what is the quotient of the equation Below in simplest form? State any restrictions on the variable
Answers
Answer:
A
Step-by-step explanation:
Factor the numerators/ denominators where possible, that is
[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]
Cancel the factors (x - 5) and (x + 4) from numerator/denominator
= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]
= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3
Related Questions
a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?
Answers
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
The height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
What is Angle of Elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰
To calculate the height
Tan 54⁰ = height/2000
Height = 2000 X tan54⁰ = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = √ ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet
Using Pythagorean theorem again
Tan 24⁰ = 2752.8/distance
Distance = 2752.8/tan24⁰
Distance = 6182.9 feet
Thus, the height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Learn more about Angle of Elevation from:
https://brainly.com/question/16716174
#SPJ5
The area of a square is 189 square units. What is an
estimated value for the length of a side of the square?
between 10 and 11
between 11 and 12
between 12 and 13
between 13 and 14
Answers
Answer:between 13 and 14
Step-by-step explanation:cuz √189 is 13.7477270849 which is b/w 13 n 14
if okay mark brainliest isabella
Factor the polynomial.
18j4k - 30j75 + 54;3
Answers
Answer:
72jk - 2250j + 54.3
Step-by-step explanation:
Multiply the numbers 18 times 4 = 72
72jk - 30 times 75j + 54.3
Multiply 30 and 75 = 2250
72jk - 2250j + 54.3
ANSWER ASAP PLS AND TY
4. At Lowell High School, the cost to attend special events depends on whether or not a student has
purchased a S10 discount card.
Option A: The student buys a discount card. The cost is $5 per event.
Option B: The student does not buy a discount card. The cost is $7.50 per event.
Graph the relationship between total cost and number of events for each option on the grid.
LABEL BOTH LINES!! (Option A/Option B)
a) Under what conditions is it best to buy a discount card?
b) Under what conditions is it best to not buy the discount card?
c) Are there any conditions where it doesn't matter!
Answers
Circle P has a circumference of approximately 75 inches
What is the approximate length of the radius, n Use 3 14
for . Round to the nearest inch
12 inches
24 inches
38 inches
046 inches
Answers
Answer: The radius is 12.
Step-by-step explanation:
75/n where N is representing pie. We have to divide pie to find the diameter.
75/3.14= 24 Now we know the diameter is about 24 so we will divide by 2 to find the radius.
24/2=12
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
need answer asap!!!!!!!!!!!
Answers
Answer:
126 degrees
Step-by-step explanation:
A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.
what do I do if thre are 2 middles in a mean
Answers
Answer:
If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.
Mark as brainliest please I need a few more :D
Uma camiseta nº 42 custa R$ 1.200,00 e uma camiseta do mesmo tipo nº46 custa R$ 1.800,00. Comprando-se 4 camisetas nº 42 e 6 camisetas nº 46, qual o preço médio de cada camiseta
Answers
Step-by-step explanation:
fffggy nu fjxjxjxjcjcjdj
please Answer:
lol
Step-by-step explanation:
In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A and B map to C, A and B'after the dilation. What
is the length of CB? Use the distance formula to help you decide: d = (x2-x)+(y2 - y.)?
18+
164
A = (8.15)
B = (12, 13)
12
101
C = (8.10)
Answers
The length of line segment CB is 5 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Given that, A=(8, 15), B = (12, 13) and C = (8, 10)
Here, substitute (x₁, y₁)= (8, 10) and (x₂, y₂)=(12, 13) in distance formula, we get
CB = √[(12-8)²+(13-10)²]
= √(4²+3²)
= √(16+9)
= √25
CB= 5 units
Therefore, the length of CB is 5 units.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ7
Please help
Find the unknown radius of the circle. A measures 628 sq cm find r
Answers
Answer:
14.14 cm
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^2[/tex]
In order to find the radius you would first have to divide the area of 628 by pi, this gives you 200. This is because by dividing the area by pi it will leave us with the radius squared.
The next step is to find the square root of 200, this gives us 14.14. This is because by finding the square root it will leave us with the radius. The square root is another number that when multiplied by itself equals the number.
1) Divide 628 by pi.
[tex]628/\pi =200[/tex]
2) Find the square root of 200.
[tex]\sqrt{200}=14.14[/tex]
Pi as in 3.14
HURRY STRANGERS PLEASE I REALLY NEED THIS!!! A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company.
Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answers
Answer:
Step-by-step explanation:
Base on my own understanding what should be done is that three stacks will not work, because it wont be a symmetric arrangement and also one will be left out. So, two stacks of five each would be better and easy to carry. But the stacks should be arranged in such a manner that the lengths will be parallel to each other and not in-line which would increase the length making it comparatively very long. its easier to hold a (2*8.5,11,2*5=17,11,17) compact box, because it will be easy to carry a long and not heavy.
Which statements describe the sequence -3,5,-7,9,11...? Check all that apply
Answers
Answer:
number series puzzele??
Step-by-step explanation:
Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED)
T= 4 π/3
Sin t=
Cos t=
Tan t=
Csc t=
Sec t=
Cot t=
Answers
Answer:
Step-by-step explanation:
sin= - square root 3/2
cos= -1/2
tan= square root 3
csc= -2 square root 3/2
sec= -2
cot= square root3/4
Answer:
[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]
We first find the corresponding angle of 4π/3.
[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.
[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Learn more: https://brainly.com/question/12356025
Solve for s.
9s = –10 + 10s
s = __
Answers
Answer:
10
Step-by-step explanation:
9s=-10+10s
Add 10 on both sides,
9s+10=-10+10s+1
9s+10=10s
Subtract 9s on both sides,
9s+10-9s=10s-9s
10=s
Therefore,s=10
PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.
Answers
You answer would be 27, if I did my maths correct.
You get 27 by doing:
9*4=36
36-9=27
Correct me if I am wrong thank you!
Answer:
At first I got 39 but then I redid it and got 27!
pls help will mark as brainliest
Answers
Answer:
C F
Step-by-step explanation:
Answer:
2/10 is equivalent to 1:5
6:30 is equivalent to 1:5
8 to 40 is equivalent to 1:5
Step-by-step explanation:
RUNNING OUT TIME SOMEONE HELP! :)
Answers
Answer:
top right
Step-by-step explanation:
linear function means straight line
The only function that is a straight line is the top right
Answer:
Upper Right
Step-by-step explanation:
A linear function is a line
AL
What is the measure of <R?
74°
92
R
B
Do
Answers
Answer:
74
Step-by-step explanation:
It would be 74 because use the concept of vertical angels to help you find out whatm it is going to be.
Hope this helps!
Which graph represents this system?
3x+2y=-6
y=-x+2
2
Answers
Answer:
Look at the attched image
Hope it helped, mark as brainliest please :)
Which ordered pair is a solution of the equation?
2x + 4y = 6x - y
a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither
pls answer
ill mark brainliest
Answers
Answer:
b. only 5,4
Step-by-step explanation:
22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x
Answers
math help pls, will reward.
Answers
Answer:
6. B
7. A
8. A
9. A
Step-by-step explanation:
6. As x approaches ∞ (as x goes to the right), y approaches ∞ (y goes up).
7. f(x) = -x⁴ + 5x³ − 2x + 5
The leading coefficient is negative, and the highest power is 4 which is even. So as x→-∞, f(x)→-∞, and as x→∞, f(x)→-∞.
8. The roots are 3, -4, and 1, so the polynomial is:
f(x) = (x − 3) (x − (-4)) (x − 1)
f(x) = (x − 3) (x + 4) (x − 1)
9. The roots are 0 (multiplicity of 1), 1 (multiplicity of 2), and -2 (multiplicity of 2).
f(x) = (x − 0)¹ (x − 1)² (x − (-2))²
f(x) = x (x − 1)² (x + 2)²
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answers
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?
Answers
Answer:
A - school certificates
B - college degrees
So 30 - (10 + 8 + 2) = 10 have no qualification
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g - 1)(3)?
O9-3-(4 + 3)2
6 -3 - (4 – 32)
6(3) - 4 + 32
6(3) - 4-32
ОО
Answers
Given a cylinder with a surface area of 2532 cm (squared) and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.
A. 36 cm
B. 282.6 cm
C. 45
D. 10
Answers
Answer:
A. 36.4cm = h
Step-by-step explanation:
A=2πrh+2πr² This is the equation to find the surface area of a cylinder
2532 = 2π(9)h + 2π(9)² Multiply
2532 = 18πh + 2π(81) Multiply
2532 = 56.55h + 162π Multiply
2532 = 56.55h + 508.94
-508.94 - 508.94 Subtract 508.94 from both sides
2023.06 = 56.55h Divide both sides by 56.55
36.4cm = h
If this answer is correct, please make me Brainliest!
Please help me I have to go to a class and I need this fast
Answers
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?
Answers
Answer:
(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
The storage box shown has these dimensions.
length: foot width: foot height: foot
What is the volume of the box?
1 cubic feet
cubic foot
1 cubic foot
A
11/foot
1 cubic foot
foot-
Answers
Answer: 1 3/4 cubic feet
Step-by-step explanation:
1234567890
Answer:
a
Step-by-step explanation:
5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answers
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
