Answers
Answer:
[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]
Step-by-step explanation:
Given equation = a² + 2ab + b² + a + b
Let's factorise,
We know that,
[tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
Substituting the above factor in given equation,
[tex] {a}^{2} + 2ab + {b}^{2} + a + b = {(a + b)}^{2} + a + b \\ Taking \: (a+b) \: common \: in \: RHS \\ {a}^{2} + 2ab + {b}^{2} + a + b = (a + b)(a + b + 1) \\[/tex]
[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]
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Related Questions
help pls......, 50 points
Answers
The correct answer would be- D: 1.601 x 10^9
Answer:
the answer is D: 1.601 x 10^9
Step-by-step explanation:
Over 5 days, Penelope practices the kazoo for 4 hours. She also plays video games every day. If she spent a total of 13 hours doing both, how many hours a day does she play video games?
A. 1.6 hours
B. 1.8 hours
C. 2 hours
D. 1.4 hours
Answers
Answer:
B : 1.8 hours a day.
Step-by-step explanation:
For 5 days she practices for 4 hours.
Subtract the 4 hours by the combined 13 hours.
Divide the remainding 9 hours of video game time by the 5 days.
The answers are not right and there not answering quickly there taking a long time to answer the question please what is the answer?
Answers
Step-by-step explanation:
the volume is 4/3 × pi × r^3
4/3 × 3 × 4^3
the volume is 256 cm cubed.
the radius is 4 cm.
Write your answer as a fraction or as a whole or mixed number.
27pts
Answers
What we know:
Bird feeder capacity: --> 2 4/5 cupsSamantha's scoop capacity: --> 7/10 cupsLets first convert the mixed partial fraction --> improper fraction
--> for easier calculation
After Conversion:
Bird feeder capacity: --> 14/5 cupsSamantha's scoop capacity: --> 7/10 cupsTo find how many scoops of birdseed will Samantha put into the feeder we must:
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
Solve:
[tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]
Thus the total number of scoops that Samantha will put into the bird feeder is 4
Answer: 4
Hope that helps!
Josh’s web site had 805,289 visitors Diego’s site had 1,000,000 visitors. How many more visitors did Diego’s site have that josh’s
Answers
Answer:
194,711
Step-by-step explanation:
1,000,000 - 805, 289 = 194,711
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answers
Answer:
33 ounces.
Step-by-step explanation:
There are 16 ounces in a pound, so multiply 33/4 by 16, which gives you 132 ounces. We can then divide this number by 4, 132/4, giving us 33 ounces of rice in each container.
what is the
answer 5/6=1/3+d
Answers
Answer:
d is equal to 3/6 or 1/2
Step-by-step explanation:
to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2
Will give Brainiest!
Find the ordered pair (s,t) that satisfies the system
s/2+5t=3
3t+6s=9
Answers
Write an equation in slope intercept form for the line with slope 3/2 and y intercept -8
Answers
Answer:
[tex]y=\frac{3}{2}x-8[/tex]
Step-by-step explanation:
We can use the definition of slope-intercept form to answer this:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
So all we do is stick in the numbers and we get:
[tex]y=\frac{3}{2}x - 8[/tex]
There's a picture with all the info
Answers
Answer:
3 un wer
8 lnter
12 jin
Step-by-step explanation:
of the corret anwer
Look at the map showing the Austria-Hungarian Empire in about 1900.
Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.
What information does the map provide about the Austria-Hungarian Empire?
Answers
Answer:
Austria-Hungary was home to many different ethnic groups.
Step-by-step explanation:
hope it helps ;))
what is 13 x 350?
My calculator does not work
Answers
The Science Club is researching boiling points. They learn that at high altitudes, water boils
at lower temperatures. At sea level, water boils at 212°F. With each increase of 500 feet in
elevation, the boiling point of water is lowered by about 1°F.
a. 212– 1/500 e < 195
b. 1/500 e - 195 < 212
c. 195 - 212e < 1/500
d. 212 – 195e<1/ 500
Answers
The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)
Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.
The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.
Learn more about inequalities at:
https://brainly.com/question/24372553
Donnie ran 6.24 kilometers in a race last weekend. How many meters did he run?
Answers
he ran 10meters last weekend
A cylindrical tank holds about 615.44
cubic inches of helium. The radius of the tank
is 3 1/2 (3 and one half)inches. What is the height of the tank?
Use 3.14 for Pi. (Please give explanation/show work)
Answers
Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is [tex]V=\pi r^2h[/tex]. In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]
2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]
3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
Answers
#a
Perimeter=Sum of sides
400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m#b
Area:-
1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²Answer:
Perimeter = 1436.3 m (nearest tenth)
Area = 94641.0 m² (nearest tenth)
Step-by-step explanation:
The perimeter is the sum of the lengths of all the sides.
[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]
At a local bodega, the cost of a bottle of juice at the corner store is
$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y
Answers
Answer:
$12.80
Step-by-step explanation:
The cost to get 8 bottles of juice and 4 bags of chips will be:
= 8($.105) + 4($1.10)
= $8.40 + $4.40
= $12.80
The cost for x bottles of juice and y bags of chips will be:
= (1.05 × x) + (1.10 × y)
= 1.05x + 1.10y
please find the area
Answers
18 inch²
Step-by-step explanation:
The same formula of triangle
1/2(12×6)
18 inch²
Ms. Brown will randomly choose a student in Justin's class to erase the board. There are 26 students in the class. What is the probability that Ms. Brown will choose Justin to erase the board two days in a row?
Answers
Answer:
2 out of 24
Step-by-step explanation:
Two days, meaning each day there will be a chance that Justin is chosen to take away that chance for one of his fellow classmates.
Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets watered by the sprinkler is (x−9)2 (y 11)2=16. what is the diameter, in meters, of the circular area that gets watered by the sprinkler? 4 m 8 m 16 m 32 m
Answers
The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
What is the equation of the circle of radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
For this case, the equation of the circle that models tha circular area considered is:
[tex](x-9)^2 + (y+11)^2=16[/tex]
Writing this in standard form and comparing it with the standard equation, we get:
[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).
Thus, we get center's coordinate as (9,-11) and radius of 4
The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.
Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
Learn more about equation of a circle here:
https://brainly.com/question/10165274
FREE BRAINLIEST - EZ QUESTION: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).
Answers
Answer:
y = -4(x +2)² + 7
formula for parabola: y = a(x-h)² + k
Where (h, k) denotes the vertex
vertex: (-2, 7) point: (-1, 3)First find a:
3 = a(-1-(-2))² + 7a + 7 = 3a = -4Thus equation:
y = -4(x-(-2))² + 7y = -4(x +2)² + 7Answer:
y = -4x^2 - 16x - 9.
Step-by-step explanation:
The vertex form is:
y = a(x - b)^2 + c where a is a constant, and (b, c) is the vertex
So we have
y = a(x + 2)^2 + 7
When x = -1, y = 3 so:
3 = a(-1 + 2)^2 + 7
3 = a + 7
a = -4.
So the equation is
y = -4(x + 2)^2 + 7
y = -4x^2 - 16x -16 + 7
y = -4x^2 - 16x - 9.
1. 17 + × = 56
2. × - 11 = 23
and for 1 the answer is not 39
Answers
Answer:
2. x = 34 and 1. x = 39
Step-by-step explanation:
1. 39 is the right answer because x = 56 - 17 equals 39 which means you have to subtract.
Need help with angle solving
Answers
Step-by-step explanation:
corresponding angles (CA)
Alternative interior angles (AIA)
co interior angles (CIA)
question 1 angles =5 + 3 = 180 ( CIA)
83⁰ + 3 = 180
angle 3 = 180 - 83⁰
angle 3 = 97
angle 8 = angle 3.... CA
angle 8 = angle 16 ....CA
ANGLE 16 = ANGLE 12.....CA
angle 5 = angle 13 ....CA
ANGLE 3 = Angle 6......AIA
ANGLE 5 = ANGLE 4.......AIA
ANGLE 4 = ANGLE 7......CA
ANGLE 6 = ANGLE 1......CA
ANGLE 13 = ANGLE 9......CA
ANGLE 12 = ANGLE 14.....AIA
ANGLE 13 = ANGLE 11.....AIA
ANGLE 14 = ANGLE 10.......CA
ANGLE 11 = ANGLE 15
NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....
QUESTION 2 :
ANGLE 1 = ANGLE 7 .......AIA
2X + 40 = 6X - 20
40 + 20 = 6X - 2X
60 = 4X
60/4 = X
15⁰ = X
SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70⁰
AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70⁰
ANGLE 7 = ANGLE 3 ......CA
ANGLE 3 = ANGLE 5 .....AIA
ANGLE 3 + ANGLE 6 = 180 .....CIA
70 + ANGLE 6 = 180⁰
ANGLE 6 = 180 - 70⁰ = 110⁰
angle 2 = Angle 6
ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE
ANGLE 8 = ANGLE 4
NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....
Did I really jst got 15 points for this (ノ｀Д´)ノ彡
HEHEEE JK:)
expressions equivalent to 2(1.5+2.5)-4
Answers
Answer:
I believe that the answer is 4
Can anybody help with Simple interests
Answers
Answer:
1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19
Step-by-step explanation:
1.) You need to know the exponential growth and decay formula.
The formula: y=ab^x
**For no.1**
Your initial amount is 300 which is the a
You need to do 100%+8% which is 108%
-This needs to be in decimal form: 1.08
4 years is the number of times the interests shall go up
Now do the equation:
y=300(1.08)^4 --> Multiply everything but do exponents first!!
y= $408.146688
$408.15 - This is the answer for no.1 it shall be rounded
**For no.2**
Same thing as last:
y=1500(1.75)^3
y= $8,039.0625
$8,039.06
**For no.3**
y=900(1.12)^60
y= 807,837.24
This had to be approximate
**For no.4**
y=820(1.06)^6
y= 1,163.1856
$1,163.19
I also need help with this
Answers
Answer:
9
Step-by-step explanation:
Lowest chart value = 0
Highest chart value = 9
Range: highest chart value - lowest chart value
Range: 9 - 0
Range: 9
Hope this helps!
Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)
Answers
Answer:
Step-by-step explanation:
The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
The trapezoids have a height of 2 inches and bases that measure 2 inches and 3 inches.
The rhombuses have diagonals that measure 1 inch and 4 inches.
Answers
The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
How to find the area of a trapezoid and rhombus?The given pattern consists of rhombus and trapezoids
The formula for calculating the area of rhombus is expressed as:
A = pq/2
Area of trapezoid = 0.5(a+b)h
Given the following
height = 2in
a = 2in
b = 3in
Ara of rhombus = 1(4)/2 = 2 square inches
Area of the trapezoid = 0.5(2+3) * 2
Area of the trapezoid = 5 square inches
Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
Learn more on area of rhombus and trapezoid here: https://brainly.com/question/2456096
What is the slope of the line that contains these points?
2
13
14
15
16
y
11
6 1 -4
slope:
Answers
Answer:
-5
Step-by-step explanation:
formula of slope is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
y2 is the second y value
y1 is the first y value so you get
[tex] \frac{6 - 11}{14 - 13} [/tex]
that leaves you with -5 /1 which can be written as -5
-5
Step-by-step explanation:The slope is rise over run. In other words, it is the change in y divided by the change in x.
Slope Formula
The formula for slope is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]. This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.
Final Slope
The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Answers
(4 + 10i -10i -25) (i)
(4 - 25) (i)
-21i