Answer:
(x+4)^2+(y-3)^2 = 85
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the center
r iis the radius
Get the radius
Radius is the distance between the two points
r^2 = (-3-3)^2 + (3-(-4))^2
r^2 - (-6)^2+(7)^2
r^2 = 36+49
r^2 = 85
Substitute (-4, 3) and r^2 = 85 into the formula
(x-(-4))^2 + (y-3)^2 = 85
(x+4)^2+(y-3)^2 = 85
This gives the required equation
What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)
After partial fraction decomposition the correct expression we get,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]
Hence option fourth is correct.
Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.
It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.
The given expression is,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex] [since (a-b) = a² + b² -2ab]
Simplifying we get
⇒ 12x - 25 = A(2x - 3) + B
⇒ 12x - 25 = 2Ax + (B - 3A)
Comparing the coefficients we get
2A = 12
⇒ A = 6
And B - 3A = -25
Put the value of A we get
B = -7
Hence,
After substituting the values of A and B in the given expression we get
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].
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Help I will be marking brainliest!!!
A. 4.95 feet
B. 21.44 feet
C. 22.58 feet
D. 21.99 feet
Show work, if possible. Thanks❤️
Answer:
B
Step-by-step explanation:
A right triangle is formed by the ground, the side of the house and the ladder.
The hypotenuse is the ladder
let the side of the house be h
Using the sine ratio in the right triangle formed, then
sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )
22 × sin77° = h , then
h ≈ 21.44 ( to the nearest hundredth )
The ladder reaches 21.44 ft up the side of the house
Please Help!!! I'll give brainliest
Answer:
Step-by-step explanation
didnt regroup for one part
the length of four insects are 0.02 inch, 1/8 inch 0.1 inch, and 2/3 inch. list the lengths in inches from least to greatest. PLS HURRY, I NEED AN ANSWER NOW!!!
Answer:
0.1, 1/8 , 2/3
Step-by-step explanation:
0.1 is 0.1
1/8 is 0.125
2/3 is 0.6
go math book 5th grade lesson 10.6
Answer:lol
Step-by-step explanation:
What is the solution to the inequality-6(p-8)<-12
Answer:
p < 10
Step-by-step explanation:
-6 (p - 8) < -12
-6p + 48 < -12
- 48 -48
-6p < -60
/-6 /-6
p < 10
La un supermarket sau vandut intro zi 32kg de banane si 86kg de portocale incasanduse 536 lei a doua zi sau vandut 96 kg de banane si 52kg de portocale incasanduse 784 lei cati lei costa un kg de banane dar de portocala
Answer:
the banana cost per kg is 6 and for orange it is 4
Step-by-step explanation:
The computation is shown below:
Let us assume the banana be x
And, the oranges be y
Now according to the question
There would be two equations
32x + 86y = 536.......(1)
96x + 52y = 784.........(2)
Now multiply by 3 in equation 1
96x + 258y = 1,608
96x + 52y = 784
258y - 52y = 1608 - 784
206y = 824
y = 4
And, the x would be
32x + 86(4) = 536
32x + 344 = 536
x = 6
Hence, the banana cost per kg is 6 and for orange it is 4
Freedom PopFreedom PopFreedomFreedom Pop Pop they right?
Answer:
D
B
Step-by-step explanation:
1. x² - 5x = 14
x² -5x -14 = 0
x² +2x -7x -14 = 0
x(x + 2) -7(x + 2) = 0
x - 7 or x + 2 = 0
x = 7 or x = -2
2. y² + 6y + 9 = 49
y² + 6y +9 -49 = 0
y² +6y -40 = 0
y² +10y -4y -40 = 0
y(y + 10) -4(y + 10) = 0
y -4 or y + 10 = 0
y = 4 or y = -10
6 need help asap will give brainly
Answer:
12x= 180
Step-by-step explanation:
The sum of a triangle always adds up to 180 so,
(4x-1)+ (2x-1) +6 = 180
12x=180
x=15
Answer:
The equation you could use is the 3rd solution. You need to add all of the nubers that have an x after it because you can't add a number that doesn't have x and a number that does have x. So once you add all of those, you add the 10, and keep the subtrction symbol instead of the addition symbol. And like I said before, all triangles are equal to 180.
Step-by-step explanation:
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
1. (4, 3), (1, –1)
Find the slope for the line that runs through points (2,5) and (-3, 7). Write your answer as a fraction using the slash as your fraction bar.
A) 2/5
B) 5/2
C) -2/5
D) -5/2
Answer:
c.
Step-by-step explanation:
5-7 = -2
2 - -3=5
-2/5
which of the following functions is graphed below?
If PQRS is a kite, find m angle Q
Answer:
Q = 35
Step-by-step explanation:
1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180
2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147
+-33 +-33
__________
17x = 147/17=21
/17 /17
3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145
4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35
Q= 35
Step-by-step explanation:
7x + 2 = 10x - 31
33 = 3x
x = 11
so, 7x + 2 = 7( 11 ) +2 = 79°
10x - 31 = 10( 11 ) - 31 = 79°
ΔP + ΔQ + ΔR + ΔS = 360°
79° + ΔQ + 79° + 124° = 360°
ΔQ + 282° = 360°
ΔQ = 360° - 282°
ΔQ = 78°
what are the answers to these 2 questions? pls help! thank u
Answer:
The first answer is no
two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number
The second answer is yes because they are all equal and make a straight line
Step-by-step explanation:
15% tip on a $38 bill
The final enrollment for the spring 2012 semester at The Florida State University
Panama City was confirmed to be 1,342 students. The year before it was 1,550 students. What was the
percent change in student enrollment?
Answer:
13% decrease. (13.4193548...% to be specific)
Step-by-step explanation:
The difference is 1550-1342=208. 208 as a percentage of 1550 --> 208/1550= 0.134193548... = 13% to the nearest whole number. So, it is a 13% decrease.
What is the reflected across y-axis and reflected across x-axis for (-2, 6)
STUCK ON THIS CAN I GET HELP?
Answer:
are there no options
Step-by-step explanation:
?
1. A cylinder and its dimensions are shown in the diagram. What is the
lateral surface area of the cylinder in square inches? Round to the
nearest hundredths. (TYPE YOUR ANSWER AS A NUMBER ONLY)
18 in
27 in
Answer:I’ll ask my my teacher
Step-by-step explanation:
Answer:
1123
Step-by-step explanation:
32 vfesjv sfv bs nvsn fv
This is a timed test and I am running really low on time, please help with this question.
Answer:
D: (1 + x) f[x] == 3
R: x < -1 || x > -1
Step-by-step explanation:
Work out the size of angle x.
105°
to
Answer:
105
Step-by-step explanation:
cuz it is corresponding angle
Find the perimeter of the triangle below
eight values have a mean of 7. a ninth value is added. the new mean is 9. what is the new value
Answer:
25 because the 8 values must times with 7 and will get 56. when the ninth value added , let the ninth value as y , 56+y , the new mean is 9 . so it will be like this , 56+y over 9 times with 9
True or False? k= 1 is a solution to the inequality 9k + 5 > 18. True or False
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation:
I need help with this please, i need it fast
Answer:
angle equals 15.466 so Answer A, 15.47
Look at this triangle.
B
8 cm
A
22 cm
Work out length AB.
Answer:
23.41cm
Step-by-step explanation:
Using Pythagoras theorem
a²+b² = c²
Where a and b are sides of the triangle and c is the Hypotenuse.
If we substitute the values
B= 8 cm
A= 22 cm
22²+8² = c²
484 + 64= c²
√548 = c
C= 23.41
Hence, length AB is 23.41cm
CHECK THE ATTACHMENT
HELPPP FOR 25 POINTS
Answer:
X/15 = 32/20
x = 24 ft
Step-by-step explanation:
X/15 = 32/20
x = 24 ft
brainliest, please help, The line PQ has equation y = 3x - 8 and point P has co-ordinates (6, 10). Find the equation of the line that passes through P and is perpendicular to PQ. Give your answer in the form y = mx + c.
The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).
We need to find the equation of the line that passes through P.
What is the condition of slope for perpendicular lines?The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.
Here, the slope of the equation is 3.
The equation of the line that passes through P and is perpendicular to PQ is -1/3.
Now, 10=-1/3(6)+c
⇒c=12
Thus, y=-1/3x+12
Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
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plz help!!!!!
i’ll give a brainiest:)
Answer:
7.8
Step-by-step explanation:
pretty sure it's right
PLS HELPPPPP!!!!!!!!
Answer:
7) 7500m
8) 4cm
..........