ellos es 13 y la suma de los cuadrados es
85. ¿Cuales son esos números?
Answer:
7 ; 6
Step-by-step explanation:
6x2+40=31x factorise the quadratic equation
Answer:
Step-by-step explanation:
6x² + 40 = 31x
6x² - 31x + 40 = 0
6x² - 16x - 15x + (-5)*(-8) = 0
2x(3x - 8) - 5(3x -8) = 0
(3x - 8) (2x - 5) = 0
In ΔHIJ, the measure of ∠J=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of ∠H to the nearest degree.
Answer:
44
Step-by-step explanation:
Find the length of a diagonal of a square with side 16 cm
Answer:
The diagonal of a square with side of 16 cm is, 22.63
Step-by-step explanation:
A square has all equal sides, so all 4 sides are 16.
A triangle's side's can be found using this formula: a^2+b^2=c^2
(the Pythagorean theorem)
If you cut a square in half a triangle is formed (with a diagonal across the square, which is what we are searching for)
16^2+16^2=c^2
256+256=c^2
512=c^2
Square root both sides
c= 22.63
Hope this helps! Please mark brainliest :)
Which of the following functions is not linear?
Answer:
D. y = 8x² + 8x + 4Step-by-step explanation:
The equation of a linear function is in form:
[tex]y=mx+b[/tex]
We have:
[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]
[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]
[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]
[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]
Tim is reading a book that contains 55 pages .He has read 46 pages,How many pages are unread?
Answer:
9 unread pages
Step-by-step explanation:
Take the total number of pages and subtract the pages that have been read
55-46 = 9
There are 9 pages that are unread
Help me pleasee for this equation
Answer:
11.3 (C)
Step-by-step explanation:
sqrt(12^2 - 4^2) =
sqrt(144 - 16) =
sqrt(128)-->
11.3 (C)
Answer:
11.3 ft
Step-by-step explanation:
We have a right triangle with the hypotenuse of 12 and a leg of 4
Using the pythagorean theorem
a^2 +b^2 = c^2
4^2 + b^2 = 12^2
16 +b^2 = 144
Subtract 16 from each side
b^2 =144-16
b^2 =128
Taking the square root of each side
sqrt(b^2) = sqrt( 128)
b =11.3137085
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
c=
Answer:
c=13
Step-by-step explanation:
You then square root both sides of the equation and the square root of 169 is 13.
Hope this helps! :)
Answer:
c is 13
Step-by-step explanation:
trust me bro
Suppose that in 8 minutes,40 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
5 galon por min uto
Step-by-step explanation:
I need some help please!! I'll give brainliest to first answer!!!!!!!!!!!!!
Answer:
Keith; -5, -12
Step-by-step explanation:
Logic ( Subtract 12 from both sides, then factor it out)
CAN SOMEONE PLS HELP!!!
Which points are Coplanar and noncollinear. ?
Answer:
Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.
Step-by-step explanation:
Point A (-6,8) and Point B (6,-7)
Answer:
[tex]\displaystyle \text{Midpoint} = \boxed{ \displaystyle \bigg(0,\frac{1}{2} \bigg) }[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinate Plane
Coordinates (x, y)Midpoint Formula:
[tex]\displaystyle \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2} \bigg)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle\text{Point A} (-6, 8) \\\text{Point B} (6, -7) \\\begin{aligned}x_1 & = -6 \\x_2 & = 6 \\y_1 & = 8 \\y_2 & = -7 \\\end{aligned}[/tex]
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find the midpoint:
[Midpoint Formula] Substitute in coordinates:∴ we have found the midpoint of the line segment AB.
___
Learn more about Algebra I: https://brainly.com/question/14872377
___
Topic: Algebra I
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - two points A ( -6 , 8 ) and B ( 6 , -7 )To calculate - mid point of the line joining points A and B.let the mid point be named P ( x , y )
Now ,
By Mid Point Formula ,
[tex]\bold{P(x,y) = ( \frac{ x_{1} + x_{2} }{2} \: , \: \frac{ y_{1} + y_{2}}{2} )} \\ [/tex]
According the the Question , we get to know that
[tex]\bold{x_{1} = - 6 \: \: \: , \: \: \: x_{2} = 6} \\ \\\bold{ y_{1} = 8 \: \: \: , \: \: \: y_{2} = - 7}[/tex]
Substituting the values in the mid point formula ,
[tex]\bold{P(x,y) = ( \frac{ - 6 + 6}{2} \: \: , \: \: \frac{8 + ( - 7)}{2} )} \\ \\ \bold{\implies \: P(x,y) = ( \frac{0}{2} \: \: , \: \: \frac{1}{2} )} \\ \\ \bold{\implies \: P(x,y) = (0,0.5)}[/tex]
hope helpful ~
Least to greatest-4 -8 -9 9 6
Answer:
-9,-8,-4,6,9
Step-by-step explanation:
Answer: -9,-8,-4,6,9
Step-by-step explanation:
Which is a reasonable estimate for the circumference of the circle?
Answer:
24 or 25
Step-by-step explanation:
Uh I'd say 2*4*3.14=8*3.14=25.12 or if I just rounded pi to 3 it'd be 24
when nathan was 2 1/2 years old, he was 34 inches tall. the doctor told his mother that he will be two times and 4 inches taller than that when he is an adult. which of the following equation will give h, nathans height, as an adult
Answer 5 ft 4 in
Step-by-step explanation:
2 1/2 + 2 1/2=5 + 4 inches
3x + 4 = 5x - 12; x = 8 true or false?
Answer:
True.
Step-by-step explanation:
To find out if the statement is true, just plug in 8 each time you see x.
3(8)+ 4 = 28
5(8) - 12 = 28
This proves the statement is true, x = 8.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer: False
Step-by-step explanation:
3x + 4 =5x - 12
step1: get x by it self
you would get; 4 = 2x - 12
step2; make zero-pairs
you would get; 2x - 8
lastly; 8÷2=4x
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
a system of equations is shown.
Answer:
x=4 , y=1
Step-by-step explanation:
y = 2x-7
y = -x +5
Set them equal to each other
2x-7 = -x+5
add x to each side
2x+x-7 = -x+x+5
3x-7 = 5
Add 7 to each side
3x-7+7 = 5+7
3x = 12
Divide by 3
3x/3 = 12/3
x=4
Now find y
y = -x+5
y = -4 +5
y = 1
WILL MARK BRAINLIEST JUST PLEASE HELP ME WITH THIS QUESTION
Can adjacent angles be complementary?
Give a brief explanation as to why or why not.
Answer:
Yes, adjacent angles can be complementary. Complementary angles are defined as two acute angles with a sum that is equal to 90°. if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc. Those adjacent angles are complementary.
- Hope this helped :)
At 8:00 am, it is 10 degrees outside. 12 hours later at 8:00 pm, it is -20 degrees outside. What is the difference in temperatures?
Answer:
-30
Step-by-step explanation:
At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Know a are:
CW=75. SL= 250. Y= 2x
CW= X= number of wings
SL= Y= number of sliders
X+Y= Total number of items, which can be rewritten as X+2X= total
Plug in the calories for the total
2(75X) +250X= 800
150x+250X= 400X= 800
X= 800/400=2 pieces of Slider
Double the amount for Wings=2x2=4
4wings/2 Sliders
The equations that could be used to determine the number of chicken wings and sliders in the combination meal is:
75w + 250s = 800
w = 2s
Where:
w = chicken wings
s = sliders
The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.
The total calories of wings = number of wings x calories of each wing
75 x w = 75w
The total calories of sliders = number of sliders x calories of each sliders
250 x s = 250s
To learn more about simultaneous equations, please check: brainly.com/question/23589883
