the sum of the fractions 2/y-3 and 6/y+3 is equal to their
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
Answer:
I think "Product" is the answer. Not really sure.
A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?
Answer:
1
Step-by-step explanation:
In this situation, the slope is 1.
This is because the ski rental service charges $1 per hour.
The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.
So, the value of the slope is 1.
p->q is false and p is true.
q is
a.true
b.false
Answer:
Choice b. [tex]q[/tex] has to be false.
Step-by-step explanation:
Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).
[tex]p[/tex] is true and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is true and [tex]q[/tex] is false: [tex]p \implies q[/tex] would be false.[tex]p[/tex] is false and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is false and [tex]q[/tex] is false: [tex]p \implies q[/tex] would also be true.The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.
pls answer quickly before 3:30
Which of the following is true of the angle shown? Question 10 options:
A) The angle is not in standard position.
B) The terminal side of the angle lies in quadrant II.
C) The measure of the angle is greater than 360°.
D) The angle can be measured in radians only.
Answer:
The measure of the angle is greater than 360°.
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 226 feet at an angle
of 39° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does
the outfielder throw the ball?
Answer:
183.0 ft
Step-by-step explanation:
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
BRAINLIEST graphing question
Answer:
Step-by-step explanation:
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
Viết phương trình đường thẳng biết
a) vuông góc với đường thẳng x+2y=1 và đi qua A(1;2)
b) đi qua gốc toạ độ và đi qua điểm M (-1;3)
Answer:
Step-by-step explanation:
a) 2x - y = 0
Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?
Answer:
The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .
Step-by-step explanation:
plzzz make brainlist and follow
Answer:
(0,2) and (6,0)
Step-by-step explanation:
y-intercept, x=0
0+3y=6
y=2
x-intercept, y=0
x=6
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
I need help finding the answer
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔFED
~ ____
Answer:
FED ~ MLF
Step-by-step explanation:
∠L = ∠E
∠F = ∠F
Since both angles are congruent, that would mean all angles are congruent.
If all angles are congruent, then the triangles are always similar no matter the length of the sides.
The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
What are the similar triangles?Similar triangles are the triangles that have the same shape, but their sizes may vary.
What is AA or angle angle similarity rule?If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
What are vertically opposite angles?When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.
According to the given question.
We have two triangles LMF and EDF
In triangles LMF and EFD we have
∠MLF = ∠DEF (given)
Also, ∠MFL = ∠DFE (vertically opposite angles)
Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".
Therefore, by AA similarity criteria triangle FED is similar to FLM.
Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
Find out more information about AA similarity rule and vertically opposite angles here:
https://brainly.com/question/10069556
#SPJ2
A square shaped room contains 12 m3 of air. If the height of the room is 3 m, what is the area of the floor. Also, find the length of the floor.
Answer:
A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer
Step-by-step explanation:
please mark me brainlist
Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;
g(x) = 3·sin(x + π/2) - 4
ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for .
A. 26.17 cubic centimeters
B. 65.41 cubic centimeters
C. 523.33 cubic centimeters
D. 104.67 cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
Volume of sphere is given by the formula :
V = (4/3)×pi×r³
= (4/3)×3.14×125
= 523.33 cm³
( 1,-2), gradient = -3
Answer:
if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)
y+2=-3(x-1)
y+2=-3x+3
y= -3x+3-2
y -3x+1
hope this helps
Answer:
y = -3x + 1
Step-by-step explanation:
(y -(-2)) = -3(x-1)
y+ 2 = -3x+ 3
y = -3x + 1
Calculate the correlation coefficient, r, for the data below. Row chart ( (x )(y ) ) row chart ( ( -10 )( 2 ) ) row chart ( ( -8 )( -3 ) ) row chart ( ( -1 )( -15 ) ) row chart ( ( -4 )( -10 ) ) row chart ( ( -6 )( -6 ) ) row chart ( ( -7 )( -5 ) ) row chart ( ( -5 )( -8 ) ) row chart ( ( -3 )( -13 ) ) row chart ( ( -2 )( -14 ) ) row chart ( ( -9 )( -1 ) )
Answer:
The correlation coefficient is approximately -0.9949
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]
The correlation coefficient, r is given as follows;
[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]
From MS Excel, we have;
∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5
∑([tex]x_i - \overline x[/tex])² = 82.5
∑([tex]y_i - \overline y[/tex])² = 296.1
Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949
The correlation coefficient, r ≈ -0.9949
What’s the sum in the diagram, a + b + c =
Answer:
Answer is 360 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360°.
Answer: 360 degrees
Step-by-step explanation:
You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.
Someone help me out please
Answer:
142.5
Step-by-step explanation:
π×11²×135/360
= 363π/8
= 142.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
And these questions
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
Write the equation of the function
Arrange in descending order 14/13,25/26,8/3
summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3
Answer:
Thanks for the points... dude.....
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
Step-by-step explanation:
I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds
Anyone ?? Know the answers to these both? Due tmr morning
Answer:
Just use m a t h w a y for the answer
Step-by-step explanation:
Thank me later,or dont thank me at all
how many 5 cents can u get from $1.25?
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :
Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
Read more:
https://brainly.com/question/24371440
Find the value of x in the given
right triangle.
10
х
Answer:
44.4
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
sin theta = opp / hyp
sin x = 7/10
Taking the inverse sin of each side
sin^-1 (sin x) = sin^-1(7/10)
x = 44.427
Rounding to the nearest tenth
x = 44.4
