Answer:
Step-by-step explanation:
4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²
{Compare with a² + 2ab + b² = (a+ b)²}
= (2x + 5)²
= (2x +5)*(2x+5)
Side of the square = 2x+ 5
Answer:
Part A is (2x+5)^2. Part B is (2x+3y)(2x-3y).
Step-by-step explanation:
Part A: The polynomial is prime. When you split the middle term, it becomes 4x^2+10x+10x+25. Then rewrite using the common factor from the two pairs. 2x(2x+5)+5(2x+5). Rewrite in factored form, which is (2x+5)(2x+5). Then combine which is, (2x+5)^2. The length of each side is (2x+5)^2.
Part B: The polynomial is prime. Rewrite 4x^2 as (2x)^2 and 9y^2 as (3y)^2, which looks like (2x)^2-(3y)^2. Both terms are perfect squares. The answer is (2x+3y)(2x-3y).
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a linear model that represents the growth of the tree. How long does it take for the tree to reach its maximum height of 28 feet?
The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?
Answer:
36
Step-by-step explanation:
(1/3)x - (1/4)x = 3
multiply by 12 to clear the fraction
4x - 3x = 36
x = 36
What is the slope of the line that passes through the points (2, −3.5) and (4, 5.5)?
A.9/2
B.1/3
C.2/9
Answer: the answer is c) hope this helps
Step-by-step explanation: please give brainliest
Answer:
A. 9/2
Step-by-step explanation:
Use formula m=([tex]y_{2} \\[/tex] -[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])
(5.5-(-3.5))/ (4-2)
[tex]\frac{9}{2}[/tex]
proves that the sum of
5 consecutive natural numbers is divisible by 5
Answer:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation:
Answer:
Natural numbers are simply positive integers. For now, refer to the middle number (the third number), as x. Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2. Simply add all these numbers to get 5x, a number that is divisible by 5. As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.
Hope it helps :) and let me know if you want me to elaborate.
What's the answer ??
Answer:if one part is bigger than the other then its bigger
this should help
Answer:
(8 × 3) + (8×2)
Step-by-step explanation:
I basically just have to find the angles but I also want to understand so if you could explain?
9514 1404 393
Answer:
c = 108°
d = 106°
Step-by-step explanation:
There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.
angles forming a linear pair are supplementary (total 180°)interior angles of a triangle total 180°The derived relations we can use in this problem are ...
vertical angles are congruentan exterior angle of a triangle is equal to the sum of the opposite interior angles__
cThe vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...
c = 78° +30* = 108°
__
dAngles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:
d + 30° +44° = 180°
d = 180° -74° = 106°
WHAT IS THIS. draw the line x=2 on the grid. please help
Answer The picture shows you where to place your line
Step-by-step explanation:
Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for
Answer:
20
Step-by-step explanation:
15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.
can someone help me please
Answer:
#5) Its line “k”
Well to solve this you need to know what negative slopes are.
They decrease from height from left to right
And also a slope is always calculated like this
rise -> run
Think of it like a bed.
You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.
Rise is going vertical and run is going horizontal.
So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).
#6) 1/2 is the slope of line N. Or (c)
Well n is a potsive slope so we can automatically remove a and b.
And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)
Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]
2.
[tex]2x+5x^{2} -99[/tex]
3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]
4.
[tex]15x+4x^{-2}[/tex]
5.
[tex]-3x^{4} +7x+12x^{2}[/tex]
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
Solve pls brainliest
Explain
Answer:
A. -10
B. 147
Step-by-step explanation:
-90 ÷ 9 = -10
7 · 21 = 147
Hope this helps!
5trig review please help me
Answer:
Is A
Step-by-step explanation:
Answer:
4).3√42ft
5).√3 yd
.....................
i= $100.10
p= $1100
r= 10.0%
t= ? years
Step-by-step explanation:
1 year
thabkyou for brainly
Given: F(x)= 2x - 1; G(x)= 3x + 2; H(x)= x^2
Find F(x) + G(x) + H(x)
Answer:
4
Step-by-step explanation:
Answer: 6x^2+1
(very sorry if this is wrong lol)
Step-by-step explanation:
Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.
Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1
Divide. Give the quotient and remainder. 47 ÷ 5
Answer:
9 Remainder 2 which is also 9.4
Step-by-step explanation:
The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.
Brainliest maybe? I need one more and I level up in rankings.
Answer:
9 remainder 2.
Step-by-step explanation:
5 * 9 = 45
47 - 45 = 2.
PLS HELP QUESTION 8 ASAP ILL GIVE BRAINLIEST
Answer:
Ryan sold 12 cell phones
Step-by-step explanation:
2000+15x12
which expession represents the product of 3 and 7
3 × 7
i took the test
which pair of terms are not like terms?
A. 4a and 7a
B. 3p^2q and -p^2q
C. 2mn and mn^2
D. -x and 3x
Answer:
C.
Step-by-step explanation:
Like terms must have exactly the same variables and exactly the same exponents.
In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.
Answer: C.
Guven O centre of the circle, find x
I just want to check my answers. my answer is x= 24.5⁰
If it is wrong is tell me in the comments.
and if you know the right answer, please answer the question with full explanations.
thanks.
Answer:
x= 21 is correct answer because x and 21° are opposite angles and opposite angles are congruent
Answer:
21 degrees
Step-by-step explanation:
Angle subtended by the arc is half the angle at the centre of the circle(98 degrees).
The corporate team-building event will cost $16 if it has 4 attendees. If there are
5 attendees, how much will the corporate team-building event cost? Solve using
unit rates.
Answer: $20
Step-by-step explanation:
We will assume that there is a per-person cost:
$16/4 attendees = $4/attendee
($4/attendee)*5 attendees = $20
Giúp mình giải với mọi người. Cẩm ơn rất nhiều
Answer:
B. 4√5
Step-by-step explanation:
x bằng căn bậc hai của (8^2 + 4^2) theo định lý pytago, trong tam giác vuôn, c^2 = a^2 + b^2
Lucy spent $3.19 on a sparkly headband and $2.67 on a shiny bracelet. How much more did Lucy spend on the sparkly headband?
Answer:
$0.52
Step-by-step explanation:
3.19 (headband) - 2.67 (bracelet) = 0.52
Please explained that answer!
Answer:
f(x)= -1/2x+1
Step-by-step explanation:
The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.
help me pls tell methe answer
x/3
Hope this helped uou, have a good day bro cya)
help me pls help please???
Answer:
3 – x
Step-by-step explanation:
A number in this case we will as x. And 3 less than x is -
3 – x
x - 3
Hope i helped ya!
Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?
Answer:
He worked 1.5 hours
Step-by-step explanation:
58-28= 30
30/20 per hour
1.5
50 POINTS PLZ HELP What is the common denominator (LCD) of 6 5/7 and 6 1/3?
Answer:
21Step-by-step explanation:
Denominators of the fractions are 7 and 3, which are mutually prime numbers.
The LCD is the product of 7 and 3:
7*3 = 21Simplify into mixed fraction
[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]
[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]
Find LCD
[tex]\\ \sf\longmapsto 7(3)[/tex]
[tex]\\ \sf\longmapsto 21[/tex]
list the side of the triangle in order from shortest to longest.
Answer:
shortest to longest -
B-77
A-59
C-44
Step-by-step explanation:
To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.
I HOPE THIS IS CORRECT!! SORRY IF NOT!!
Write the expression as a power and evaluate it. 8*2^7
Answer:
1024
Step-by-step explanation:
The expression can be written as [tex]8 * 2^7[/tex]
What is power?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Example: The standard form of the polynomial 5 + 2x + x² is expressed.
We shall first determine the polynomial's degree before expressing it in standard form.
The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.
Given:
8*2^7
The above expression can be written as
[tex]=8 * 2^7[/tex]
= 8 x 128
= 1024.
Hence, the expression can be written as [tex]8 * 2^7[/tex]
Learn more about power here:
https://brainly.com/question/2289248
#SPJ2
helpppppppppppppppppppp
Answer:
2nd option
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c
• If a > 0 then minimum vertex
• If a < 0 then maximum vertex
Here a = - 1 < 0 then maximum
The maximum value is the value of the y- coordinate of the vertex
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
Here a = - 1 and b = 3 , then
x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]
Substitute this value into the equation for corresponding y- value
y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]
Then maximum value of [tex]\frac{5}{4}[/tex]
