Answers
Hello BinibiningDel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Factorise the polynomials.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \tt \: 1) \: \: \: {x}^{2} - 49 \\ \tt \: = (x) ^{2} - ( 7) ^{2} \\ = \boxed{ \bf \: (x + 7)(x - 7) }[/tex]
Method used :-
Use the algebraic identity ⇨ a² - b² = (a + b) (a - b ).Here, a = x & b = 7.__________________
[tex] \tt 2) \: \: \: {a}^{2} + 10a+ 25 \\ = \boxed{\bf(a + 5)^{2} }[/tex]
Method used :-
Use the algebraic identity ⇨ a² + 2ab + b² = (a + b)².Here, a = a & b = 5.__________________
[tex] \tt \:3) \: \: \: {x}^{2} + x - 30 \\ = \tt ({x}^{2} - 5x) + (6x - 30) \\ = \tt \: x(x - 5) + 6(x - 5) \\ = \boxed{ \bf(x + 6)(x - 5)}[/tex]
Method used :-
Use the splitting the middle term method to factorise this.__________________
[tex] \tt \: 4) \: \: \: {4x}^{2} - {y}^{2} \\ = \tt \: (2x) ^{2} - (y) ^{2} \\ = \boxed{ \bf(2x - y)(2x + y)}[/tex]
Method used :-
Use the algebraic identity ⇨ a² - b² = (a + b) (a - b ).Here, a = 2x & b = y.__________________
[tex] \tt \: 5) \: \: \: 8 {m}^{2} n ^{3} - 6mn ^{2} \\ = \tt \: 2\left(4m^{2}n^{3}-3mn\right) \\ = \boxed{ \bf \: 2mn\left(4mn^{2}-3\right) }[/tex]
Method used :-
Take the common factor out & factorise it.__________________
[tex] \tt \: 6) \: \: \: \tt \: 2 d ^ { 2 } + 5 d - 12 \\ = \tt \: \left(2d^{2}-3d\right)+\left(8d-12\right) \\ \tt \: = d\left(2d-3\right)+4\left(2d-3\right) \\ = \boxed{ \bf \: \left(2d-3\right)\left(d+4\right) }[/tex]
Method used :-
Use the splitting the middle term method to factorise this.__________________
[tex] \tt \:7) \: \: \: y ^ { 3 } + 27 \\ = \tt (y) ^{3} + ( {3})^{3} \\ = \boxed{ \bf\left(y+3\right)\left(y^{2}-3y+9\right) }[/tex]
Method used :-
Use the algebraic identity ⇨ a³ + b³ = (a + b) (a² - ab + b²).Here, a = y & b = 3.__________________
[tex] \tt \: 8) \: \: \: 20 b ^ { 3 } c ^ { 5 } + 35 b ^ { 4 } c ^ { 2 } \\ = \tt \: 5\left(4b^{3}c^{5}+7b^{4}c^{2}\right) \\ = \boxed{ \bf \: 5b^{3}c^{2}\left(4c^{3}+7b\right) }[/tex]
Method used :-
Take the common factor out & factorise it.__________________
Hope it'll help you!
ℓu¢αzz ッ
Related Questions
Put the following numbers in order from least to greatest.-8, 15, 9, -6, -3, 12, 0, -4
Answers
Answer:
-8, -6, -4, -3, 0, 9, 12, 15
Step-by-step explanation:
For the return trip, Moses suggests taking a shortcut that will save 4 miles from the total 40-mile hiking distance. He calculates that they will need to average 6 miles per day over the 4 days coming back, because - 4 - 6. Is Moses correct?
Answers
Answer:
bvlo
Step-by-step explanation:
gv
Which equation Best represents the line grafted above
The answer choices are in the photo
Answers
Answer: y=x+4
Step-by-step explanation:
The equation for a straight line can be written as y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
We can determine b just by looking at the value of y at x=0, which is y=4.
This quickly gives us y = mx + 4. This immediately eliminates two of the possible answers (the ones where b = -4).
All we need to do now is find the slope, m.
The slope of the line can be determined by calculating the "Rise/Run." That is the change in y (Rise) for each change in x (Run). Pick any two points. I'll choose (-2,2) and (2,6). Rise = (6-2)=4; Run = (2 - (-2)) = 4.
The Rise over the Run is 4/4, or 1. The graphed line has a slope of 1, so we can now write:
y = 1x + 4
Test this by entering any vlaue of x and see if this equation correctly returns tha same value as shown on the graph. E.g., when x = 6, will this equation correctly predict y as 10? It does, so let's go with y=x+4.
Help me on this please help it’s due
Answers
Answer:
hi hi hi hi hi hi hi hi hi hi hi hi hi
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS
Answers
Answer:
the answer is D
Step-by-step explanation:
sorry if I did it wrong
Answer:
D. Yes because the sum of two lengths of any two sides...etc.
This is your answer
Step-by-step explanation:
side1 m = 3
side2 m = 7
2 smaller sides = ( 3 + 7) = 10
10 is larger than 8
proof Pythagoras theorem
3^2 + 7^2 = c^2
sqrt 9 + sqrt 49 = c^2
c^2 = sqrt 58 = 7.6 = 8 rounded to 1 significant figure.
Proof 2
show ratios of each side 3 : 7 : 9
The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed. The height can sometimes be such radius but this should be proved from the equation height of a triangle equation
isosceles not using Pythagoras = hᵇ = √ (a² - (0.5
isosceles using Pythagoras= h = 2 * area / b
obtuse height formula =Area of an obtuse-angled triangle = 1/2 × base × height. Therefore, the height of the obtuse triangle can be calculated by: Height = (2 × Area)/base Substituting the values, we get:.
So as we know Given a=3 and c=8, shows a higher amount for 7 but stays 7 in all circumstances of 1significant figure just like 8 stayed rounded down when using round figure just 7. We get;
b = 7.4162
∠α = 22.024° = 22°1'28" = 0.3844 rad
∠β = 67.976° = 67°58'32" = 1.1864 rad
h = 2.78107
area = 11.1243
perimeter = 18.4162
inradius = 1.2081
circumradius = 4
When the circumradius is 4 and we need the ratio to the inradius
this means the ratio is R : r as;
3/4 :7/4 : 8/4 = 18/4 / 7/2 = 9/7 which shows us the cr radius to the in radius ratio.
R:r therefore = 9/7
if r= 5 what is
|-r| - -r + |r| - |r|
Answers
-5+-5=0
0+5=5
5+5=10
Answer:
If r = 5, then:
(-5) - (-5) + (5) - (5) = 0
First, subtract -5 from -5 to get 0. Next, add 0 to 5 to get 5. Lastly, subtract 5 from 5 to get 0.Always remember order of operations (PEMDAS)
Hope this helps :)
In the room there are 5 big boxes. In each box there are 3 smaller boxes. In each of these small boxes the are 4 smaller boxes.How many boxes of different sizes are there in the room?
Answers
Answer:
Step-by-step explanation
there are 80 boxes in total
translate the following sentences in english. it is hindi sarwanam - nijwachak sarwanam
Answers
Answer:
Maybe try use Translate......? I mean that's what i do......
Step-by-step explanation
(100 points so hurry)What is the length of NA?
O2 units
09 units
11 units
14 units
Answers
Answer:
NA = 9 units
Step-by-step explanation:
The incentre is equally far away from the triangle's 3 sides , then
MA = LA , that is
6x - 3 = 5x - 1 ( subtract 5x from both sides )
x - 3 = - 1 ( add 3 to both sides )
x = 2
Then
LA = 5x - 1 = 5(2) - 1 = 10 - 1 = 9 , so
NA = LA = 9 units
Classify the triangle. Find the value of x
Answers
Answer:
x= 9
Step-by-step explanation:
<2 + 40 + 40 = 180 degree
<2 = 180 - 40 - 40
<2 = 100
m<2 = x + 109
x = 109 - <2 = 109 - 100 = 9
Explanation: A triangle has 180° and since 2 angles are 40° (Isosceles triangle) we can do: 180-40-40 which equals 100. Angle 2 equals 100 so we can plug that in to the equation of:
100= x + 109
-109 -109
-9 = x
solve this question please fast please.
Answers
Area of ∆ABC = 36,
Area of ∆ABC = 36,Area of ∆PQR = 64
Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12
Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.
Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.To find: PQ = ?
Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.To find: PQ = ?For this,
Recall the property,
Ratio of areas of two similar triangles = Ratio of squares of the corresponding sides
Area of ∆PQR / Area of ∆ABC =(PQ/AB)²
64 /36 = (PQ/AB)²
(PQ/AB) = √64 /36
(PQ/AB)= 8/6
PQ=AB ×8/6
PQ = 12×8/6
⇒ PQ = 2 × 8
⇒ PQ = 2 × 8⇒ PQ = 16
⇒ PQ = 2 × 8⇒ PQ = 16Thus, answer is 16.
i hope it's helpful for u ☺️
Please help!! I need this RIGHT NOW! ill give 100 points
Question 1
The standard basketball game consists of five players from each team on the court at one time.
True
False
Question 2
In basketball the defense is the team without possession of the ball.
True
False
Question 3
In basketball typically a team will consist of 2 guards, 2 forwards, and a _____.
-defender
-ball hog
-goalie
-center
Question 4
A defensive strategy where everyone guards an area is called a zone defense.
True
False
Question 5
In basketball this occurs when player controls possession of the ball on a missed shot.
-double dribble
-held ball
-rebound
-travel
Question 6
If your team doesn't have the ball you are on offense.
True
False
Question 7
Man to Man is a defensive strategy where everyone guards an assigned player.
True
False
Question 8
I can dribble the ball, stop dribbling, and then dribble again.
True
False
Question 9
What is the correct position to guard an opponent?
-stay between the opponent and the basket
-guarding as close to the opponent as possible
-face the opponent rather then the ball
-playing the opponent slightly to the right
Question 10
A field goal is another term for making a basket.
True
False
Question 11
In basketball a _____ occurs when a player holding the ball keeps one foot at a point of contact with the floor while stepping in any direction.
-steal
-pivot
-screen
-assist
Question 12
In basketball the free throw line is _____ feet from the basket.
-5
-15
-10
-20
Question 13
_____, a pass to a teammate that results in a made basket.
-Assist
-Chest Pass
-Rebound
-Defense
Question 14
When dribbling the basketball, you want the ball to be making contact with your finger tips (pads of your fingers)?
True
False
Question 15
In basketball the basket is _____ feet above and parallel to the floor.
-15
-5
-20
-10
Question 16
Can your resting heart rate be below 60?
True
False
Question 17
Before a game, which of the following would be an example of good sportsmanship?
-Ignoring your opponent before the game
-Wishing your opponent good luck before the game starts
-Laughing as your opponent warms up before the game
-Telling your opponent that you hope they lose the game
Question 18
As your fitness increases, your heart rate will increase.
True
False
Question 19
What is sportsmanship?
-Coming in first place during a competition
-How to treat others when playing a game or sport
-The rules or guidelines of a sport or game
-Coaching or leading an athletic team
Question 20
Normal heart rate while active should be between 100 minimum - 160 vigorous bpm.
True
False
Answers
Answer:
1- true
2- True
3- Center
4- True
5- rebound
6- True
7- true
8- False
9- face the opponent rather then the ball
10- False
11- Pivot
12- 15
13- Assist
14- TRue
15- 10
16- True
17- Wishing your opponent good luck before the game starts
18- True
19- How to treat others during a game
20- True
Answer:
HERE YOU GO
Step-by-step explanation:
1: true
2: true
3: center
4: true
5: rebound
6: false
7: true
8: false
9: stay between the opponent and the basket
10: false
11: pivot
12: 15
13: assist
14: true
15: 10
16: it can but probably not heart rate is 60-100
17: wishing good luck
18: true
19: how to treat others
20: depends on what your doing
max workout is 188-208
hard work out is 166-188
moderate is 146-166
light is 125-146
I think true.
please help using the pythagorean theorem !!!!!
Answers
Answer:
13
Step-by-step explanation:
h^2=5^2+12^2
h^2=25+144
h^2=169
h=sqr169
h=13
Answer:
13
Step-by-step explanation:
by Pythagorean theorem a²+b²=c²
a=5, b=12, c=AC
5²+12²= 25+144
=169
c²=169
c=✓169
=± 13 ( but length could only be positive)
AC=13
i just wanna say i hope your having a good day! and you are enough! keep going u got this!
Answers
aww,thank you ^^
i hope you're having a good day as well
Answer:
thank youuu
Step-by-step explanation:
will mark as brainliest plz help
Answers
BC = BD
Step-by-step explanation:
AC = AD
because AB bisect ∠A or
∠CAB = ∠BAD
∴ So, BC = BD
Which box of cereal is the better value for money?
You must show our working.
Answers
Answer:
first one is a answer me I think it is a right to me
A stallholder at the weekend market buys 10kg of broken chocolate pieces for $45. She puts them into smaller plastic bags of 250g and sells them for $1.50. Find the percentage profit.
Answers
Step-by-step explanation:
CP=45
SP= 1.5 X 10,000/250
THEREFORE SP=60
PROFIT=15
PROFIT % =(PROFIT/CP) X 100
(15/45) X 100
=33.3%
Convert 3009 inches to yards,feet and inches. (Show your work)
Answers
Answer:
Yards: 83.58
Feet: 250.75
Inches: 3009
Step-by-step explanation:
Yards: 1 yard = 36 inches
3009/36= 83.58
So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.
Feet: 1 foot = 12 inches
3009/12= 250.75
Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.
Inches: It's already in inches :)
I hope this isn't confusing and I could help!
Answer:
Yards : 83.5833333 Feet:250.75 Inches: 9
Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.
I have been seeing mixed answers on this so please help me.
Answers
Answer:5
Step-by-step explanation:
A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
Hint: Use the formula y = P(1 + r)x.
y = 2,000(0.94)x
y = 2,000(1.06)x
y = 2,000(0.06)x
y = 2,000(1.94)x
Answers
Answer:
y = 2,000(0.94)x
Step-by-step explanation:
f(x) = P (1 + r) ^x
P = 2000
r = -0.06
f(x) = 2000 (1 - 0.06)^x
= 2000 (0.94)^x
how to to right a*a*c*c using exponents
Answers
Answer:
[tex]a*a*c*c=a^2×c^2[/tex]
Step-by-step explanation:
Thanks!!!!!!!
2. Solve the system by graphing or using a table.
2x + 4y= 12
X+ y = 2
(-3,7)
(-2,4)
(-4,1)
infinitely many solutions
Answers
Answer:
x = -2 and y = 4
Step-by-step explanation:
We have given a system of equations
2x + 4y =12 ...........(1)
and
x + y = 2 .............(2)
Now to plot them in graph we need to find the points of the above linear equations .
From equation 1 ,we get
4y=12-2x
[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]
Put x=0, then
[tex]y=3-\frac{0}{2} =3\\[/tex]
Put x=6
[tex]y=3-\frac{6}{2}=3-3=0[/tex]
So get the points (0,3) and (6,0).
From equation 2 ,we get
y=2-x
put x=0
y=2-0=2
put x=2
y=2-2=0
So we get the points (0,2) and (2,0).
So after plotting these points we get two lines intersecting at (-2,4).
Therefore our solution is x=-2 and y= 4.
Calculate 0.35+4/5+37/100 leaving your answer as a decimal
Answers
Answer:
1.52
Step-by-step explanation:
You can convert all the numbers into a fraction to solve the expression.
4/5 is equal to 80/100, and 0.35 is equal to 35/100. (37/100 is left as it is.)
80/100 + 35/100 + 37/100 = 152/100.
When simplified and converted into a decimal, the answer is 1.52.
Warren runs races to support local charities. In April, he ran a 5-kilometer race in 30 minutes to support his local hospital. In October, he will run a 10-kilometer race to support the animal shelter. If he runs at the same rate, how many minutes will it take Warren to run the race in October?
Answers
Warren ran 10 km in 60 minutes or 1 hour.
What is proportionality?Proportionality is a case when two ratios are equal.
Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.
We need to find the time taken by him when he ran 10 km race.
Since, the rate of running is same, that means the speed was equal in both races,
Let t be the required time,
Therefore, using the concept of proportionality,
5 / 30 = 10 / t
5t = 300
t = 60
Therefore, he ran 10 km in 60 minutes or 1 hour.
Learn more about proportionality, click;
https://brainly.com/question/29126727
#SPJ2
HELP!! PLS for points
Answers
Answer:
the vertex form is y= -2(x-4)^2+8 (the third one)
write equation in slope intercept form(7,4) and (-5,-4)
Answers
m = change in y/ change in x
m = (4 - -4)/(7 - -5)
m = 8/2
m = 4
Find the y intercept by plugging in one coordinate for x and y, I will use (7,4) but it doesn’t matter:
y = mx + c
y = 4x + c
4 = 4(7) + c
4 = 28 + c
4 - 28 = c
c = -24
3. The equation of the line is y = 4x - 24
2. The bank requires a minimum balance of $50 in the
savings account. It does not matter how much money
is kept in the checking account.
If the customer deposits no money in the checking
account but is able to maintain both accounts without
penalty, what can you say about the amount deposited
in the savings account
Answers
The temperature at 9 p.m. was 12°F. The temperature dropped 15°F by 5 a.m.
The temperature at 5 a.m. was
Answers
Answer:
-3 F'
Step-by-step explanation:
12 - 15 = -3
Can someone help me please with 11?
Answers
Answer:
923993e9e9e9e9e9e9e9e9e9
4i4o4i
Step-by-step explanation:
4iririr83o3o3oe9eo3o3939
A Price of a sweater was reduced from $40 to $25. By what percentage was the price of the sweater reduced?
Answers
40 to 25 is 15.
4-10
8-20
12-30
16-40
Meaning 15 is more than 30 less than 40.
Then just do 15/4 is 3.75 so 37.5%
So it has been reduced by 37.5%