Suppose that the area of a square lawn is 4x^2 + 16x + 16. What is the length of one side of the lawn?
Answer:
2x+4
Step-by-step explanation:
remember the formula (a+b)^2=a^2+b^2+2ab
in this case, 4x^2 would be a^2, 16 would be b^2, and 16x would be 2ab
so, the variable a would be 2x and the variable b would be 4
so, you can turn 4x^2+16x+16 into (2x+4)^2
and since the area of a square is (one of its sides)^2, or in this case (2x+4)^2, the length of one side of the lawn will be 2x+4
problems where you have to use the (a+b)^2=a^2+b^2+2ab formula to turn trinomials into binomials squared are very common, so make sure to look out for questions like these and be ready to use this formula
One box of pencils has 500 pencils in it. Mike bought a box of pencils that has 3% more pencils in it. How many pencils were in the box that Mike bought?
Answer:
Mike's box of pencils contains 515 pencils.
Step-by-step explanation:
3% of 500 is 15. If we add that onto the original 500, we get 515.
I need help, I’ve been stuck on this question plz
Answer:
when distributing the first equation 1/4(8y+24) it is actually 2y+6 because 1/4*24= 6 not 8
Step-by-step explanation:
12. Triangle ABC is shown on the coordinate plane. If it is translated 4 units to the left and 3
units up, what are the coordinates of the vertices of the image?
A. A (1.1), B'(6,0), C (1.4)
B. A'(-1,1), B'(0,6), C (-4,-1)
C. A' (1.-1), B'(6,0). C'(-4,1)
D. A'(-1,-1), B'(0.6), C'(4-1)
Answer:
Sorry about that I didn't read the question correctly but the answer is B.
Step-by-step explanation:
All you are doing is moving the points 4 units to the left and 3 units up. Hope this helped! :)
Find the missing digit:
9._3 + 8.6 = 18.33
Answer:
7
Step-by-step explanation:
18.33 - 8.6 = 9.73
Answer:
7
Step-by-step explanation:
18.33-8.60=9.73
Please help me with this
Answer:
20²-(13²-5² )=y²
400-(169-25)=y²
400-144 =y²
256=y²
y=16
Step-by-step explanation:
In the diagram above is a 2 right angle triangles
the length of such diagrams is found using the pythagoras theorem.
in finding the length of the vertical by pythagoras gives..(13²-5²)^-2=12
10 times the difference of y and 5?
Answer:
10(y-5)
Hope this helped!!
20 points!!
Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.
(-2, 2)
(5, 3)
(-3, -1)
(3, 4)
pls i need this done soon :) !
Describe these points with a double inequality
Answer:
E
Step-by-step explanation:
so much words sis sossy
Answer:
Step-by-step explanation:
[tex]-3$<$ x\le 13[/tex]
Mr. Mann asked his class to form a number pattern using the rules:
Use the number 6 as the first term.
To find the other term, subtract 2 from the previous term, then multiply by 2.
The first two numbers in the pattern are 6 and 8.
What is the fourth number in the pattern?
Answer:
20
Step-by-step explanation:
when you subtract 2 from 6 you get 4. so you multiply 4 into 2 which give the answer 8. when you subtract 2 from 8 you get 6 and then you multiply 6 to 2 which gives the answer 12... next you subtract 2 from 12 which gives the answer 10. so you multiply 10 to 2 Which gives the final answer for you which is 20.
Mr. Mann asked his class to form a number pattern using the rules:
Use the number 6 as the first term.
To find the other term, subtract 2 from the previous term, then multiply by 2.
The first two numbers in the pattern are 6 and 8.
What is the fourth number in the pattern?
This is proportional, true or false? (Proportional means it has an equivalent ratio/constant rate of change/the same rate) (True=yes, it's proportional, false means it is not proportional) y = 12x
Answer:
Yes/True
Step-by-step explanation:
The given expression is :
y = 12 x
We know that, Proportional means it has an equivalent ratio / constant rate of change / the same rate.
Here,
y ∝ x
12 is the constant of proportionality
Hence, the given expression is proportional.
Nanette goes fishing. Of the fish Nanette catches, 2/3 are catfish. She catches 12 fish that are not catfish. Which equation and solution represent the total number of fish, x, Nanette catches?
Answer:
36 fishes
Step-by-step explanation:
Step 1
Nanette goes fishing. Of the fish Nanette catches, 2/3 are catfish.
Let the total fraction of fish = 1
The fraction of fish that is not catfish is
1 - 2/3
= 1/3
Step 2
She catches 12 fish that are not catfish.
Let the total number of catfish = x
Hence,
1/3 × x = 12
Equation is given as:
x/3 = 12
Cross Multiply
x = 3 × 12
x = 36 fishes
The the total number of fish, x that Nanette catches is 36 fishes
The LM = 3x - 2, LN = 2x + 1, and MN = 5x - 2.
Look at the number line.
+++
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5
Which absolute value expression represents the distance
shown on the number line?
OA) 12.5 + 5
OB) 12.5 - 5
OC) 12.50 – 151
OD) 12.5] + 151
pls help identify the scale factor
Answer:
the scale factor is 3 ......
A student solved the equation 2x+6=12 using algebra tiles. incorrectly says the solution is 9. Solve the equation. What mistake might the student have made? btw giving brainliest!
Round 88,855 to the nearest hundred.
Answer:
88,900
Step-by-step explanation:
:) hope this helps! give it a like!
Answer:
88,900
Step-by-step explanation:
you are rounding 88,855 to the nearest hundred so you really just need to look at the hundred's place
855 rounded to the nearest hundred is 900 (round your 8 to 9 since the tens place is a 5 or above)
If the circumference is 12 and height is 25. What’s is that area of the cylinder base? And what is the volume?
Answer:
452.389
Step-by-step explanation:
A bus entered the freeway and traveled at a constant speed of 80 mph. Two hours later a second bus followed the first bus, entering the freeway from the same point as the first bus, and traveled at a constant speed of 65 mph. How long will it take the second bus to catch up with the first bus?
Answer:
It will take about 15-20 Minutes to catch up to that bus.
Step-by-step explanation:
65+ 20= 85 so its a tad bit over but it works.
please answer : ) will give brainly go to last problem for it to make sense
Answer:
30%
Step-by-step explanation:
if 60% were thin mint and 10% were Samoas that is 70% of cookies. remaining 30% must be trefoils. hope this helps
Can someone plz help me on this I beg u
Answer: 131 cubic inches
=========================================
Work Shown:
Volume = length*width*height
Volume = 8.2*4.1*3.9
Volume = 131.118
Volume = 131 cubic inches
Jonah has a piece of string that is 70 inches long. He cuts the string into 6 equal pleces. How many Inches long is each piece of string?
Answer:
11.66666666
Step-by-step explanation:
70 divided by 6
Step-by-step explanation:
Each string length=70in÷6
= 11.666in
Write an equation that you can use to solve for x.
Enter your answer in the box.
Answer:x= 40
Step-by-step explanation:
x+80+60= 180 (angles on a straight line)
please help me
The lengths of a triangle are 50 m, 120 m, and 130 m. Which formula could be used to show that the triangle is a right triangle?
A. 502 + 1302 = 1202
B. 1202 + 502 1302
C. 1302 + 1202 = 502
D. 502 + 502 1202
Answer:
Step-by-step explanation:
1302 + 1202 = 502
Answer:
1302 + 1202 = 502
Step-by-step explanation:
Cant really explain. 1302 + 1202 = 502
Describe these points with a double inequality
Answer:
13>x≥3
Step-by-step explanation:
Kate has 10 stickers. One half of them are purple. How many of Kate’s stickers are purple?
Answer:
5
Step-by-step explanation:
Half of ten is five so Kate’s has five purple stickers
The dimensions of the top of a rectangular rag are (2x + 1) feet and (3x +4) feet. Which equation represents the area of the top of the rug, A, in square feet?
Answer:
A=2(2x+1)(3x+4
Step-by-step explanation:
help please i need help
Rewrite the expression in terms of ln 4 and ln 5.
ln(400)
According to Natural logarithm Rules, ln(400) is same as [tex]2( ln 4 + ln 5)[/tex].
What does natural log mean?A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x.Euler's Number, e, came before logarithms.One of the most significant mathematical constants, e, is an irrational number that is intimately connected to growth and pace of changeNatural logarithm Rules :
ln (mn) = ln m + ln nln (m/n) = ln m - ln nln [tex]m^{n}[/tex]= n ln mln a = (log a) / (log e)ln e = 1ln 1 = 0so we can rewrite the expression :
ln(400) = ln([tex]4^{2} . 5^{2}[/tex])= ln [tex]4^{2} + ln 5^2[/tex]= [tex]2( ln 4 + ln 5)[/tex]
To learn more about Natural logarithm refer,
https://brainly.com/question/12503598
#SPJ2
If f(x) = 5x – 2 and g(x) = x+1, find (f = g)(x).
OA. 5x - x-3
B. 5x2 +1
O C. 5x® - X-1
D. 5x4 - 2
Answer: Choice A) 5x^3 - x - 3
=================================================
Work Shown:
We subtract the two functions like so
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( 5x^3-2 ) - ( x+1 )
(f - g)(x) = 5x^3 - 2 - x - 1
(f - g)(x) = 5x^3 - x - 3 ..... choice A
Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.