What is the solution to the HELP HELP equation m+4
m2
-?
m2-16
4-m
Om =-4
O m = -2
Om = 2.
Om = 4
Answers
Answer:
m = -2
Step-by-step explanation:
[tex]\frac{m}{m+4} + \frac{4}{4-m} = \frac{m^2}{m^2-16}\\\\\frac{m}{m+4} + \frac{4}{-(m-4)} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ ( 4 - m) = - (m -4) \ ][/tex]
[tex]\frac{m}{m+4} + \frac{-4}{(m-4)} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ \frac{a}{-b} = \frac{-a}{b}\ ][/tex]
[tex]\frac{m}{m+4} - \frac{4}{m-4} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ \frac{x}{y} + \frac{-a}{b} = \frac{x}{y} - \frac{a}{b} \ ][/tex]
[tex]\frac{m(m-4)-4(m+4)}{(m-4)(m+4)} = \frac{m^2}{m^2-16}\\\\\frac{m^2 -4m -4m-16}{(m^2-16)} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ T aking \ LCM \ and \ simplifying\ ][/tex]
[tex]m^2 - 8m -16 = m^2[/tex] [tex][ \ \frac{a}{b} = \frac{c}{b} => a = c \ ][/tex]
[tex]m^2 - m^2 - 8m - 16 = 0\\\\0 -8m = 16\\\\-8m = 16 \\\\m = \frac{16}{-8} = -2[/tex]
Related Questions
ANYONE KNOW THE ANSWER TO THIS??
Answers
Answer:
x = 14 is your answer
Step-by-step explanation:
76 = 7x-22, so to figure it out, you first move -22 to the other side and get
76+22 = 7x.
add them together and you get 98 = 7x
7x would be your equation, so divide 98 by 7 and you get your solution
x = 14 is your answer
If 12 muffins cost $27, how much would 2 muffins cost?
Answers
Which operation should you perform first in the expression 7x2^3?
Answers
Answer:
Below,
Step-by-step explanation:
The exponent part is done first
7 x 2^3
= 7 * 8
= 56.
You use the acronym PEMDAS:-
( E ( exponential) comes before M (multiply))
67 2/3% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answers
Answer:
2/3
Step-by-step explanation:
2/3 is 66 2/3%
Pic added
Solve for x.
L
20x + 10
850
K
J
3
8
Answers
Answer:
Option (3)
Step-by-step explanation:
By applying the property of inscribed angle and intercepted arc in the given circle,
"Measure of an inscribed angle is half the measure of the intercepted arc"
[tex]m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})[/tex]
[tex]85=\frac{1}{2}(20x+10)[/tex]
[tex]170=20x+10[/tex]
[tex]20x=160[/tex]
[tex]x=8[/tex]
Therefore, Option (3) is the correct option.
PLEASE HELP ASAP Determine the period.
Answers
Cos15°°- Sin 15°= 1/√2
Answers
Hope it's help you
A box has three balls, one white and two red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:
a. Let F= the event of getting the white ball twice.
b. Let G= the event of getting two balls of different colors.
c. Let H= the event of getting white on the first pick.
d. Are F and G mutually exclusive?
e. Are G and H mutually exclusive?
Answers
Answer:
See explaation
Step-by-step explanation:
Given
Represent the balls with the first letters
[tex]W =1[/tex]
[tex]R =2[/tex]
Solving (a): P(F) --- White balls twice
The event of F is:
[tex]F = \{(W,W)\}[/tex]
So:
[tex]P(F) = P(W) * P(W)[/tex]
[tex]P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]
[tex]P(F) = \frac{1}{3} * \frac{1}{3}[/tex]
[tex]P(F) = \frac{1}{9}[/tex]
Solving (b): P(G) --- two different colors
The event of G is:
[tex]G = \{(W,R),(R,W)\}[/tex]
So:
[tex]P(G) = P(W) * P(R) + P(R) * P(W)[/tex]
[tex]P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}[/tex]
[tex]P(G) = \frac{1}{3} * \frac{2}{3} + \frac{2}{3} * \frac{1}{3}[/tex]
[tex]P(G) = \frac{2}{9} + \frac{2}{9}[/tex]
[tex]P(G) = \frac{4}{9}[/tex]
Solving (c): P(H) --- White picked first
The event of H is:
[tex]H = \{(W,R),(W,W)\}[/tex]
So:
[tex]P(H) = P(W) * P(R) + P(W) * P(W)[/tex]
[tex]P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]
[tex]P(H) = \frac{1}{3} * \frac{2}{3} + \frac{1}{3} * \frac{1}{3}[/tex]
[tex]P(H) = \frac{2}{9} + \frac{1}{9}[/tex]
[tex]P(H) = \frac{3}{9}[/tex]
[tex]P(H) = \frac{1}{3}[/tex]
Solving (d): F and G, mutually exclusive?
We have:
[tex]F = \{(W,W)\}[/tex]
[tex]G = \{(W,R),(R,W)\}[/tex]
Check for common elements
[tex]n(F\ n\ G) = 0[/tex]
Hence, F and G are mutually exclusive
Solving (e): G and G, mutually exclusive?
We have:
[tex]G = \{(W,R),(R,W)\}[/tex]
[tex]H = \{(W,R),(W,W)\}[/tex]
Check for common elements
[tex]n(G\ n\ H) = 1[/tex]
Hence, F and G are not mutually exclusive
Select all the correct answers.
These examples show the application of the negative exponent property. Which two examples correctly apply this property?
Answers
Answer:
First one and Third one
Step-by-step explanation:
Answer is correct from Plato
The correct expressions are:
[tex]17^{-1/4}[/tex] [tex]= \frac{1}{17^{1/4}}[/tex]
[tex]y^{1/2}[/tex] [tex]= \frac{1}{y^{-1/2}}[/tex]
In the given expression,
Since we know that the rule of exponent,
[tex]a^{-n} = \frac{1}{a^n}[/tex]
Therefore,
For the given expression,
[tex]17^{-1/4}[/tex]
Using the above property of exponent we can write it,
[tex]= \frac{1}{17^{1/4}}[/tex]
Hence this is the correct expression.
For the given expression,
[tex]y^{1/2}[/tex]
Using the above property of exponent we can write it,
[tex]= \frac{1}{y^{-1/2}}[/tex]
Hence this is the correct expression.
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Which expression can be modeled using the number line?
Answers
Answer:
7 x 1/10 = 7/10
Step-by-step explanation:
There are 7 "bumps" on the number line, and each "bump" moves the line 1/10.
This can also be modeled as
1/10 + 1/10 + 1/10 +1/10 +1/10 +1/10 +1/10 = 7/10
A TRIANGLE HAS SIDE LENGTH 3, 8 AND 9. FIND THE ANGLE MEASUREMENTFOR THE ANGLE CROSS FROM THE SIDE WITH LENGTH OF 8.
Answers
Answer:tu culo
Step-by-step explanation:
Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11
Answers
Answer:
I think choose (1)
[tex]125 ^{ \frac{1x}{3} } [/tex]
Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)
Answers
Answer:
(a) - 3/2
(b) - 78/25
Step-by-step explanation:
According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .
The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.
The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.
(a)
[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]
(b)
[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]
find the equation of straight line passing through each of the following pairs of points
a) (2,4) and (7,2)
Answers
Answer:
The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
Having two points, the slope is given by the change in y divided by the change in x. Points (2,4) and (7,2), so:
Change in y: 2 - 4 = -2
Change in x: 7 - 2 = 5
Slope: [tex]m = \frac{-2}{5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + b[/tex]
(2,4)
This means that when [tex]x = 2, y = 4[/tex]. So
[tex]y = -\frac{2}{5}x + b[/tex]
[tex]4 = -\frac{2}{5}(2) + b[/tex]
[tex]b = 4 + \frac{4}{5} = \frac{20}{5} + \frac{4}{5} = \frac{24}{5}[/tex]
The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]
Evaluate the expression for the given value of the variable.
3x + 4 when x = 2
5y - 3.6 when y = 4
7z4+ 1.05 when z = 1.2
20 - b3.2when b = 5.2
Answers
Answer:
I NOT 100% SURE BUT I THINK ITS .B)
Step-by-step explanation:
HELP MATH ANSWER QUESTION
Answers
the answer is in the picture
please help its urgent
Answers
Answer:
Step-by-step explanation:
18x-6=120
18x=120+6
18x=126
x=126÷18
x=7
27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet
Answers
The length of the shorter piece is 15.55 feet.
Concept:Firstly, we will assume the ratio in which this tube is cut.Then, we will substitute the ratio and solve for the lengths of the two pieces.How to solve the given question?As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.Total length of tube = 35 feet∴ 4k + 5k = 35
∴ 9k = 35
∴ k = [tex]\frac{35}{9}[/tex]The length of shorter tube piece = 4 k = 4 × [tex]\frac{35}{9}[/tex] = 15.55 feet.
Thus, the length of the shorter piece is 15.55 feet.
As none of the options matches the answer, all options are incorrect.
Learn more about Ratio & Proportion here:
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help please show work
Answers
1/2 • 4.7 x 8 = 18.8
8.) 40.96 square miles
6.4^2 = 40.96
9.) 7 square meters
1/2 • 4 • 3.5 = 7
10.) 36.4 square centimeters
(2.6 + 7.8) ÷ 2 x 7
11.) 22.8 square yards
6 • 3.8 = 22.8
12.) 30.6 square centimeters
5.1 • 6 = 30.6
Explanation:
FORMULAS FOR AREAS OF:
Triangle: 1/2 • base • height
Square: side^2
Parallelogram: base • height
Rectangle: Length • width
Trapezoid: (a + b) ÷ 2 x height
(a & b are the two bases)
hope this helps!
3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?
Answers
Answer:
t = -1
c = 6
s = 8.2 or 8 1/5 (same thing just different notation)
Step-by-step explanation:
3(t+4) = 9
3t + 12 = 9
3t = -3
t = -1
-(c-6) = 0
-c + 6 = 0
-c = -6
c = 6
-10(s+4) = -122
-10s - 40 = -122
-10s = -82
10s = 82
s = 82/10 = 8.2 or 8 2/10 or 8 1/5
What is the answer. I need it ASAP u have to choose 3 answers
Answers
y=1.25 :))))
If it is true, don't forget to click ”thanks♥️” for me
Please can you help me
Answers
Answer:
[tex]x = 24.75[/tex]
Step-by-step explanation:
Required
Find x
To find x, we have:
[tex]\angle PQR + \angle RPQ + \angle QRP = 180[/tex] -- angles in a triangle
Because [tex]\bar {PR}[/tex] is extended to S, then:
[tex]\angle QRS = \angle QRP[/tex]
So, we have:
[tex]2x + 6 + x - 7 + 5x -17 = 180[/tex]
Collect like terms
[tex]2x + x + 5x = 180 + 17 + 7-6[/tex]
[tex]8x = 198[/tex]
Divide by 8
[tex]x = 24.75[/tex]
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answers
Answer:
We want to find the graph of:
|x| = 3
Remember how the absolute value function works:
|x| = x if x ≥ 0
|x| = -x if x < 0
Then for the equation:
|x| = 3
We have two possible values of x:
x = 3
|3| = 3
and x = -3
|-3| = -(-3) = 3
Then the graph of this equation is two vertical lines, one at:
x = 3
and another at:
x = -3
The graph can be seen below:
To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?
10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
–32 and 2
–2 and 32
–2 and 2
–32 and 32
Answers
For this problem you really need to use algebraic skills. Coefficients refer to the number by the variable. So if you follow the steps it gives you then you’re fine.
Problem:
10(0.5x+2) - 5 = 3(x-6) + 1
Distribute:
5x +20 - 5 = 3x - 18 + 1
Combine like terms:
5x + 15 = 3x - 17
Addition and subtraction properties:
5x - 3x + 15 = -17
2x = -17 -15
2x = -32
OR:
5x + 15 = 3x - 17
15 + 17 = 3x - 5x
32 = -2x
Therefore your answer is -2 and 2 because coefficient is the number being multiplied by the variable. In this case it can be -2 or 2 depending where you move the variables (aka adding them or subtracting them from both sides)
Answer:
-2 and -2
Step-by-step explanation:
please help meeeeeeeeeeeeeeeeee
pt 1
Answers
Answer:
Completing the square
Step-by-step explanation:
The proof is lengthy, and I don't think you came here to see that whole proof. Here it is anyway to show you the process of completing the square.
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:more-on-completing-square/a/quadratic-formula-proof-review
Tính (1,5)4; ((-2)/3)3; (√3)5.
Answers
Step-by-step explanation:
câu trả lời là trong bức ảnh trên
06.04 find the area of the image below a.24.6 units b.25.8 units c.26.3 units d.27.5 units
Answers
Divide the figure into one parallelogram and one triangle.
Count the base and height of the parallelogram:
The base is 5 units, the heigth is 3 units.
AREA- 3 • 5 = 15 units
Count the base and height of the triangle:
The base is 5 units, the height is also 5 units.
AREA- 1/2 • 5 • 5 = 12.5
Add the area of the parallelogram and the area of the triangle:
15 + 12.5 = 27.5
SO, the area of the whole figure is 27.5 square units.
BRAINLIEST WILL BE APPRECIATED!
Have a nice day -SpaceMarsh
In mixture A of candy ingredients there are 3 parts of milk-chocolate for every Z parts peanut separate mixture B. there are 4 parts of nougat for every 3 parts of caramel equat parts of A and combined in one mixing bow what is the ratio of peanut butter to nougat in the bowl
Answers
4n=3c :B
If it’s a1:1 for A:B
z:4n
Feel like you left out something but this is what I got from info provided
Answer:
D. 7:10
Step-by-step explanation:
The Correct Answer
There are 5,000 books in the town's library. Of these, 4,700 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Answers
Answer:
94%
Step-by-step explanation:
4,700/5,000 x 100%
0.94 x 100% = 94%
Answer:
94%
Step-by-step explanation:
Please help pleaseeeeee
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem states, square of longer is equal to the sum of square of other sides.
That is, c² = a² + b²
[tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]
Therefore, the lengths satisfies Pythagorean Theorem.
If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.