Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
URGENT:
Which of the following statements must be true? Select all that apply
Which of the ordered pairs shown represents another point that lies on the graph of this line and is a solution of the equation y = 2x + 1?
Answer:
(6,3)
Step-by-step explanation:
Do the following setm of lengths form a right triangle 36,77, 85
Answer:
They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.
Answer:
yes
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.
longest side = 85 and 85² = 7225
36² + 77² = 1296 + 5929 = 7225
Thus the 3 sides form a right triangle
Help me with this!!!
Answer:
IJ = 34
Step-by-step explanation:
s + 17 = 2s
17 = 2s - s
17 = s
s = 17
IJ = 2s = 2(17) = 34
how to write an answer in Brainly with decorative style like this
please tell me how to edit the answer and make it like how the photo is
please help!!!
Answer: Go to ur profile and choose the tab that says which questions u have asked then you can edit ur response (a little pencil icon will be on the top right corner of ur question)
Step-by-step explanation:
info above.
What is the answer for b?
Answer:
a+69=180
a=180-69
a=111
In triangle sum of all angle is 180 degree. Therefore;
b+69+73=180
b+169=180
b=180-142
b=38
Step-by-step explanation:
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:
D
Step-by-step explanation:
Hello There!
I had made a graph with the given points plotted
If you were to draw a line straight through the middle of the points
most of the points would be near the line therefore the correlation is strong
The relationship is also positive because the points are going from left to right up
So we can conclude that the answer would be D
91X + 637 = 273 Find X
pls help?
Answer:
X = -4
Step-by-step explanation:
91x + 637 =273
First subtract 637 from both sides: 91x = -364
Then, divide both sides by 91 to get X by itself: X = -4
Jack purchases 4 pounds of colby jack cheese if the price is $ 5.98 per pound how much did jack pay
Answer:
$28.92
Step-by-step explanation:
4 x 5.98
Answer:
23.92
Step-by-step explanation:
5.98 (4) = 23.92
If the simple interest on $8000 for 3 years is $540, what is the rate of interest per annum?
Answer:
2.25%
Step-by-step explanation:
I = Prt
Given:
I = 540
P = 8000
t = 3
Solve for r:
I = Prt
r = I/(Pt)
r = 540/(8000 * 3)
r = 540/24000
r = 0.0225
Rate in percentage form:
0.0225 * 100 = 2.25%
Plz, answer this question plz!
POSSIBLE POINTS: 5 Jason wants to buy a car. He has $2500 in his savings account. He also needs to pay $600 for insurance. How much can Jason spend on a car?
Answer:
1900
Step-by-step explanation:
Jason wants to buy a car
He has $2500 in his savings account
He also needs $600 to pay for insurance
Therefore the amount he can pay for the car can be calculated as follows
= 2500-600
= 1900
Which is not a possible solution of a system of linear equations?
A no solution
B. only one point
C. only two points
D. infinitely many solutions
Answer:
infinetely many salutions
Answer:
D
Step-by-step explanation:
infinitely many solutions
A 34-foot tall utility pole is supported by two wires that are anchored 8feet from the base of the pole.how many feet of wire is needed for the support wires?
Answer:
35 feet
Step-by-step explanation:
The problem is a right angle triangle problem and we have to solve it using pythagoras theorem
Let the length of the wire be x
So;
x^2 = 34^2 + 8^2
x = √34^2 + 8^2
x = 35 feet
What is the final elevation if a whale starts at -9m and changes 11m?
Answer:
20m
Step-by-step explanation:
A triangle has two sides of length 12 and 6. What is the largest possible whole-number length
for the third side?
PLSSSSSSS HELP MEHHHHHH REWARD BRAINLIESTTTT
Answer:
y=f(x)
Step-by-step explanation:
This means it falls under x axis
Q2. f(x) moves to the left
Q3. moves to the right
if x=2,y=-3 and z=4, find the value of:
3xy/2z
Answer: -2.25
Step-by-step explanation:
We plug in the numbers.
[tex]\frac{3xy}{2z}\\= \frac{3(2)(-3)}{2(4)}\\= \frac{-18}{8}\\= -2.25[/tex]
What is the area of this face?
Answer:
242 ft^2
Step-by-step explanation:
15 x 14 + 4 x 8 = 242 ft^2
(break down the polygon into two rectangles)
find the equation of the locus of a point is at a distance 7 units from the point(1,6).
Answer:
Step-by-step explanation:
let (x,y) be any point on the locus.
Then
[tex]\sqrt{(x-1)^2+(y-6)^2} =7\\or\\(x-1)^2+(y-6)^2=49\\which ~is~a~circle.[/tex]
Solve the linear equation
x + y = 2
2x + 2y = -6
Answer:
Step-by-step explanation:
X
Review -
Bookmark
of 15
Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
Answer:
He would be making 544.8$ each week
Step-by-step explanation:
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
MN
Step-by-step explanation:
ML:RQ = MN:RS = LN:QS (corr side, similar triangles)
Identify the center and radius of the circle with the following equation: [tex]\displaystyle(x+3)^2+(y+\frac{3}{2})^2=4[/tex]
Hey there,
The equation is already written in circle equation form but if needed, here is what it will look like when it isn't simplified.
(x - (-3))² + (y - (-3/2))² = 2²
With this, the circle has a center at (-3, -3/2) and a radius of 2.
Best of Luck!
Step-by-step explanation:
Hey there!
Given;
The equation of a circle is:(X+3)² + (y+3/2)² = 4.
Comparing the equation with (x-h)²+(y-k)² = r², we get;
Centre (h,k) = (-3,-3/2)
Radius (r) = 2 units.
Hope it helps!
Which is the most efficient way to solve this equation 8m=48
Answer:
by transposing method
m=48/8
m=6
Answer:
M=six
Step-by-step explanation:
because 48 divided by 8 is six so the answer is six
Help will give b if correct
Answer:
0.28
Step-by-step explanation:
28 divided by 100=0.28
Answer:0.28m
Step-by-step explanation:
Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?
Answer:
NOStep-by-step explanation:
I THINK THE RIGHT ANSWER IS RHS THEOREM.how will you factor quadratic or polynomial expressions?
please show me a graph of the inequality statement f(x) is less than or equal to 2x squared + 4x
Answer:
Step-by-step explanation:
Due: Today Raven told Micah the perimeter of the swimming pool was 35 feet, the dimension of the pool were 5 ft by 7 ft. Micah said the perimeter was 24 feet. Who is correct? Justify your answer.
Answer: Micah
Step-by-step explanation:
Given
Raven told Perimeter of the swimming pool is [tex]35\ ft[/tex]
Micah said Perimeter is [tex]24\ ft[/tex]
The actual dimension of the swimming pool is [tex]5\ ft\times 7\ ft[/tex]
Perimeter is given by [tex]2(l+w)[/tex]
Using this, the perimeter is
[tex]\Rightarrow P=2(5+7)\\\Rightarrow P=2\times 12=24\ ft[/tex]
[tex]\therefore[/tex] Micah statement is correct.