Answers
Answer:
( 5x + 7 ) ²
Step-by-step explanation:
25 x ² + 70 x + 49
Identity Used
(a + b) ² = a ² + 2 ab + b ²= 25 x ² + 35 x + 35 x + 49
= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)
= ( 5x + 7 )
More to know about Algebraic Identities :-
➛ (a + b)² = a² + 2ab + b²➛ (a - b)² = a² - 2ab + b²➛ a² - b² = (a +b) (a-b)➛ (x + a) (x + b) = x² + (a + b) x + ab➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac➛ (a + b)³ = a³ + b³ + 3ab (a + b)➛ (a - b)³ = a³ - b³ - 3ab (a + b)➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)Answer:
(5x + 7)2.
The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.
Thus, it can be factored as a perfect square trinomial.
Related Questions
a date has its distribution shown in the box plot below. which of the following is the median of the data set
(1)28
(2)30
(3)32
(4)34
Answers
Answer:
jhjgjhgh bk 87 n k
Step-by-step explanation:
Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola
bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?
Answers
Answer:
Sebastian spent $40.40 at the gas station.
Step-by-step explanation:
First let's find how much the gas cost.
So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.
10 * 2.91 = $29.10
Then we add on the $11.40 from the granola bars and the box of tissues.
$29.10 + $11.40 = $40.50
So the final price should be $40.40. Sebastian spent $40.40 at the gas station.
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
Answers
Answer:
Number of books she has not read =8
Step-by-step explanation:
Number of books Tara has=160
Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152
Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8
Can someone please help me
Answers
Answer:
the value of x + y is 250
Step-by-step explanation:
I hope it helps u
Bob works as a carpenter and needs to buy some tools for
work. A framing hammer costs $22. A 4-foot level costs
$18. A carpenter's square costs $7. What are Bob's total
expenses for these tools?
Answers
On a coordinate plane, 4 lines are shown. Line L M goes through (negative 5, negative 3) and (0, 3). Line N O goes through (negative 6, negative 5) and (0, 0). Line J K goes through (negative 6, 1) and (0, negative 4). Line P Q goes through (negative 5, 4) and (0, negative 2).
Which line is perpendicular to a line that has a slope of Negative five-sixths?
Answers
Answer:
The slope of line LM is perpendicular to the given line.
Step-by-step explanation:
L (- 5, - 3), M (0, 3)
N (- 6, - 5) , O (0, 0)
J (- 6, 1) , K (0, - 4)
Slope of given line = -5/6
Slope of perpendicular line = 6/5
Slope of line LM
[tex]\frac{3 + 3}{0 + 5}=\frac{6}{5}[/tex]
Slope of line NO
[tex]\frac{0+5}{0+6}=\frac{5}{6}[/tex]
Slope of line JK
[tex]\frac{-4-1}{0+6}=\frac{-5}{6}[/tex]
Answer: LM is the correct answer
Step-by-step explanation: Just took the test
PLEASE HELP ATTACHED BELOW
Answers
Answer:
[tex]Area~of~quarter:-[/tex]
[tex]\frac{\pi r^2}{4}[/tex][tex]=\frac{\pi *8*8}{4}[/tex]
[tex]=16\pi[/tex]
--------------------hope it helps...have a great day!!Question and choices are in the photo please explain the answer
Answers
Answer:
D.
Step-by-step explanation:
See attached photo.
1. Find the value of x to the nearest tenth
A. 19.2
B. 20.8
C. 21.3
D. 19.7
Answers
Answer:
20.8
Step-by-step explanation:
Use the Pythagoras's Theorem
12²-36²=[tex]\frac{x}{2}[/tex]²
144-36=[tex]\frac{x}{2}[/tex]²
108=[tex]\frac{x}{2}[/tex]²
Root both sides
√108=√[tex]\frac{x}{2}[/tex]²
[tex]\frac{x}{2}[/tex]≈10.4
[tex]\frac{x}{2}[/tex]·2=10.4·2
x=20.8
The length of a box is 6 inches, the width is 4 inches and the height is 2/8 inches. What is the volume of the box?
Answers
Answer:
6 cubic inches
Step-by-step explanation:
To find the volume of a box you do Length * Width * Height
So we can do:
6*4*2/8
=24*2/8
=6
The volume of the box is 6 cubic inches
The summation symbol, is the Greek capital symbol and it is used like the English S. Why do you think it was chosen to represent a Sigma Notation?
Answers
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Answer:
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.
During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.
Step-by-step explanation:
its correct on EDGE2021
Can someone help me with this. Will mark brainliest. Thank you.
Answers
Answers:
circlecenterradiuschorddiametersecant=======================================
Explanations:
Consider a campfire and people surrounding it to warm up. The fire itself is the center of the circle, and the people around it are points on the circle's edge. Assume that each person is the same distance away from the fire. Refer to the diagram below.We always refer to the circle name by the center point. Think of it being like at the center of the universe, or you could think how the sun is at the center of the solar system. While technically the planets orbit in ellipses and not perfect circles, this idea still could be useful to help remember the naming convention. If we go back to the example in part 1, the radius is the distance from the campfire to any given person. The radius is half the diameter. This is not to be confused with the spelling "cord" which refers to wiring used in electronics, or in fabric fibers. If we connected any two campers with a segment, then we formed a chord. Refer back to part 1 above. Any diameter is a chord, but not the other way around.The diameter is a special type of chord that goes through the center. Note the endpoints of the diameter are on the circle's edge. A secant line is basically a chord but we've extended both endpoints off infinitely in both directions. A secant cuts the circle at 2 different points. In contrast, a tangent line touches the circle at exactly one point only.0.25 , 0.5 , 0.375 , 2.5 , 0.125 in asending order ..
Answers
Tina's family buys 4 cheeseburgers and 3 orders of fries for $7.25. Louise's family buys 6 cheeseburgers and 3 orders of fries for $9.75. What is the total cost of 1 cheeseburger and 1 order of fries?
Answers
Answer:
cheeseburgers cost= $1.25 and
Fries cost = $0.75
Step-by-step explanation:
Given data
let cheeseburgers be x
and fries be y
4x+3y= 7.25--------------1
6x+3y= 9.75--------------2
Subtract the equations
4x+3y= 7.25--------------1
6x+3y= 9.75--------------2
-2x+0= -2.5
2x=2.5
x=2.5/1.5
x= 1.25
Put x= 1.25 in 1
4x+3y= 7.25--------------1
4(1.25)+3y= 7.25--------------1
5+3y= 7.25
3y=7.25-5
3y=2.25
y= 2.25/3
y= 0.75
Hence cheeseburgers cost= $1.25 and
Fries cost = $0.75
what is the exponential form for 7^√x^3
Answers
(√7)3=732
Explanation:
To write
(√7)3
in exponential form, one needs two identities - n√a=a1n
and (am)n=a(m×n)
which is true for all rational
m and n.
Hence,
(√7)3= (712)3
= 7(12×3)
= 732
A house was valued at $540,000 last year. The house has now appreciated and increased in
value by 4%. What is the house worth now?
Answers
Answer:
The house worth now: $540,000*(1+4%)= $561,600
Step-by-step explanation:
what is b
−2.9+ b/0.1 = − 39.9
Answers
Answer:
b = - 1.09
Step-by-step explanation:
- 2.9 + b ÷ 0.1 = - 39.9
- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1
- 2.9 + b = - 3.99
- 2.9 + 2.9 + b = - 3.99 + 2.9
b = - 1.09
Answer:
Exact form
b=-37/10
Decimal form
b=-3.7
Mixed Number form
b+-3 7/10
Step-by-step explanation:
-2.9+b/1/10+-39.9
-2.9+10b+-39.9
10b=-39.9+2.9
10b=-37
b=-37/10
HURRRYYYY I NEED AND ANSWER ***
What percentage of the data values falls between the values of 3 and 24 in the data set shown?
0
5
10
15
20
25
25%
050%
оооо
75%
О 100%
Answers
Answer:
I think that's 25 though I have no assurance
Diego has a standard 52 card playing deck, which includes
13 heart cards, 13 spade cards, 13 diamond cards, and 13
club cards. If he draws one card at random, what is the
probability that the card will be a heart?
Answers
Answer:
13/52
Step-by-step explanation:
Tell whether the triangle with the given side lengths is a right triangle. 36, 77, 85, true or false
Answers
Answer:
True the triangle is a right triangle.
Step-by-step explanation:
the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]
so,
[tex]85^{2} =7225\\77^{2} =5929\\36^{2} =1296\\5929+1296=7225[/tex]
Ron invested $700 for 9 years at 3.4% compounded semi-annually. How many compounding periods are there over the term of the investment?
Answers
Answer:
financial equations use the formula
[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]
where
A is accrued amount
P = principal
r= interest rate
t = number of periods (NOTE: NOT NUMBER OF YEARS !!!)
r = interest rate (NOTE: APR the whole years interest NOT the period)
So in your question the compounding is being done "Semi-annually:
NOTE:
Annual = 1
semi-annual = 2
Quarterly = 4
monthly = 12
So your number of periods is ..... number of years (9) times the number of periods in a year (2 - for semi-annual)
9 * 2 = 18 there are 18 periods
[tex]A=P (1 + \frac{.034}2)} ^{18}[/tex]
Step-by-step explanation:
•Sequences and functions
( 10 points )
Please help me loves with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Answers
when it comes to geometric progression the common ratio (r) must be the same.
to find r, use this formula :
r = T2/T1
= 12/72 = 1/6
= 2/12 = 1/6
100 POINTS!!! Please tell me how to do this I dont understand...
Answers
Answer:
[tex] \displaystyle x = 15[/tex]
Step-by-step explanation:
by triangle midsegment theorem we obtain:
[tex] \displaystyle \frac{10x + 44}{2} = 8x - 23[/tex]
simplify division:
[tex] \displaystyle 5x + 22 = 8x - 23[/tex]
move 5x to right hand side and -23 to the left hand side and change its sign:
[tex] \displaystyle 22 + 23= 8x - 5x[/tex]
simplify addition:
[tex] \displaystyle 8x - 5x = 45[/tex]
collect like terms:
[tex] \displaystyle 3x = 45[/tex]
divide both sides by 3:
[tex] \displaystyle x = 15[/tex]
and we are done!
The options are 135 feet, 45 feet, 25 feet, and 110 feet
Answers
Answer:45 feet
Step-by-step explanation:I believe this answer makes the most sense
é. 45 feet
Step-by-step explanation:
byeeeeeeeeeeeeee
HELPPP PLS!! WILL MARK BRAINLIEST!! #plato
Drag each tile to the correct box.
Arrange the entries of matrix A in increasing order of their cofactor values.
Answers
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation: I got it right on Edumentum.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation:
The width of Field A is 7/12 of its length of 108 m. What is the perimeter of Field B if it has 5/6 of the perimeter of Field A?
Answers
Answer: (100th answer)
perimeter of field b = 260 m
Step-by-step explanation:
First we have to find what is 7/12 of 108?
Well first we need to know what 1/12 of 108 is. Which means we do 108/12. That equals 9. so if 1/12 of 108 = 9
then 7/12 of 108 is 9*7 which is 63.
The width of field A is 63 plus its length, width again and its length again would be its perimeter or
2l + 2w is its perimeter, where l is length and w is width
108*2+63*2= perimeter
216+126 = ?
342 is the perimeter of field A.
We aren't done though.
We have to find 5/6 of 342.
1/6 of 342 is 342/6
342/6 = 52
1/6 of 342 = 52 meaning 5/6 of 342 is equal to 5*52.
5*52 = 260
the perimeter of field b is 260
x y
-2 -5
-1 -2
0 1
1 4
2 7
Which equation could represent the data in the table?
y = 3x + 1
y = -3x + 1
y = -3x - 1
y = x - 3
Answers
Answer:
y+3x+1
Step-by-step explanation:
help guys pls i beg u cannot do the math this so hard someone help ☺️☺️☺️☺️☺️☺️☺️☺️
Answers
200 because that’s what she needs to equal. Then multiple 13.5 by V because you are accounting for how many times she visits and how many points she will get per visit. Then you add 65 because she already has that amount from signing up.
V >= 10
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
Answers
It is 34.90
Step-by-step explanation:
Your welcome!
The values a,b and c.
Answers
Answer:
a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Step-by-step explanation:
Given
x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c
with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4