Answer:
Answer:
[tex]{ \rm{ \hookrightarrow{ \blue{ {x}^{2} + 6x + 9 }}}} \\ { \rm{ \hookrightarrow{ \red{ {x}^{2} - 9 }}}}[/tex]
Step-by-step explanation:
» General Quadratic expression:
[tex] { \rm{y = {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots)}}[/tex]
» For (-3, -3), roots are -3 and -3
• Sum of roots:
[tex]{ \tt{sum = - 3 + - 3}} \\ { \tt{sum = - 6}}[/tex]
• Product of roots:
[tex]{ \tt{product = - 3 \times - 3}} \\ { \tt{product = 9}}[/tex]
• Equation:
[tex]{ \underline{ \underline{ \tt{ \: y = {x}^{2} + 6x + 9 \: }}}}[/tex]
» For (3, -3), roots are 3 and -3
• Sum of roots:
[tex]{ \tt{sum = - 3 + 3}} \\ { \tt{sum = 0}}[/tex]
• Product of roots:
[tex]{ \tt{product = - 3 \times 3}} \\ { \tt{product = - 9}}[/tex]
• Equation:
[tex]{ \underline{ \underline{ \tt{ \: y = {x}^{2} - 9 \: }}}}[/tex]
The system of two quadratic equation is
x² + 6x + 9 = 0
x² - 9 = 0
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a'(a ≠ 0) and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."
The solution of the first equation in the system is (- 3, - 3).
Therefore, the equation will be
[x - (- 3)] [x - (- 3)] = 0
⇒ (x + 3)(x + 3) = 0
⇒ (x + 3)² = 0
⇒ x² + 6x + 9 = 0
The solution of the second equation in the system is (3, - 3).
Therefore, the equation will be
[x - 3] [x - (- 3)] = 0
⇒ (x - 3)(x + 3) = 0
⇒ (x)² - (3)² = 0
⇒ x² - 9 = 0
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The diameter of a circle field is 40m and that of another 96m . find the diameter of the circular field whose area is equal to the sum of the area of two fields
Answer :
According to the Question
Diameter of a circle field is 40m and that of another 96m .
We have to find the diameter of the circle whose area is equal to the sum of the area of given two circular fields.
Radius of field whose diameter is 40 m
→ r = 40/2 = 20m
Radius of field whose diameter is 96 m
→ r' = 96/2 = 48m
Now, calculating the diameter of Larger circular field.
Let the radius of larger field be R m .
Now, according to the given statement
Sum of Area of given two circular fields = Area of larger field
➠ πr² + πr'² = πR²
➠ π ( r² + r'²) = π R²
➠ 20² + 48² = R²
➠ 400 + 2304 = R²
➠ 2704 = R²
➠ √2704 = R
➠ 52 = R
Therefore, Diameter = 2 × R = 2×52 = 104 m
So, the diameter of Larger circular field is 104 m .
Answer:
Diameter of the circular field=40 m[tex]r = \displaystyle{ \frac{40 \: m}{2}} [/tex][tex]r=20 m[/tex]Diameter of another circular field=[tex]96 m[/tex]r=[tex]\displaystyle{\frac{96 m}{2}}[/tex]r=48 mArea of circular field(2)=[tex]πr^2[/tex]
=[tex]π×(20)^2[/tex]
=[tex]400π[/tex]
Area of circular field(2)=[tex]πr^2[/tex]
=[tex]π×(48)^2[/tex]
=[tex]2304π[/tex]
The sum of the area of the two fields=[tex]400π+2304π[/tex]=[tex]2704π[/tex]Let the radius of circular field that is formed so be r meter(m).
Now,
[tex] \cancel\pi {r}^{2} = 2704 \cancel\pi[/tex]
[tex] {r}^{2} = 2704[/tex]
[tex]r = \sqrt{2704} [/tex]
[tex]r = 52 \: m[/tex]
Area of the circular field whose area is equal to the areas of two fields,Diameter=[tex]2r[/tex]
Diameter=[tex]2×52[/tex]
Diameter=[tex]104 m[/tex]
The diameter of the circular field whose area is equal to the areas of two fields is 104 m.Step-by-step explanation:
[tex] \frak{ \blue{DisneyPrincess29}}[/tex]
Raheel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 per car plus $0.50 per hour. Garage B charges a flat fee of $2 per car plus $1 per hour.
Answer:
$6 + .50x = $2 + $1.00x
4 = .50x
8hr = x, the number of hours when both garages cost the same amount
$6 + .50 x 8 =
$10 would be the cost a both garages after 8 hours
Step-by-step explanation:
#A
Flat fee=6Rate of change=0.5Equation in slope intercept form
y=mx+by=0.5x+6#B
Flat fee=2$Rate of change=1Equation in slope intercept form
y=x+2Now for compare take any no
Let's take 10
For garage A
y=0.5(10)+6=5+6=11$For garage B
y=10+2=12$Hence Garage B is charging more
Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
_____ cups = 5 1/2 pints.
There are 11 cups in 5 1/2 pints. There are .5 pints in 1 cup, 11 cups would be 5 1/2 pints.
1. "Ten subtracted from the quotient of a number and
7 is less than -6."
Answer:
N/7 - 10 < -6
N/7 < 4
N < 28
Step-by-step explanation: hope it helps
Answer:
16
Step-by-step explanation:
first you gotta subtract until you get 7 then subtract again until you get -6
Solve the math problem
Answer: Here ya go (answers below)
Step-by-step explanation:
5,400 becomes 5.4 x [tex]10^{3}[/tex]
0.0024 becomes 2.4 x [tex]10^{-3}[/tex]
342.5 becomes 3.425 x [tex]10^{2}[/tex]
0.000004 becomes 4 x [tex]10^{-6}[/tex]
463,000,000 becomes 4.63 x [tex]10^{8}[/tex]
12.5 x [tex]10^{3}[/tex] becomes 1.25 x [tex]10^{4}[/tex]
In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp
Answer/Step-by-step explanation:
Direct proportion: If a variable increases then other variable also increases with a constant factor i.e. y = kx
Inverse proportion: if a variable increases then other variable decreases with a constant factor i.e xy = k
Assume that food will last for d days if 20 more persons join the camp.
Understand the fact that for given food number of days food last is inversely proportional to the number of persons hence product of days food lasts and number of persons is constant,
Days x number of persons = constant
Equate the product of 300 persons and 42 days with (300 + 20) person and d days to solve for d.
[tex](300+20) *d=300*42[/tex]
⇒ [tex]d = \frac{12600}{320}[/tex]
⇒ [tex]d =\frac{1260}{32}[/tex]
⇒ [tex]d=\frac{315}{8}[/tex]
⇒ [tex]d=39.375[/tex] [tex]days[/tex] [tex]or[/tex] [tex]39(\frac{3}{8} )days[/tex] [tex]in[/tex] [tex]fraction[/tex]
Hence, if 20 more people Join (320 people ) it will last 39.375 days in decimal or 39 3/8 days in fraction
[RevyBreeze]
A point on a pre-image is currently located at (1, -3). The pre-image is translated 3 units right and 6 units up. What are the NEW coordinates for the point after the translation? Use graph paper to sketch the translation if needed. Question 3 options:
A. (3, 4)
B. (4, 3)
C. (7, 0)
D. (-2, 2)
Answer:
4,3
Step-by-step explanation: I took the test trust
What is 2 to the 5th power multiplied by 2 to the negative 3rd power??
Answer:
4
Step-by-step explanation:
[tex]2^5 \times 2^{-3}[/tex]
Because the powers have the same base of 2, we can apply the index law:
[tex]a^b \times a^c=a^{b+c}[/tex]
Therefore, [tex]2^5 \times 2^{-3}=2^{5-3}=2^2=4[/tex]
Which property of soil depends on the size of particles?
color
odor
temperature
texture
The property of soils which depends on the size of particles is Texture.
Properties of SoilThe properties of Soil include colour, odor, temperature, and texture as measured by porosity, mouldability and a host of other texture effects.
It is evident that the texture of soil is dependent on the size of the particles as it affects how packed the particles of the soil is.Read more on properties of soil;
https://brainly.com/question/26462165
Answer:
the right one is texture
Step-by-step explanation:
i got it right on the test
The length of a rectangular dance floor
is 4.325 meters. The width of the floor is
3.6 meters. What is the area, in square
meters; of the dance floor?
Answer:
15.57 square meters
Step-by-step explanation:
to figure out are you do L X W or length X width wich in this case is 4.325 X 3. 6
THREE ANSWERS, THANK YOU!!
Well let's see how many equations we can make;
Main equation:-
[tex] \dashrightarrow \tt 15 + {?} = 36[/tex]
Delivered equations:
[tex] \dashrightarrow \tt 15 = 36 - {?}[/tex]
[tex] \dashrightarrow \tt { ?= 36 - 15}[/tex]
These are 3 equations
hope it helps
Answer:
15+?=36, ?+36=15, and ?=36-15
Step-by-step explanation: Hope it helps
17 is what percent of 68?
Answer:
25%
17 is what percent of 68?
Its 25%
17/68*100
= (17*100)/68
= 1700/68 = 25
Answer:
25%
Step-by-step explanation:
Question : 17 is what percent of 68?
Answer :
To solve this let the unknown percentage be x .
Let us solve now.
68 × x% = 17
68 × [tex]\frac{x}{100}[/tex] = 17
And now let us find the percentage by making x as the subject.
[tex]x=\frac{17*100}{68}[/tex]
[tex]x = \frac{1700}{68}[/tex]
[tex]x =25[/tex]
Therefore, the percentage is 25%
Hope this helps you :-)
Let me know if you have any other questions :-)
Help! it's giving me a headache and I will be very thankful
Answer:
Hey, I'm not sure if this will help but by just looking at it I would say C.
Explanation:
This is because it looks like the parallelogram can be adjusted to be a rectangle which would give you the answer of 77.
I hope that makes sense!
i've tried everything for b??
Answer:
5/8
Step-by-step explanation:
There are 8 square in the box and 5 are filled in, so it is 5/8.
y=3x-7
complete the missing value in the solution to the equation
(1,?)
You can use the formula a = to find the batting average a of a batter who has h hits in n times at bat. in If a person has a batting average of 280 and has been at bat 300 times, how many hits does the batter have?
Answer:
Step-by-step explanation:
BA = Number of hits / Times at bat
BA = 280 / 300
BA = 0.933
No one past or present, has ever had that kind of batting average.
Ty Cobb has a lifetime average of 0.366
Ted Williams was the last play to average 0.406 in a season. (Over 400). He did it in 1941.
Not understanding what I underlined in the pic please help explain it’s number 16
in the equation that u underlined u just take common in it
like
-x+xy
-x(1-y)
hope it helps you
have a great day bud. ;)
The product of the polynomial is x² - x + xy + 16y - 2y² - 30
Polynomial
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic and so on.
Given the polynomial:
(x + 2y - 6)(x - y + 5) = x² + 2xy - 6x - xy - 2y² + 6y + 5x + 10y - 30
= x² - x + xy + 16y - 2y² - 30
The product of the polynomial is x² - x + xy + 16y - 2y² - 30
Find out more on Polynomial at: https://brainly.com/question/2833285
Identify the lengths of two blank sides
Answer:
14 inches
Step-by-step explanation:
First identify the length of two corresponding sides.
Write the matching lengths as a Fraction or a Colon ratio.
then you would simplify the ratio if possible.
help me with parallel and prependicular please
parallel option a
its parallel to each other
You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend
is from the restaurant is given by y = -40% + 200, where I is the number of hours since your friend left home.
You live 100 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that
represents your distance from the restaurant
Answer:
When x=0 the friend is 200 miles from the restaurant and at x=5 the friend reaches the restaurant. When x=0 you are 100 miles from the restaurant, so 100 is the y intercept, and when x=5 you reach the restaurant so 5 is the x intercept. We have y=mx+100 and y=0 when x=5, so 0=5m+100 therefore m=-20 and the equation is y=-20x+100.
Do 42 and 43 pleasee
Answer:
42. A
43. C
Step-by-step explanation:
42. The answer is A. This is because we are distributing (multiplying) the 7.2 to each number in the parentheses.
43. If Hal ran 4.5 laps, then he ran...
0.65 mil (since each lap is 0.65 miles)* 4.5 (laps) = C. 2.925 miles.
Answer:
42. A, distributive property tells us how to solve expressions in the form of a(b + c).
43. 0.65 miles x 4.5 laps = 2.925, C
what is 7(8x+5x+8)−7x in it simplist form
Answer:
84x+56
Step-by-step explanation:
Hope this helps!
also for the future, so you don't have to waste your points, use math w ay it will solve ur problems :)
Mr c wheel shop has bicycles and go karts to rent. Each bicycle has only one seat and each go kart has only one seat. Each bicycle had 2 wheels and each go kart has 4 wheels there are a total of 21 seats and 54 wheels. How many go karts and how many bicycles are at the shop
Answer:
2
Step-by-step explanation:
trust me its is the answer
please help me with this
Answer:
match the boxes to the parts of the equations shown below
Step-by-step explanation:
Left[tex]\text{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-34}{5-3}=\dfrac{16}{2}=8[/tex]
__
Right[tex]\text{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-31}{30-1}=\dfrac{-29}{29}=-1[/tex]
A painter charges a flat fee and then an additional hourly fee for his work. The table below shows the amount of money the painter ears and the number of hours he works. Create an equation to match the table
of value
1. y - 50x + 25 2. y=100x + 25
3. y=30x + 65
4. y=1502 - 25
Answer:
1. y = 50x + 25
Step-by-step explanation:
See attached image.
need help please this is due very soon
An employee at a state park has 54 photos of animals found at the park. She wants to arrange the photos
in rows so that every row except the bottom row has the same number of photos. She also wants there to
be at least 5 rows.
Complete the description of two different ways she can arrange the photos.
photos or arrange the
She can arrange the photos as rows of 10 photos and 1 row of
photos as rows of 8 photos and 1 row of photos.
help, don’t ask me 2 use the calculator, mine doesn’t work ♀️♀️
Answer:
2.5
Step-by-step explanation:
10/4=2.5
Answer:
6,4,7,6
Step-by-step explanation:
What is the equation for the following graph?
Ans
y=0x+1
Step-by-step explanation:
Convert 4.06 to a percent. please help, i need this for school and i have to get an 80 on this assignment.
Answer:
406 percent
Please brainliest me i am begging you for god sake
using the distance formula d=√(x2- x1)^2 +(y2-y^1, what is the distance between point (-3,1) and point (-2,4) rounded to the nearest tenth
Answer:
[tex]d = \sqrt{(x2 - x1) + (y2 - y1)} \\ d = \sqrt{ (- 3 + 2) + (1 + - 4)} \\ d = \sqrt{ - 1 + - 3 } \\ d = \sqrt{ - 4 } \\ d = - 2[/tex]
Step-by-step explanation:
hope it helps you<3