check whether x² +4x +4 is prefect spuare expression or not . if so factorise the expression
Answer:
It is a perfect square expression.
It factors to (x+2)^2
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Explanation:
The general format for a perfect square is
(a+b)^2 = a^2 + 2ab + b^2
Which can be seen through the use of the FOIL rule.
Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:
x^2 = a^2 .... first terms4x = 2ab .... middle terms4 = b^2 .... last termsSince x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.
Because a = x and b = 2, we then can say:
(a+b)^2 = a^2 + 2ab + b^2
(x+2)^2 = x^2 + 2*x*2 + 2^2
(x+2)^2 = x^2 + 4x + 4
Showing that x^2+4x+4 factors to (x+2)^2.
Sam has 31 quarters and dimes. The value is $6.85
. How many dimes are there ?
Find the volume of each figure. PLZZZ I NEED HELP ASAP!!!!!! :/
What is the image of (12, 4) after a dilation by a scale factor of 1
centered at the origin?
Find the slope of the line that passes through each of the following pairs of points:
(-1,4) and (3,-8)
Answer:
-12/4
Step-by-step explanation:
Use the slope formula
y2-y1. -8-4
---------- ______ = -12/4
x2-x1. 3-(-1)
F is directly proportional to a.
If F = 28 when a = 7 find,
F when a = 10
Answer:
Step-by-step explanation:
a=10
Step-by-step explanation:
The question can be interpreted as
F∝a
If we introduce proportionality constant k, we have
F= k.a
28= k. 7
k= 28/7
k= 4
Then the equation can be written as
F= 4.a
To find, a when F = 40?
F= 4.a
40=4 × a
a= 40/4
a= 10
Answer:
F = 40
Step-by-step explanation:
Given F is directly proportional to a then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 28 when a = 7 , then
28 = 7k ( divide both sides by 7 )
4 = k
F = 4a ← equation of proportion
When a = 10, then
F = 4 × 10 = 40
Which graph represents the solution for the equation 3x + 2 = 5x?
**+
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
7 seconds
Step-by-step explanation:
Hello There!
I had created a graph to make it easier to understand
So when y = 0 is when the ball is at the ground
when y = 0 x = 7 so it took about 7 seconds for the ball to hit the ground
Answer:
7
Step-by-step explanation:
find the value of 3x+2 when x=5
Answer:
17
Step-by-step explanation:
Dilate D(7,4) by a scale factor of k = 3
Answer: (21,12)
Step-by-step explanation:
factor the trinomial
2x^2+10x+8
Answer:
x^2 + 5x + 4
Step-by-step explanation:
divide everything by 2
Answer:
2(x+4)(x+1)
Step-by-step explanation:
2x^2+10x+8
1. Take out the greatest common factor. Divide by 2
2(x^2+5x+4)
3. Replace 5x with 1x+4x
2(x^2+1x+4x+4)
4. Spilt the equation in half and factor.
2(x^2+1x) = 2(x(x+1) and 4x+4 = 4(x+1)
5. Combine the new terms
2(x+4)(x+1)
928 plates in 116 stacks how many per plate ?
Answer:
8 plates per stack
Step-by-step explanation:
Answer:
8 plates per stack
Step-by-step explanation:
if wrong I am so sorry
I WILL GIVE BRAINLIST NEED HELP ASAP
Jeff stacked 4 identical
solid blocks, each with the dimensions shown below.
What is the volume of the stack of blocks Jeff made?
A
72 cubic inches
B
120 cubic inches
C
288 cubic inches
Answer:
288 Inches^3
Step-by-step explanation:
1 Box:-
V=L*W*H, V=6*4*3, V=72 inches^3
4 Box:-
1 Box=72, 72*4=288 inches^3
*I am not 100% sure if this is accurate or not.*
Answer:
The answer is C witch is 288 cubic inches
Step-by-step explanation:
if you muliply all the sides times 4 you would get 288
3x6x4x4=288
look at the photo to answer
17 POINTS!!!
find the area of the minor sector
1 r=9cm,tita=70
Answer:
The area is 49.5 cm^2
Step-by-step explanation:
To find the area of the sector, we are going to use the formula for the area of a sector
Mathematically, we have this as;
A = theta/360 * pi * r^2
r = 9 cm and theta = 70
Substituting these values
A = 70/360 * 3.142 * 9^2
A = 49.5 cm^2
Write a quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2
Please I really need your help for this
Let's write -9 where we see A:
-9x² + bx + c = 0Let's write 0 where we see B:
-9x² + 0.x + c = 0(Since B = 0, when it is multiplied by x, it becomes 0 again)
-9x² + c = 0Let's write -2 where we see C:
-9x² + -2 = 0Now we can move on to solving our equation:)
Let's put the known and the unknown on different sides:
(-2 goes to the opposite side positively)
-9x² = 2(it goes as a division because it is in the case of multiplying -9 across)
x² = 2/-9
I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.
Please do not report:(
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXThe quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2
We have to write a quadratic equation as,
Any equation of the form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
ax² + bx + c = 0
-9x² + 0x + (-2) = 0
-9x² + -2 = 0
-9x² + -2 = 0
Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ6
The solution of 2x-4=20 is
Answer:
12
Step-by-step explanation:
2*12-4=20
Answer:
x = 12
Step-by-step explanation:
2x - 4 = 20
2x = 20 + 4
2x = 24
x = 24/2
x = 12
Laura goes to a Mexican restaurant for lunch she's planning to order either a chicken or beef dish if there are a choices for chicken and 12 choice es for beef how many options does Laura have to choose from
A. 4
B. 8
C. 12
D. 20
Someone :) is there anyone know what is the answer?
Answer:
answers are below
Step-by-step explanation:
a. -6 ≤ 3x < 15
steps in order to solve:
-6 ≤ 3x
= -6/3 ≤ 3x/3
= -2 ≤ x
3x < 15
= 3x/3 < 15/3
= x < 5
=> -2 ≤ x < 5
b. -3 < 2x - 1 < 7
steps in order to solve:
-3 < 2x - 1
= 1 - 3 < 2x - 1 + 1
= -2 < 2x
= -2/2 < 2x / 2
= -1 < x
2x - 1 < 7
= 2x - 1 + 1 < 7 + 1
= 2x < 8
= 2x/2 < 8/2
= x < 4
=> -1 < x < 4
c. 7 < -3n + 1 ≤ 13
steps in order to solve:
7 < -3n + 1
= -1 +7 < -3n + 1 - 1
= 6 < -3n
= 6/-3 < -3n/-3
= -2 > n
-3n + 1 ≤ 13
= -3n + 1 - 1 ≤ 13 -1
= -3n < 12
= -3n/-3 < 12/-3
= n > -4
=> -4 < n < -2
graphs are below.
hope this helps and is right :)
-5(-2x + 5) - 5 < - 6 - 4x
What's the answer, with the explanation.
Answer:
x <12/7
Step-by-step explanation:
10x-25-5<-6-4x
10x-30<-6-4x
10x+4x<-6+30
14x<24
answer- x< 12/7
Answer:
x<12/7
Step-by-step explanation:
hope that helps
PLEASE HELP! DUE TONIGHT
Solve x + 3 = - 10
A.x = -13
B. x = 13
C. x= 7
D. x = - 7
Answer:
The answer is A. x= -13
Step-by-step explanation:
The way that you solve it is change the positive 3 to negative and adding the negative 3 to negative 10.
A group of students are studying two models of solids, liquids, and gases. The students have been given an ice cube that has been dyed blue, and the students are to carefully place the ice cube in a container of room temperature water Which is the appropriate question to ask prior to the experiment?
Answer:
figure b
Step-by-step explanation:
cuz yez
What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]
Captionless Image
Answer:
you didnt put the image but it might be 97879
Fill out the chart representing the trig values of quadrant 1 of the unit circle (picture included)
PLEASE ANSWER!!!!! WILL GIVE POINTS!!
The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item. (round to nearest hundredth or cent.)
Answer: 0.13
3 times 0.044 =0.13
Step-by-step explanation:
Ben bought a new computer for $1200. Each yedt, the value of the computer decreases
by 30% of the previous year's value. At this rate, what can Ben expect the approximate
value of the computer to be after 6 years?
$130
$360
$0.88
$141
Answer:
$141
Step-by-step explanation:
1200-(1200*30/100 )
and i did that six time each tume with the new numbers i got
An area rug has the dimensions of 4 feet x 8 feet. How many square inches is that?
Answer:
Step-by-step explanation:
This is because 4 ft x 8 ft = 24 feet
24 feet times 12 (this is because there 12 inches in a foot)
288 inches
PLZZZZ HELPPPPP BRAINLIEST REWARDD
Answer:
1) Growth
2) y = 3
Explanation:
1) y = a*b^x
y = 3 + 2^x
2 > 1, so it's growth
there are seven people and Luisa's family they have four loaves of cinnamon bread to share equally Luisa wants to know how much cinnamon bread she will get
Answer:
[tex]\frac{4}{7}[/tex] of a loave of bread per person
Step-by-step explanation:
Step 1: Convert words to expressions
Seven people in Luisa's Family = 7 people
Four loaves of cinnamon bread = 4 loaves
Step 2: Divide people from loaves
4 loaves / 7 people <- This means they are splitting 4 loaves of bread between 7 people
[tex]\frac{4}{7}[/tex] of a loave of bread per person
Answer: [tex]\frac{4}{7}[/tex] of a loave of bread per person