The equation has two solutions. Means Discriminant means b^2-4ac >0
Here b = a.
a = 1
c = b
a^2 - 4b >0
a=2
b= -1
then a^2 - 4b > 0 = 4+4 > 0
therefore its 2, -1
The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.
We have,
Given that the equation x² + ax + b = 0 has solutions a and b, the sum and product of the roots (a and b) can be related to the coefficients of the quadratic equation.
The sum of the roots of a quadratic equation is given by:
Sum of roots = -coefficient of x / coefficient of x² = -a
The product of the roots of a quadratic equation is given by:
Product of roots = constant term / coefficient of x² = b
From the given information, we have:
The sum of roots = a
Product of roots = b
Thus,
The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.
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The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14 for .
» The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14.
[tex]\blue{\bold{37.68 \: \:kilometers}}[/tex]— — — — — — — — — —
Step-by-step explanation:To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.
— Multiply the diameter with π in order to get the circumference of a Circle.
[tex] \tt \: d = 12 km \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×12 \: km \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 37.68 \: km}}}}[/tex]Therefore, the circumference of the circle is 37.68 kilometers.
_______________∞_______________
Answer:
37.68km
Step-by-step explanation:
c=2πrthus
2×3.14×6= 37.68alternative
c= πDc= 3.14×12= 37.68kmA model of a plane has a wingspan
of 14 inches. If the scale of the
model is 1 inch : 4 feet, the
wingspan of the actual plane is
feet.
Help Resource
Per
Enter
220-
clan
Answer:
the inches is 2.8 inches
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
help meh out and ill give u brainlyst
Answer:
A
Step-by-step explanation:
the a part is right circle that one
Answer:
Your answer is letter a. 3/8
What geometric shapes are in the fools puzzle quilt
The quilt consist of the following geometric shapes, which are the areas
bounded by lines, including;
An octagonA pentagonA right isosceles triangleAn equilateral triangleHow can the geometric shapes in the quilt be found?
Geometric shapes are shapes with boundary lines, interior angles and
surfaces.
The possible given quilt is attached;
From the given quilt, we have;
An octagon
A pentagon
A right isosceles triangle
An equilateral triangle
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Find the vertex of y = 5 x^2+ 2 x − 1
Answer:
-12
Step-by-step explanation:
-12
Sorry if this is correct please mark brainiest
Daniel and his family are going on a summer vacation for 6 weeks exactly. Daniel estimates that he will need 6 loaves of bread to feed him during this time. Calculate how much bread Daniel will actually need, and state whether you agree or disagree with Daniel's estimate based on this calculation.
Answer:
Daniel will need 9 loaves of bread (108 slices)
Step-by-step explanation:
Daniel eats 18 slices of bread a week.
2 slices per week day (2 x 5 = 10)
4 slices per weekend day (4 x 2 = 8)
10 + 8 = 18
he will be there 6 weeks
18 x 6 = 108.
There are 12 slices of bread per loaf.
108 divided by 12 = 9.
Therefore, he will need 9 loaves of bread.
Help! I need help!
- solve the system using elimination....
x - 3y = -11
-x + 2y = 7
We minus these equations : x - 3y - (-x + 2y) = -18
= x - 3y + x - 2y = -18
2x - 5y = -18
Now, we add these equations :
x - 3y = -11
-x + 2y = 7
-> x - 3y - x + 2y = -4
-y = -4
y = 4
Replace it in 2x - 5y = -18
2x - 20 = -18
2x = -18 + 20 = 2
x = 1
Recheck : 1 - 3 x 4 = -11
-1 + 8 = 7.
Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2
Answer:
[tex]3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\[/tex]
Substituting Equation 2 into equation 1
[tex]3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\[/tex]
Substitute the value of y into Equation 2
[tex]x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\[/tex]
Therefore x=-8, y=-2
Step-by-step explanation:
Have a nice day :)
If startfraction 1 over 64 endfraction = 4 superscript 2 s minus 1 baseline times 16 superscript 2 s 2, what is the value of s?
The value of s after calculation will be s=-1
What will be the value of s?It is given that
startfraction 1 over 64 endfraction = 4 superscript 2 s minus 1 baseline times 16 superscript 2 s 2
So the mathematical form will be
[tex]\dfrac{1}{64} =4^{2s-1} \times 16^{2s+2}[/tex]
[tex]4^{-3} =4^{2s-1} \times 16^{2s+2}[/tex]
[tex]4^{-3} =4^{2s-1} \times 4^{2(2s+2)[/tex]
[tex]4^{-3} =4^{2s-1+2(2s+2)[/tex]
[tex]4^{-3} =4^{2s-1+2(2s+2)[/tex]
[tex]-3=2s-1+2(2s+2)[/tex]
[tex]-3=2s-1+4s+4[/tex]
[tex]-3=6s+3[/tex]
[tex]-6=6s[/tex]
[tex]s=-1[/tex]
Thus the value of s after calculation will be s=-1
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Answer:-1 is the answer
Step-by-step explanation:
A fish tank in the shape of a cube has a side length of 15 inches. How much water does the fish tank hold when completely filled with water?
The amount of water the fish tank can hold is 3375 inches³.
Volume of a cubev = l³
where
l = length
Therefore,
length = 15 inches
How much water the tank can hold is the volume of the tank. Therefore,
v = l³
v = 15³
v = 15 × 15 × 15
v = 3375 inches³
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factor the following expression.
x^2 - 7x + 10
tyyyy
Answer:
(x-5)(x-2)
Step-by-step explanation:
x^2-7x-10
= x^2-2x-5x+10
= x(x-2)-5(x-2)
= (x-5)(x-2)
If someone could help and give an explanation that’d be great!
**rate of change for f(x)**
f(x)=-0.3x^2
-0.3(1)^2=-0.3^2=-0.09
-0.03(5)2=-0.15^2=-0.0225
rate of change = (-0.0225-(-0.09))/(5-1)=0.0675/4=0.016875
f(x) rate of change is 0.016875 or about 0.02
**rate of change for g(x)**
g(x)=-0.6x^2
-0.06(1)^2=-0.06^2=-0.0036
-0.06(5)^2=-0.3^2=-0.09
rate of change = (-0.09-(-0.0036))/(5-1)=-0.0864/4=-0.0216
g(x) rate of change is -0.0216 or about -0.02
**how much greater?**
0.02(-1)=-0.02
g(x) is -1 times of f(x)
area of a regular heptagon
Answer:
32.71
Step-by-step explanation:
32xcot([tex]\frac{108°}{7} \\[/tex]) = 32.70521
Help me please I need help asap
A grocery store sells a bag of 5 oranges for 3.00. If matthew spent 4.80 on oranges, how many did he buy?
Answer:
8
Step-by-step explanation:
Money/How Many
3.00/5=0.6 which means that 0.6 is the unit rate, which you now divide 4.80, the money, by 0.6, 4.80/0.6=8
Matthew got eight oranges.
A cylindrical chemical tank is 12 feet high and has a diameter of 45 feet. How many cubic feet of
liquid could the tank hold?
Answer:
6075π ft^3
Step-by-step explanation:
The formula for a cylinder is πr^2 * h
were:
h = height
and r = radius
and because the radius is always 1/2 of the diameter, the radius is 22.5.
So now we plug everything in:
π*22.5^2 * 12
= π*506.25 * 12 =
π * 6075 =
6075π
please don't forget to add the units.
Can 9 40 41 make a triangle
Answer:
yes
Step-by-step explanation:
Hi there!
We want to see if 9, 40, and 41 can be the sides of a triangle that can exist
We can use triangle inequalities to figure that out
For triangle inequalities, if the lengths of the sides are a, b, and c, then a+b>c, b+c>a, and c+a>b, then the lengths can make a triangle
Let's say that a=9, b=40, and c=41
Now substitute these values into the inequalities:
a+b>c
9+40>41
49>41
This is a true statement.
b+c>a
40+41>9
81>9
This is also a true statement.
41+9>40
50>40
This is a true statement as well.
Since all three of the inequalities ended up being true (all three NEED to be true in order for the given lengths to make a triangle), then we can confirm that 9, 40, and 41 can make a triangle
Hope this helps!
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You have 20 juice boxes. You want to distribute the juice boxes among 6 friends, giving the same number to each. How many juice boxes can you give to each friend?
Answer:
the answer is 3
Step-by-step explanation:
20 divided by 6 gives you 3.33333333 but if you estimate it gives you 3
If the total number of juice boxes is 20 and to distribute the juice boxes among 6 friends, The number of juice boxes can you give to each friend will be 3.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
You are given 20 juice cartons, which you distribute to each of your friends. You want to give the same number of juice boxes to each of your six friends.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
The number of juice boxes can you give to each friend is,
=20/6
=3.333 ≈ 3
Thus, if the total number of juice boxes is 20 and to distribute the juice boxes among 6 friends, The number of juice boxes can you give to each friend will be 3.
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I need help find ? for these four questions….
Answer:
21) 79°
22) 46°
23) 120°
24) 100°
Step-by-step explanation:
79 and 79 are corresponding and congruent. 134 and 46 are supplementary (add to 180). 60 and 120 are supplementary (add to 180). 100 and 100 are alt. exterior and congruent
If Tara multiplied her food bill by 1. 2 to get her total restaurant bill, what percent tip was she leaving?.
Answer:
20%
Step-by-step explanation:
If bill is 1x, then the additional 0.2x (to make it 1.2x the total bill) is (0.2/1.0) = 0.20 or 20%
Question 4 options:
A prism with a base area of 6 ft² and a height of 7 ft is dilated by a factor of 3/2.
The volume of the dilated prism is ___ cubic ft
the team won 3/8 of its games and lost the rest. what as the teams win:loss ratio
Answer:
3:8 mark brainli.st
Step-by-step explanation:
find the value of 7 + 3^(2) (-5 + 1)-:2
Answer:
7+(((3^2)*((-5)+1))/2
=-11
Step-by-step explanation:
Jamstock gas station sold 417. 5849 litres of gas in a day. How may litres of gas did the gas station sell, rounded to the nearest hundredth
Answer:
417.5500
because 49 is lower than 50
cycle charges an initial price of $15 plus $0.75 per hour for bike rentals which is represented by the expression 15+0.75h
An item at a consignment shop is marked down 10% each week until it sells. A dress originally priced at $150 sells during the seventh week
Answer:
I'm guessing the question asks us what is the current balance of the dress after 7 weeks.
So it if drops by 10% every week, we need to find how much it went down one week;
consider 10% as 10/100 in fraction form;
10/100 x 150 = $15, it goes down by $15 each week, but we need to find how much 7 weeks would be:
7 x $15 = $105, it went down $105 so we need to subtract that from the total:
150 - 105 = $45, it would now be currently up for sale for $45.
what is the unknown fraction 4/10 + _____ = 73/100
Answer: the answer is 33/100 or .33
Answer:
33/100
Step-by-step explanation:
Because since 4/10 + ?= 73/100 that means the denominator get's change so we know that the demonter for the ? number had to have 100 as a denominator.
And since that number has a 100 for their demonter that means we times our demonter(10 until it get's to 100 so how many times do we times 10 to it get's to 100? the answer is 10.
So since we times our denominator we also have to times our numerator by 10 as well what is 4 times 10? Our answer is 40.
So now our fraction 4/10 is now 40/100. what= 73 when you add it to 40?
Our answer for that is 33 how I know is 40+ 33= well lets add the tens what is 40 + 30=70 now add ones 3 so 73 and our denominator is already the same and our fraction now is 73/100. and there's our answer.
4/10(40/100 now because of the calculations) + 33/100=73/100 so we figured out our mysterious fraction| Mysterious fraction=73/100.
Hope this helps have a magnificent day:)
Which expression is equivalent to j (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j)?
13 Superscript j
13j
j Superscript 13
j + 13
Answer:
j^13
Step-by-step explanation:
j*j*j*j*j*j*j*j*j*j*j*j*j= j^13
Answer:
j^13
Step-by-step explanation:
Got it right on the quiz
what does Squared mean
Answer:
If something is squared it is multiplied by itself
Step-by-step explanation:
If 4 was squared it would be like 4 times 4 which is 16
Select the polynomial that is a perfect square trinomial. 9x2 9x 1 36b2 − 24b 8 16x2 24x 9 4a2 − 10a 25.
The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
What is square?The square can be defined as a two-dimensional figure that has 4 equal sides.
Given are the equations of the areas of the polynomial.
Option C: [tex]16 x^2 + 24x +9[/tex]
We can write the above equation as,
[tex](4x)^2 + 2 \times 4x \times 3 + (3)^2[/tex]
[tex](a+b)^2 = a^2 + 2ab+b^2[/tex]
Here a = 4x and b = 3, so
[tex]16x^2 + 24x+9 = (4x+3)^2[/tex]
The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.
Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
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