The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
1) Since we've been given the equation x²+4x +4=12 then let's solve it to find the roots
2) Applying the resolutive formula
x²+4x +4=12
x²+4x +4-12 =0
x²+4x -8=0
now, we know, here,
D = b² - 4ac
so, solving we get,
D = 48
Now, the roots are,
x = -b ± √D / 2a
so, here, we get,
x_1 = -2 + 2√3
x_2 = -2 - 2√3
Hence, The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.
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How to evaluate (-5)^-3 when 5 is a prime number.
Answer:
[tex]\left( -5\right)^{-3} =-\frac{1}{125}[/tex]
Step-by-step explanation:
[tex]\left( -5\right)^{-3} =\frac{1}{\left( -5\right)^{3} } =\frac{1}{-(5)^{3} } =\frac{1}{-125} =-\frac{1}{125}[/tex]
In a school 50% of learner's are younger than 10 , 1/20 are 10years old and 1/10 are older than 10 but younger than 12, the remaining learner's are 12 years old . If there are 400 learner's in the school ,how many learner's are there in each age group?.
Answer:
1/20=10 years old
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
50%= younger than 10
1/20=10 years old
1/10=older than 10 younger than 12
70=12 years or older
50%- 10/20
1/20-1/20
1/10-2/20
10/20+1/20+2/20=13/20
70 students =7/20
1/20 = 10 years old.
7/20 divided by 7 = 1/20
70 divided by 7=10
10 students are 10 years old
Answer:
~ 10 years old ~
Step-by-step explanation:
1/20=10 : )
What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the
smaller figure? The figures are not drawn to scale
keeping in mind that the ratio of the sides is the same as the ratio of the perimeters, Check the picture below.
Aj has dollers in her account she spends $35. 31 if the balance in her account is $161. 23 what was the amount in her account before her purchase
When patterning a shotgun, what is a sufficient percentage of pellets within a 30-inch circle?.
The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The percentage of pellets within a 30-inch circle.
Now,
We know that;
According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
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Which of the following is a monomial?
A. 20x^9-7x
B. 11x-9
C.20x^9
D.9/x
Answer:
c is the monomial as it fulfills the monomial equation ax^n where n is a whole number
hi! I hope that I can get the answer
Answer:
84 ft ^3
Step-by-step explanation:
volume = 1/3 * base area * height
volume = 1/3 * (6*7) * 6
volume = 1/3 * (42) * 6
volume = 14 * 6
volume = 84
helppp meee please eee
Answer:
C ≈ 25.1 yd
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )
Answer:
25.1
Step-by-step explanation:
Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd
π = 3.14
= 2 x π x r
= 2 x 3.14 x 4
= 25.12
Rounded up:
= 25.1
Lawrence is making 10 gift baskets. The table shows the food he has bought for the baskets . if the food it divided evenly , how much of each type of food will he put in each basket? complete the table. Give each answer as either a fraction mixed number or a decimal.
Answer:
i cant awnser
Step-by-step explanation:
wheres the table....like i cant tell
PLEASEEEE HELP MEEE
Matching equations with diagrams & finding unknown ancies
is on line WY. Find the value of b.
Which equation(s) and angemeurerents go with the
diagram. Choose ALL that apply
(Select all that apply.)
A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?
Answer:
5 feet long and 1 foot wide, and vise versa.
Step-by-step explanation:
First of all, we can make pairs.
Then just look at what I do
(6, 0) <= This can't be possible
(5, 1) <= This is the largest
(4, 2) <= This isn't the largest
(3, 3) <= This isn't the largest
(2, 4) <= This isn't the largest
(1, 5) <= This is the largest
(0, 6) <= This can't be possible
The ones labled "This is the largest" are the correct ones
5 I bought 5 boxes of
crackers using a
coupon for 20% off. My
total bill was $6. What was
the original price of one
box of the crackers?
Answer:
1.20 x .2 which is the percent is $6. so the answer is $1.20
The original price of one box of crackers was $1.5 as per the concept of percentage.
Let's assume the original price of one box of crackers is "x" dollars.
After applying the 20% off coupon, you paid 80% of the original price for each box.
So, the discounted price of one box of crackers is 0.8x dollars.
Since you bought 5 boxes of crackers at the discounted price, the total bill becomes:
Total bill = 5 × 0.8x
Total bill = 4x dollars
Given that the total bill was $6, we can set up the equation:
4x = 6
Now, we solve for "x":
x = 6 / 4
x = 1.5
So, the original price of one box of crackers was $1.5. Before the discount, each box cost $1.5, but with the 20% off coupon, you paid 80% of the original price, which resulted in a total bill of $6 for 5 boxes.
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what is 6/-9 simplified?
Answer:
Reduce by cancelling common factors.
The simplified expression of this problem is -2/3
[tex]-\frac{2}{3}(-0.6)[/tex]
Answer:
-2/3
Step-by-step explanation:
Use the Pythagorean theorem to find x. Enter the answer in simplified form.
Need help ASAP!
Answer:
x=13.855
hope i was able to help you
2. Two newspapers are comparing sales for last year.
● The Post sold 34,859 copies.
●
The Tribune sold two-and-a-half times as
many as the Post.
Write an equation that compares the number of
newspapers sold.
Answer:
t= 2.5P
Step-by-step explanation:
tribune= 2.5 x post
Find the surface area of the cylinder. Type an exact answer in terms of pi.
Answer:
154π cm²
Step-by-step explanation:
Radius (r) = 7 cm
Height (h) = 4 cm
Surface area of cylinder
= 2πr (h + r)
= 2π (7) (4 + 7)
= 2π (7) (11)
= 2π (77)
= 154π cm²
______
Hope it helps ⚜
Answer:
154π cm²
Step-by-step explanation:
Formula for the Surface Area of a Cylinder
SA = 2πr (h + r)Solving
Here r = 7 cm and h = 4 cmSA = 2πr (h + r)SA = 2π × 7 (7 + 4)SA = 14π × 11SA = 154π cm²3 ounces for every 3/4 cup
What is the solution to the system of equations below?
y = negative 3 x + 5 and y = 4 x minus 2
Answer:
(1, 2)
Step-by-step explanation:
Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.
So -3x + 5 = 4x - 2
Then group terms like so by moving them to the other side:
5 + 2 = 4x + 3x
7 = 7x.
Therefore x = 1.
Now to find y we substitue the value of x into an equation that contains y:
Y = 4x - 2
{x = 1}
Y = 4 - 2
Y = 2
Therefore the solution is (1, 2)
two tenths plus blank equals forty nine hundredths
a
fifty one hundredths
b
twenty nine hundredths
c
forty seven hundredths
d
ninety eight hundredths
Answer:
b blank = 29/100
Step-by-step explanation:
2/10 + blank = 49/100
blank = 49/100 - 2/10
We need a common denomonator of r10 and 100. We can use 100.
blank = 49/100 - 20/100
blank = 29/100
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student who has a cat also has a dog?
Answer:
14/30
Step-by-step explanation:
An elephant at an animal sanctuary weighs 5.5 tons. He receives a daily nutritional supplement. The instructions say to give 1 fluid ounce of supplement for every 250 pounds of body weight.
Answer:48.5
Step-by-step explanation: Convert 5.5tonnes to pounds, that will be 12125.4pounds
To find how many 250pounds shots of supplement needed, divide by 250
12125.4÷250=48.5fluid ounce daily.
Answer number 1 please. Thank you
Answer:
A and B and C
Step-by-step explanation:
D and E are both resulting in answers that are not 2 and 1/2
The radius of Circle A is 3 in. The radius of Circle B is 3 in. greater than the radius of
Circle A. The radius of Circle C is 3 in. greater than the radius of Circle B. The radius of Circle D is
2 in. less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is __in. 2
Answer:
Area of A: 9pi
5.4 Times greater
Step-by-step explanation:
Circle A Radius: 3
B Radius: 3+A (6 total)
C Radius: 3+B (9 total)
D Radius: C-2 (7 total)
Area of each Circle using formul pi*radius²
A: 9pi
B: 36pi
C: 81pi
D: 49pi
49/9 = 5.4 Circle D is 5.4 times greater then A
What is the volume of the triangular prism
Step-by-step explanation:
The volume =
base area × height
1/2×3.6×2.4 × 6
= 25.92 cm³
Walmart sells birthday cakes for. $18. After 3 days,they markdown the cakes by 45% . What is the discounted price after 3 days has passed?
Please help …. I will mark brainly
Answer:
A
Step-by-step explanation:
The slope is 4,6
Or x/y is 4/6
4/6*-3/2=-12/12
=-1
-1
and the extra 3 when you flip it.
solve the following....
[tex]-16y = 22 + 6x\\-11y - 4x = 15[/tex]
Answer:
x= -19/3
y= 31/33
Step-by-step explanation:
I hope this helps:)
a
4) The function P= 95 - 30 log 2 x models
the percentage, P, of students who could
recall important features of a classroom
lecture as a function of time, where x
represents the number of days that has
elapsed since the lecture was given.
a) After how many days do only half of
the students recall important features of
the classroom lecture? (P=50)
b) After how many days have ALL
students forgotten the important features
of a classroom lecture? (P = 0)
Answer:Assuming x is an odd number, the expression for three consecutive odd numbers would be x+x+2+x+4, which simplifies to 3x+6.ep-by-step explanation:
I will mark brainiest
b is correct !! :) good luck on whatever youre doing ^-^
George is a candle maker. Each 14cm long candle he makes burns for 7 hours. If George makes a 46cm long candle, how long would it burn