Rewrite the equation by completing the square.
X^2+8x+12=0
Answer:
(x + 4)² - 4 = 0
Step-by-step explanation:
Given
x² + 8x + 12 = 0
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 8x
x² + 2(4)x + 16 - 16 + 12 = 0
(x + 4)² - 4 = 0
Need help with 22 and please gives explanation
Answer:
45 mi/h
Step-by-step explanation:
Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:
[tex]d = vt[/tex] (which is the formula that connects velocity, time and displacement).
Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.
since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:
80 = [tex]v_{avg}[/tex]*(4/3) where [tex]v_{avg}[/tex] is the average velocity of the trip. Finally, we get [tex]v_{avg}[/tex] = 45 mi/h
Find the value of x.
X
(x-58)
Answer:
119 degree
Step-by-step explanation:
The both x and x-58 are coincident to each other so they have sum of 180 degree.
So,
x + x-58 = 180
2x= 180+58
x= (180+58)/2
x= 119
Answer:
As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º
So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.
The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.
90 + 90 + x + (x - 58) = 360
122 + 2x = 360
2x = 360 - 122
2x = 238
x = [tex]238/2[/tex]
x = [tex]119[/tex]
Sowe know one angle measueres 119º and the other 61º
-2 (2x + 11) = 5x + 14
Answer:
x=-4
Step-by-step explanation:
First, write the expression and distribute.
-2(2x+11)=5x+14
-4x-22=5x+14
Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.
-4x-22=5x+14
+4x +4x
-22=9x+14
Now, subtract 14 on both sides.
-22=9x+14
-14 -14
-36=9x
Divide both sides by 9.
-36=9x
/9 /9
-4=x or x=-4 (they both mean the same thing)
Have a wonderful day! I hope this helped :3
My rank is 27 out of 667 students for my senior class...what rank would I be considered? Top 10th, top quarter, top half, or bottom half. (I filling this out for an app btw)
help please :( help me :)
Answer:
0.7
Step-by-step explanation:
-4 - x1
3 - y1
2- x2
-1- y2
-1 - 3
2 - -4
-4
6
-4/6 = 0.7
Answer:
-4/6
Step-by-step explanation:
-1-3/2-(-4)=-4/6
IF f(x) = -3x – 2; FIND f(3)
Your answer
IT fill
TATT
Answer:
f(3) = -3(3) - 2
Step-by-step explanation:
3f = -3 x 3 -2
3f = -9 - 2
3f = -11
f = 3.6 (rounded)
Explain why the graph of the quadratic function ()=2++5 crosses the y-axis by does not cross the x-axis
Answer:
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
Step-by-step explanation:
Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.
Answers
$0.02
$0.19
$1.93
$19.25
Answer:
0.19 aka B
Step-by-step explanation:
Find the value of y. images attached.
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of y
To find the value of y we use tan
[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]
We have the final answer as
18.61Hope this is helps you
A hiker started the day at an elevation of 800 feet. He climbed 200 feet in elevation to his first rest stop, hiked down 400 feet in elevation to his second rest stop, and climbed 500 feet in elevation to his third rest stop. What is the average elevation of his three rest stops
Answer:
The average elevation of his three rest stop is 900 ft
Step-by-step explanation:
The elevation at which the hiker started = 800 feet
The extra height to which he climbed on his first rest stop = 200 feet
The height down which he climbed to his second rest stop = 400 feet
The height to which he then climbed to his third rest stop = 500 ft
Given that the hiker started at 800 ft, we have;
His height at his first rest stop = 800 + 200 = 1,000 ft
His height at his second rest stop = 1000 - 400 = 600 ft
His height at his third rest stop = 600 + 500 = 1,100 ft
Therefore, the average elevation, hₐ, of his three rest stop is given as follows;
hₐ = (The sum of the three elevation)/(The number of elevation)
hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3 = 900 ft
The average elevation of his three rest stop = 900 ft.
need help with solving equations
Answer:
1) -2
2) 6
3) -9
Step-by-step explanation:
1)2/5(x+7)=2(x+3)
2/5x+2.8=2x+6
2/5x=2x+3.2
-1.6x=3.2
x=-2
2)2x+6=2/3x+14
2x=2/3x+8
1 1/3x=8
x=6
3)40+2x=6-8x-56
40+2x=-8x-50
90+2x=-8x
90=-10x
x=-9
Which situations accurately describe a ratio of ? Select all that apply.
Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
Tobias picked five daisies and eight roses.
Aly painted eight trees for every three birds.
For every eight shots, Micah made five baskets.
Please help :/
If the ratio is 5/8, or 8/5
Tobias picked five daisies and eight roses.
For every eight shots, Micah made five baskets.
If the ratio is 5/13, or 13/5
Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
If the ratio is 8/3, or 3/8
Aly painted eight trees for every three birds.
You want to buy a guitar that costs $425, but today there is a sale of 30% off. What is
the sale price of the guitar you want to buy? Would it be a mark up or a mark down and how do you know?
Answer:
297.50
Step-by-step explanation:
This would be considered a markdown because the guitar is on sale.
The distance between point A(2,3) and point B(6,1) is ?
Answer:
[tex]2 \sqrt{5} [/tex]
decimal form: 4.47213595
Answer: 395 km
lol they want it to be 200 characters long what I look like ? Lol
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
Micheal had 1000 viruses on his phone and he got rid of 99 how much viruses does he have to get rid of? and your welcome for the points :D
901
ILY EPICFARTS2021 THANKS FOR ALL THE POINTS
disregard question..............................................................................................................................
Answer:
whats the question.
Step-by-step explanation:
let me know
In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *
Answer:
Kindly check explanation
Step-by-step explanation:
Given that there were five rummers in the team;
Each runner finished one after the other
Total. Points scored =. 55
Let the positions of each runner be :
1sr runner = p
2nd runner =.p + 1
3rd runner =.p + 2
4th runner =.p + 3
5th runner =.p + 4
(1st + 2nd + 3rd + 4th +. 5th) runner = 55
(p + p + 1 + p + 2 + p + 3 + p + 4) = 55
5p + 10 = 55
5p = 55 - 10
5p = 45
p = 9
Hence,
1st runner = 9th
2nd runner = 9 + 1 = 10th
3rd runner = 9 + 2 = 11th
4th runner = 9 + 3 = 12th
5th runner = 9+ 4 = 13th
Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden. What is his unit rate
per hour for weeding these rows of his garden?
The unit rate is
rows per hour or
1.
Answer:
3 rows/hour
Step-by-step explanation:
It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.
120 minutes = 2 hours
We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :
[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]
So, the rate for weeding these rows of his garden is 3 rows per hour.
What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7
Answer:
y=x+5
Step-by-step explanation:
Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.
if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 .
Answer:
is that supposed to be a question
You are baking a casserole. The recipe calls for of a cup of beans to
make 5 servings. How many cups of beans would you need to make 25
servings?
Find an expression which represents the difference when (10x-6y)(10x−6y) is subtracted from (7x-4y) in simplest terms.
Answer:-3x+2y
Step-by-step explanation:
cómo se resuelve?
a) 3X+Y=16
5X-Y=24
b) 5X+4Y=35
2X+2Y=16
c) X+Y =21
3X+7Y=107
Help me solve this problem please
Answer:
x=-10
Step-by-step explanation:
15-2(x+5)=25
multiply the 2 by the x and 5 and you get
15-2x-10=25
since the 15 and the negative 10 are on the same side you add them together and get
5 -2x= 25
-5 -5
-2x =20
Then divide the -2/20= -10
Answer:
x = -10
Explanation:
15 - 2 ( x + 5 ) = 25
Distribute 2 through the parentheses
15 - 2x - 10 = 25
Subtract the numbers
5 - 2x = 25
Move constant to the right-hand side and change its sign
-2x = 25 - 5
Subtract the numbers
-2x = 20
Subtract both sides
x = -10
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
what is the answer? -3/4-1 3/8
Answer:
[tex]\frac{-19}{8}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{4}-\frac{13}{8}[/tex]
[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]
[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]
hope it helps u
A store sells 6 cans of soup for $2.40. How much would it cost to buy 13 cans of soup?
The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The
Answer:
27
Step-by-step explanation:
Given that:
Green shirt = 81 students
White shirt = 54 students
Orange shirt = 27 students
The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.
Factors of :
81 : 1, 3, 9, 27, 81
54 : 1, 2, 3, 6, 9, 18, 27, 54
27: 1, 3, 9, 27
The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27