Answer:
[tex]\frac{3x-6}{x(x-3)}[/tex]
Step-by-step explanation:
We require the denominators of the fractions to be common.
Multiply numerator/denominator of first fraction by x - 3
Multiply numerator/denominator of second fraction by x
Then
= [tex]\frac{2(x-3)}{x(x-3)}[/tex] + [tex]\frac{x}{x(x-3)}[/tex] ( simplify numerators, leaving the common denominator
= [tex]\frac{2x-6+x}{x(x-3)}[/tex]
= [tex]\frac{3x-6}{x(x-3)\\}[/tex]
Janai goes to dinner and the bill comes to $50.00. She
has a coupon for 10% off. Tax is 8%. What is her total
bill?
Answer:
49 dollars
Step-by-step explanation:
10% of 50 is 5
50 - 5 = 45
8% of 50 is 4
45 + 4 = 49
What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?
Answer:
25.6
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]
The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (5, 13) and (-8, -9)
[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]
d = √(169+484)
d = 25.55 units ≈ 25.6 units
Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
Learn more about the distance formula here:
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slope is 1/2 and a point is (4, -5) solve for b
Y=mx+b
Answer:
y=1/2x-7
Step-by-step explanation:
Answer:
-5=1/2(4)+b
-5=2+b
-7=b
Hope this helped!
1. "-4 less than a number is 17."
Answer:
yes
Step-by-step explanation:
Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.
Answer:
[tex]Area = 49\frac{25}{36}[/tex]
Step-by-step explanation:
Given
Tile
[tex]Length = 4\frac{5}{6}[/tex]
[tex]Width = 2\frac{1}{3}[/tex]
See attachment for dimension of the floor
Required
Determine the area covered by the carpet
From the attachment, the dimension of the floor is:
[tex]Length = 12\frac{1}{4}[/tex]
[tex]Width = 5[/tex]
Calculate Area
[tex]Area = Length * Width[/tex]
[tex]Area = 12\frac{1}{4} * 5[/tex]
[tex]Area = 61\frac{1}{4}[/tex]
The area of the tiles is:
[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]
[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]
[tex]Area = \frac{203}{18}[/tex]
[tex]Area = 11\frac{5}{18}[/tex]
So, the carpet area is:
[tex]Area = Floor\ Area - Tile\ Area[/tex]
[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]
To improper number
[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]
Take LCM
[tex]Area = \frac{2205 - 416}{36}[/tex]
[tex]Area = \frac{1789}{36}[/tex]
[tex]Area = 49\frac{25}{36}[/tex]
Write ratios for sin C, cos C, and tan C
Answer:
sin c - 25/7
cos c - 7/24
tan c - 25/24
Step-by-step explanation:
f(x)= -x^2, Find f(3)
Let x = 3
f(3) = -(3)^2
f(3) = -(9)
f(3) = -9
Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 o(-5, -3)} O [(1,1)] O [(5.3)]
Answer:
2.2 results in a true equation, 2.2 is a solution to the equation.
Step-by-step explanation:
Step 1. Substitute the number for the variable in the equation.
Step 2. Simplify the expressions on both sides of the equation.
Step 3. Determine whether the resulting equation is true.
If so, the number is a solution.
If not, the number is not a solution.
Which functions are correctly graphed?
Select all the correct answers
the second one, and the third one
According to the function Graph 2 , 3 and 4 are correctly graphed.
What are Functions ?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
To determine which are the functions whose domain value match with that of the graph drawn ,
The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.
Graph 1 is not correctly graphed
Graph 2 , 3 and 4 are correctly graphed according to the function.
To know more about the function
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Please help me i need it -_-
Find the midpoint between A (8, 2) and B (10, 4)
Answer:
(9,3)
Step-by-step explanation:
m={(x1+x2)/2,(y1+y2)/2}
m={(8+10)/2,(2+4)/2}
m={9,3}
Hope that helps :)
A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?
Answer:
1 1/2 tons per hour
Step-by-step explanation:
8 1/4 ÷ 5 1/2
50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
plz help i need some one to check if this is right :(
Answer: No, it's not. x should be 121
Step-by-step explanation:
Answer:
No it is 121
Step-by-step explanation:
22+37= 59
all angles add up to 180 degrees
180-59=121 degrees
HELP!!,I WILL GIVE BRAINLIEST!!!
Answer:
your answer will be Option A
Step-by-step explanation:
hope it helps
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
PLEASE HELP MEEEEEEEE :)))
Answer:
26
Step-by-step explanation:
Devaughn = 2x
Sydney = x
x + 2x = 78
3x = 78
x = 78 / 3
x = 26
Hope that helps!
Answer:
26
Step-by-step explanation:
Lets say Devaughn age = d and Sydney age = s
Therefore,
d = 2s
and s + d = 78
Well, we can use substitution for d.
s + (2s) = 78
3s = 78
s = 26
The hypotenuse of a right triangle measures 20 cm and one of its legs measures 11
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
multiplicative inverse of 2/9
Answer:
multiplicative inverse of -2/9 is -9/2.
Step-by-step explanation:
HOPE THIS HELPS :)
make sure to mark me brainliest for the 4 algebra calculators that WORK GREAT
The question and information is on the photo pls if you can give me the work to.
Answer:
SI = 2052.61 ft
Step-by-step explanation:
cos 13 = 2000/SI
0.9744 = 2000/SI
multiply both sides by SI:
(SI)(0.9744) = 2000
divide both sides by 0.9744:
SI = 2052.61 ft
can somebody please solve for x and y, if you get the answers correct I'll give you extra points
Answer:
1 ,x=18,y=13.3
2,x=8,y=30
3,x=15
The functions f(x) and g(x) are shown on the graph. f(x) = |x|
what is g(x)
Answer:
D
Step-by-step explanation:
Answer:
i just took it. its actually g(x)=|x+5|
Step-by-step explanation:
find the slope of the line that passes through (2, 1) and (9, 4)
Answer:
m= 3/7
Step-by-step explanation:
(2, 1) and (9, 4)
m= (y2-y1)/(x2-x1)
m= (4 - 1)/ (9-2)
m= 3/7
In a javelin throw competition, five athletics score 56, 58, 63, 57 and 61 meters. What are their Mean and Median?
Answer:
Mean = 59
Median = 58
Step-by-step explanation:
Given the data for a Javelin throw :
56, 58, 63, 57 61 meters
Reordering the data: 56, 57, 58, 61, 63
Mean, m = Σx / n
n = sample size = 5
m = (56 + 57 + 58 + 61 + 63) / 5
m = 295 / 5
m = 59
The median : 1/2 (n+1)th term
1/2(5 +1) the term
1/2(6) = 3rd term
Median value = 58
If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?
is y+7=2x a direct variation
Answer:
No, y+7=2x does not represent direct variation
Step-by-step explanation:
No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.
y = 2x represents direct variation; y = 2x - 7 does not.
find the length . IF necessary round to the tenth
Answer:
24
Step-by-step explanation:
Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]
Which is 49 + b = 625
Subtract the difference 625 - 49. then you get the following
b = 576
Finally find the square root of this number and that's your answer: 24
Answer:
by using Pythagoras law
third side =√(25²-7²)=24
Pls help i am stuck on this
Answer:
1,4.560
Step-by-step explanation:
I am not so sure.
Plz show work if ya can so I can understand this thanks
Answer:
area = 57√3 cm²
Step-by-step explanation:
lower polygon:
14-8 = 6, 6/2 = 3
3 is the base of the lower left triangle
cos 60° = 3/hypotenuse
hypotenuse = 6
height of triangle² = 6² - 3² = 45
height of triangle² = 36 - 9 = 27
height of triangle = √27 = √(9 x 3) = 3√3
area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²
upper parallelogram:
area = 8(3√3) = 24√3 cm²
total area = 24√3 + 33√3 = 57√3 cm²
which is the only type of function below that could have a maximum?
A) linear function B) quadratic function C) exponential function
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative a term, it will also have a maximum value. There are three ways to find that maximum, depending on which form of a quadratic you have.
HOPE IT HELPS
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