factor 4a^2-b^2-2a+b
Answer:Equation at the end of step 1
STEP
2
:
4a2 - b2
Simplify ————————
2a - b
Trying to factor as a Difference of Squares:
2.1 Factoring: 4a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Canceling Out :
2.2 Cancel out (2a - b) which appears on both sides of the fraction line.
Final result :
2a + b
Step-by-step explanation:
HELPPP THIS IS DUE IN 2 HOURS PLZZZZZ HELPPP I WILL GIVE BRAINLIST
Answer
Input= 5
Output= 120
Step-by-step explanation:
The input goes up by 1, so m=5
The output shows how many hours there are in that many days so blank=120
Answer
output for m is 5
Step-by-step explanation
- multiply the input by a number to get the output
- to get the number to multiply it by you can divide a given out put by the input
( 24/2) = 12
- notice patterns
input- output
2 24
3 36
4 48
5 120
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Write as a repeated addition. Use fraction
strips or a number line to calculate each
answer.
a) 2 x 1/3
b) 2 x 5/4
c) 4 x 5/2
d) 5 x 1/6
e) 6 x 3/5
f) 7 x 7/6
Please answer it it as quickly as possible....
Answer:
A) 2/3
B) 5/2
C)5/2
D) 5/6
E) 9/5
F) 49/6 (LOWEST TERM IT URSELF PLS)
I urgently need help!!!!!!
Answer:
You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.
Step-by-step explanation:
Angle 1 + angle 2 = 90
solve for x = ____
Plug the value into each expression to find the measure of each angle.
Answer:
D
Step-by-step explanation:
(2x+6)+(5x+14)=90
7x+20=90
7x=70
x=10
(2x+6)=26°
(5x+14)=64°
Which one is it???????
10,295 - 3,429 = N
N = ?
Answer:
The Answer is 6,866
What does a=? b=? Angle B=?
Answer:
If you were solving the right triangle, it would be:
m∠A = 46°
m∠B = 44°
m∠C = 90°
AB = 32
BC ≈ 23
AC ≈ 24
Step-by-step explanation:
To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:
m∠A = 46° (given)
m∠B = x
m∠C = 90° (given)
180 - (46 + 90) = x
180 - 136 = x
44 = x
m∠B = 44°
To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.
Recall that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
So:
sin46 = BC/32
BC = 32 (sin46)
BC ≈ 23
tan46 = BC/AC
AC = BC/tan46
AC = (23.01887361...) (tan46)
AC ≈ 24
I need help with solving this math problem please I will give brainliest to whoever gets it correct!!!!
Answer:
6^2+8^2=10^2
5^2+x^2=6^2
Step-by-step explanation:
The sum of b and 3
Please this really important
Answer:
The answer to the question is b+3 (if you need an equation)
which of the following is the best estimate for 487 divided by 67
Answer: 7.26
Step-by-step explanation:
calculator
last question please som1
Answer:
898/8×41=4602.5
Step-by-step explanation:
I HOPE THIS WILL HELP YOU KEEP WORK HARD FOR STUDIES
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $8.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable to represent the number of hours.
Answer:
8.8 hours
Step-by-step explanation:
Happy Paws y=4.5x+19
Woof Watchers y=5.75x+8
4.5(8.8)+19
$58.6
5.75(8.8)+8
$58.6
please help i need this rn. no spammers please.
Answer:
x = -6 & y= 42
Step-by-step explanation:
I hope this helps :)
x = 6, y = -42
Substitution:
-7x = -5x - 12
-2x = -12
x = 6
When x = 6,
y = -7(6) = -42
There are 24 students in Ms. Woodall's class. 1/2 of the students are boys. 1/3 of the boys have brown hair. what is the number of the boys in Ms. Woodall's class who have brown hair?
Answer:
the answer is 4
Step-by-step explanation:
1/2 of 24= 12
1/3 of 12=4
hope this helps
What fraction is shown on the ruler below?
Correct answer pls!
Answer:
The last one, I think
Step-by-step explanation:
Answer: 4 5/16
Step-by-step explanation: becuase i got 100 on quiz
Will mark brainliest! help asap! Don’t scam
Tanijah paid $4.00 for 5 organic peaches. How much did she pay per peach?
Answer:
80 cents i think if i did my math right
Step-by-step explanation:
80 times 5 is 400
Help lol I dunno what to do
Answer:
same
Step-by-step explanation:
Answer:
The answer is 9.2
Step-by-step explanation:
Find the area of the triangle, show work and hurry
Answer:
Area=[tex]\frac{13(6)}{2}[/tex]
=[tex]\frac{78}{2}[/tex]
=39
Step-by-step explanation:
Answer:
39 ft
Step-by-step explanation:
use the formula for the area of the triangle (base*height)/2
(13*6)/2=78/2= 39 ft
Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (-3,-1) Slope: 0
Answer:
Y=-1
Step-by-step explanation:
The slope of line is zero
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answer: Answer is 9
Step-by-step explanation:
Answer:
the answer to this question is C. 9
Step-by-step explanation:
Choose the expression that is equivalent to the expression
n/4 n/4 n/4 n/4. A. N. B. 1/4n. C. 4n. D. 0
Answer:
A. n
Step-by-step explanation:
n/4 + n/4 + n/4 + n/4 = 4n/4 = n
On solving the expression, n/4 + n/4 + n/4 + n/4 , we get n.
What is a expression? What is a mathematical equation? What is equation modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
n/4 + n/4 + n/4 + n/4
We can write -
n/4 + n/4 + n/4 + n/4
n/4(1 + 1 + 1 + 1)
4 x n/4
n
Therefore, on solving the expression, n/4 + n/4 + n/4 + n/4 , we get n.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
4.
-4 + 5n = 18 + 3n
a. -12
b. -11
C.
1.5
d. 11
Answer:
d
Step-by-step explanation:
-4+5n=18+3n
step 1 add 4 to each side
5n=22+3n
step 2 subtract each side by 3n
2n=22
step 3 divide each side by 2
n=11
Anna is x years old and her sister is 5 years older. How old was her sister 5 years ago?
(principal test RSM)
Answer:
[tex]x[/tex]
Step-by-step explanation:
[tex]x + 5 - 5 = x[/tex]
Select all of the choices that are equal to (-5) - (-12)
-7
7
(-5)+12
(-5)+(-12)
Answer:
the awnser is. (-5) + (-12)
Answer: 7, -5+12
Step-by-step explanation:
Minus a negative is just like adding so -5 -( -12) would be the same as -5+12 which is 7
WILL AWARD 20 BRAINLY POINTS!
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
What is the sum of 25% of 2018 and 2018% of 25?
Answer:
1009
Step-by-step explanation:
0,25 x 2018 = 504,5
20,18 x 25 = 504,5
504,5 + 504,5 = 1009
Answer:
1,009
Step-by-step explanation:
[tex] \frac{25}{100} \times 2018 = 504.5[/tex]
[tex] \frac{2018}{100} \times 25 = 504.5[/tex]
[tex]504.5 + 504.5 = 1009[/tex]
hope it helps you ☺️
can someone help please?
Answer:
a. 150 degrees
b. 210 degrees
c. 12π
d. 5π
e. 7π
f. 36π
g. (I'm assuming the shaded region is CAB) 15π