The equation y = x2 – 4 + y + 2 = 0 can be solved by completing the square.
What is equation?An equation is a mathematical statement that to express our equal. Is consist of two expression separated by an equal sign and can contain numbers, variables and operators. Equation get be used to solve problems make prediction and describe relationship between different quantities. Equation can be can also be used to represent physical laws and other phenomena.
First, subtract y from both sides of the equation to get x2 - 4 + 2 = y. Then, subtract 2 from both sides of the equation to get x2 - 6 = y. Finally, add 9/4 to both sides of the equation to get (x - 3/2)2 = 9/4 + y.
This equation can be solved by taking the square root of both sides to get x - 3/2 = ±√(9/4 + y). Finally, add 3/2 to both sides of the equation to get x = 3/2 ±√(9/4 + y).
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-6 + -8 10 points plz help
Answer
The answer is negative 14.
Step-by-step explanation:
When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.
Two trains leave stations 520 miles apart at the same time and travel toward each other. One train travels at 110 miles
per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
They wont meet
Step-by-step explanation:
The one going 110 will pass before the other one can reach it.
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It will take 2.6 hours (or 2 hours and 36 minutes) long for the two trains to meet when Two trains leave stations 520 miles apart at the same time and travel toward each other.
To find the time it will take for the two trains to meet, we can use the concept of relative speed.
The two trains are traveling towards each other, so their speeds add up. The combined speed of the two trains is:
110 mph + 90 mph = 200 mph
To determine the time it will take for the trains to meet, we can divide the total distance they need to cover (520 miles) by their combined speed (200 mph):
Time = Distance / Speed
Time = 520 miles / 200 mph
Time = 2.6 hours
Therefore, it will take 2.6 hours (or 2 hours and 36 minutes) for the two trains to meet.
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8. A farmer has some ducks and pigs in his farm. A visitor counted 16 hoads and 50
legs for those animals. How many ducks and pigs are there in the farm?
A. 7 ducks and 9 pigs
C. 10 ducks and 6 pigs
B.7 pigs and 9 ducks
D. 10 pigs and 6 ducks
Answer:
A
Step-by-step explanation:
Ducks have 2 feet and 7x2=14
Pigs have 4 feet and 9x4= 36
36+14=50 legs
7+9= 16 heads
Please help ASAP! :))
Answer:
yellow
Step-by-step explanation:
The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. What is the height of the tree?
Answer: 18ft
Step-by-step explanation: I took the quiz and got 100%
The height of the tree is 8.3 ft.
To solve this problem, we have to find the angle of elevation from the student.
To do this, we have to assume or bring out a right angle triangle and solve for the.
Given that we have the distance of A to F and the point to F
A to F = 5ftE to F = 6angle ?Trigonometric RatioUsing trigonometric ratio,
We can find the tangent of this angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]
The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees
[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]
Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be
[tex]15 - 5 = 10ft[/tex]
Let's use the tangent of the angle to find the height of the tree.
[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]
From the calculations above, the height of the tree is 8.3 ft.
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Answer: 65°
Step-by-step explanation:
The basking shark can grow to a length of 30 feet. This is 176.47% of the maximum length of the beluga whale. Find the maximum length of the beluga whale. If necessary, round your answer to the nearest tenth.
a) 52.9ft
b) 17ft
c) 5.9ft
d)1.7ft
Answer:
b
Step-by-step explanation:
The maximum length of the beluga whale is 17 feet.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The basking shark can grow to a length of 30 feet.
This is 176.47% of the maximum length of the beluga whale.
Assuming the maximum length of a beluga whale is x feet.
So, 176.47% of x is 30 feet.
∴ (176.47/100)×x = 30.
1.7647x = 30.
x = (30/1.7647).
x = 17 feet.
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It’s math I suck at it please help
Answer:
24 over 10
Step-by-step explanation:
I did it in my head
What is the circumference of the following circle?
Answer:
31.4 units
Step-by-step explanation:
Formula
C = 2πr
C = 2π5
C = 2 * 3.14 * 5
C = 6.28 * 5
C = 31.4
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
Answer:
B
Step-by-step explanation:
3 to the third power + 42
as a percentage.
Answer:
It is B
Step-by-step explanation:
Please help if you can’t see the photo the problem is
.5/1 = x/1.2+x
Answer:
x= 30/11
11x=30
Step-by-step explanation:
find the slope of the line that goes through the given points
1. (0,7) (0,-8)
2. (-7,9) (-18,9)
3. (-5,9)(7,3)
4. (-7,8)(8,-3)
find the slope of the line from the given equation
1. y=-3x-4
2. y=2x+1
3. y= 3/2x
4. y= 5/9x+10
PLEASEEE HELP ILL MARK BRAINLIST
Answer:
1st=2. (-7,9) (-18,9)
2nd=4. y= 5/9x+10
Write a recursive formula for the sequence: −3, 34, −316, 364, −3256
Answer:
-7
Step-by-step explanation:
This is a re-post please help me
Answer:
10.p=135
11. y=170
12. w=180
13. r=23.5
14. d=0.33
15. r=0.57
16. b=13.5
17. c=1.96
18. d=48.76
Step-by-step explanation:
What is an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors.
Answer:
36m-6
If im wrong im sorry
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SHOW THE WORK PLEASEEEE!!!
Answer:
0 the answer
i hope its help
thats the right answer
Please help me out fast. And make sure to Write and solve an inequality. Or it isn't right.
Answer:
addition or multiplication?
Step-by-step explanation:
Answer:
6x + 45 > 240
Step-by-step explanation:
I will give in a min. You need it urgently right. So you can have the answer for now!!!
nineteen less than a number is 25 write the equation
Answer:
6
Step-by-step e
Ramon’s teacher wrote the following table on the board
She then asked the class to write a rule for the nth term of the geometric sequence represented on the table, using the format an=a(r)^n-1
Select the values for a and r that Ramon should use in order to correctly write the rule for the nth term.
an= ___(___)^n-1
—> number choices
-3
-1/3
1/3
3
9
27
81
please only respond if you know the answer :)
Answer:
23
Step-by-step explanation:
i think if not correct sorry
What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2
Step-by-step explanation:
What is the total magnification if we using objective lens 4x and our eyepiece (ocular) lens is 10x
40x
100x
400x
1000x
Answer:
Simplify: (4x2 - 2x) - (-5x2 - 8x).
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Step-by-step explanation:
Hope it help
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14=-4(-6c-3)+2 find c
Answer:
C = 0
Step-by-step explanation:
To find the answer simply, isolate the variable by dividing each side by factors that don't contain the variable to get the value of 'C'
help with this please
answer needed urgently
Answer:
5
Step-by-step explanation:
If 30 equals 4 and 60 equals 7, then 40 will equal 5 and 50 will equal 6.
I need help with geometry
Answer:
Rhombus and angle 1 = 35
Step-by-step explanation:
The parallelogram has the same marking on each of its sides, indicating that all the sides are equal in length. It is, therefore, a rhombus.
It is given that one of the angles measures 110 degrees. The other angle is 70 degrees (because 180 - 110 = 70). Since it is bisected by a line, divide the angle by 2 (70/2). You get 35 degrees. Therefore, the measure of angle 1 is 35 degrees.
I hope this helps! :)
Three partners in a business venture have incurred a debt of $9,876. Use an integer to express the amount of debt for each one.
Answer:
$3292
$9,876/3 = 3292
A rectangular prism has a length of 5 cm, a width of 2 cm, and a height of 1 cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
O 5.2.1
12.1
o 1}(5+2)
o (123•15)
Answer:
The first two options
Step-by-step explanation:
The formula is V= l x w x h So that is why the first one works.
The second one works because of the commutative property of multiplication which says that the number don't have to be in a certain order so They multiplied the first 2 numbers which equals 12 1/2 which means 12 1/2 x 1/2 would work
Geometry Substitution
I’m confused on how to substitute can someone give me a step by step explanation! Please
Answer:
x = 3
Step-by-step explanation:
I have attached a picture of me explaining you step by step.
Hope this helps, thank you !!
HURRY!!!!!
The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of y when x = 5?
Answer:
y=10
Step-by-step explanation:
what ever x='s you add 5 and what ever y='s you subtract 5
Answer:
The answer is 17.5
Step-by-step explanation:
if you divide 17.5 / 5 it will equal the same number as dividing 7 / 2 so 17.5 / 5 = 3.5
determine the solution to the equation.
PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay
Answer:
$216 or $162 (see below)
Step-by-step explanation:
If it's 18% for 9 months (and not per year)
then
1200x0.18=$216
If it's 18% per year then
1200x0.18x0.75=$162
Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?
Answer:
4,038.21
Step-by-step explanation:
I'm going to assume that when you write 6 3/8% that equals 51/8%=6.375%
To find the value in the first equation we have
69000*e^(.06375*14)=168,444.5313
The second equation is as follows
69000(1+(.0625/4))^(14*4)=164,406.3243
Subtract the two and get 4,038.2071