Answer:
y = -1 and u = 3.333
Step-by-step explanation:
The given equations are :
3u + y = 9 ...(1)
3u-5y = 15 ...(2)
Subtract equation (2) from (1).
3u + y-( 3u-5y)= 9 -15
y+5y = -6
6y = -6
y = -1
Put the value of y in equation (1).
3u + (-1) = 9
3u-1 = 9
3u = 10
u = 10/3
u = 3.333
The attached figure shows the graph for the above equations.
don’t answer if you don’t know
Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4
Answer:
5
Step-by-step explanation:
The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) . The generic equation for point-slope form is y−y1=m(x−x1) , where m is the slope and x1 and y1 are the given point.
Match the ratios for sin X cos x and tan X
Answer:
Step-by-step explanation:
The trigonometric function gives the ratio of different sides of a right-angle triangle.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
Given for ∠X, the base side is 7, the perpendicular side is 4√2, while the hypotenuse side is 9. Therefore, the value of the trigonometric ratios are:
[tex]\rm Sin X=\dfrac{4\sqrt2}{9}\\\\\\Cos X=\dfrac{7}{9}\\\\\\tan X=\dfrac{4\sqrt2}{7}[/tex]
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ2
It takes 3 cleaners 4 hours to clean a room, how long would it take 4 people to clean the same room at the same rate? (Ratio)
Answer:
3 hoursStep-by-step explanation:
Let the number of cleaners be x
Let the time taken be y
This relationship is inverse
x = k/y
If x = 3 and y = 4
3 = k/4
k = 3*4
k = 12
To get the time it will take 4 people, we will substitute k = 12 and x = 4 into the expression x = k/y
x = 12/4
x = 3
Hence it will take 4 people 3 hours at the same rate
If x+3/3=y+2/2 then x/3 =
Answer:
= y/2
Step-by-step explanation:
(x+3)/3 = (y+2)/2
x/3 + 1 = (y+2)/2
x/3 = (y+2)/2 - 1
= (y+2-2)/2
= y/2
hope this helped(:
y/6 - 7 = 4 please explain how to solve
Answer:
y=66
Step-by-step explanation:
will mark the best awnser :)
Answer:
15 square feet
Step-by-step explanation:
Please answer these 4 questions for 40 points:
If your travel rate is 250 miles in 5 hours, how many miles can you travel in 10 hours?
Given your rate of 480 miles in 8 hours, what is your average speed or unit rate?
Given the unit rate of $4.00 per pound of chocolates, what is the cost of 15 pounds of chocolates?
What is the equivalent ratio for 3:6
Answer:
1)500
2)60
3)$60
4)this i don't know sorry
Inez has $72 to buy video games each game costs $9 how many video games can Inez buy
Answer:
8
Step-by-step explanation:
1 video game = 9
? = 72
72/9=8
Answer:
8
Step-by-step explanation:
i need help due asap
Step-by-step explanation
the third one
Step-by-step explanation:
Let's solve for y.
8x−3y>11
Step 1: Add -8x to both sides.
8x−3y+−8x>11 −8x −3y>−8x+11
Step 2: Divide both sides by -3.
−3y/−3 > −8x+11/−3
y<8/3x−11/3
Answer:
y<8/3x−11/3
A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)
Answer:
The amount of metal recovered at the eight pass is approximately 4.27 kg
Step-by-step explanation:
The mass of metal recovered formed the following geometric sequence;
32 kg, 24 kg, 18 kg, 13.5 kg
∴ The first term, a = 32 kg
The common ratio in the geometric sequence is found as follows;
r = a·r/a = 24 kg/(32 kg) = 0.75
r = a·r²/a·r = 18 kg/(24 kg) = 0.75
r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75
The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;
nth term = a·rⁿ⁻¹
a = 32, r = 0.75, n = 8
∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27
The amount of metal recovered at the eight pass ≈ 4.27 kg.
The eight term of the geometric sequence is 4.27.
Geometric sequenceA geometric sequence is in the form:
aₙ = ar⁽ⁿ⁻¹⁾
where aₙ is the nth term, a is the first term and r is the common difference.
Given that a = 32, r = 24/32 = 0.75
The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27
The eight term of the geometric sequence is 4.27.
Find out more on Geometric sequence at: https://brainly.com/question/9300199
9x - 5 =12
what is x?
Answer: x = 17/9
Step-by-step explanation: Lets solve for x.
9x - 5 = 12
9x - 5 + 5 = 12 + 5
9x = 17
9x/9 = 17/9
x = 17/9
An item is regularly priced at $83. It is now priced at a discount of 55% off the regular price.
Answer:
$45.65 total
Step-by-step explanation:
Answer:
45.65
Step-by-step explanation:
What is the area of a circle with a radius of 1/2 inch?
Answer:
you do 1/2(.5) times itself, times 3.14= 0.785
Step-by-step explanation:
Answer: B
Step-by-step explanation:
I did it.
Find the missing sides of the triangle. Leave your answers in simplest radical form.
Answer5
34
Step-by-step explanation: 45
Is 14 19 23 a right triangle
Answer:no
Step-by-step explanation: because it is an acute triangle
Find the value of a, b, c,
and d.
76
to the document will
32
go to (1,1)
go to (-5, 1)
a a = 32, b = 26, C = 104, d = 90
b) a = 76, b = 52, c = 90, d = 90
c) a = 38, b = 52, c= 90, d = 90
d) a = 38, b = 52, c = 104, d = 90
e) a = 76, b = 26, C = 104, d = 180
go to (0, 2)
go to (7,0)
go to (-3,2)
Answer:
The answer is D
Step-by-step explanation:
1.Angle D is 90 becuase any angle inscribed in a semi circle is a right angle.
2.Since c and 76 form a semi-circle. They add up to 180 so c=104.
3.Angle A is a inscribed angle of arc 76. So that means angle A is half of the arc 76.
Angle A=38.
4. Angle B can be found two ways,
Using triangle interior theorem, since we know 90 and 38 as our given degree, a triangle has 180 degrees, so our third angle ,b will add up to 180 so it will be 52.Angle b is a inscribed angle of arc c so it is half of arc C or 104. Angle B=52D is the answer
***PLEASE HURRY***
***WILL MARK BRAINLEST***
Find the y-intercept for the parabola defined by this equation: y = -x^2 - 2x + 3 separate the values with a comma
Answer:
y-intercept is (0, 3)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
ill mark brainlist plss help
Answer:
60%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3/5 is the same as 6/10. All percentages are out of 100% so you have to change the denominater to 100. Do do that you just add a 0 to the numerator and demoninator. i.e. 60/100. which is translated to 60%.
Can anyone help solve these equations using the elimination method
Step-by-step explanation:
dear by changing the sign by elimination method everything gets cancelled
Given:
The system of equation is
[tex]15x+12y=18[/tex]
[tex]5x+4y=6[/tex]
To find:
The solution of given system of equations by using elimination method.
Solution:
We have,
[tex]15x+12y=18[/tex] ...(i)
[tex]5x+4y=6[/tex] ...(ii)
Multiply equation (ii) by 3.
[tex]3(5x+4y)=3(6)[/tex]
[tex]3(5x)+3(4y)=18[/tex]
[tex]15x+12y=18[/tex] ...(iii)
After subtracting (iii) from (i), we get
[tex](15x+12y)-(15x+12y)=18-18[/tex]
[tex]15x+12y-15x-12y=0[/tex]
[tex]0=0[/tex]
This statement is true for all values of x and y. So, the given system of equations has infinitely many solutions and both equations represents coincident lines.
What two numbers have a product of -49 and a sum of 0?
Answer: -7 and 7
Step-by-step explanation:
-7*7= -49
and -7+7=0
Answer:
-7 X 7 and 7 + -7
Step-by-step explanation: its just basic math, i can go in depth in the comment if you want.
Anyone know the correct answer to this?
Answer:
It should be y=4x-7
Step-by-step explanation:
M is the slope meaning Δx over Δy or rise over run
So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.
B is the y- intercept so then it would just be -7.
9514 1404 393Answer:
y=4x-6
Step-by-step explanation:
The line intersects the y-axis at y=-6, so that is the value of 'b' in the slope-intercept form.
The horizontal difference between marked points is 1 unit; the vertical difference is 4 units. That means the slope is . . .
m = rise/run = 4/1 = 4
Filling in these values (m=4, b=-6), we get ...
y = 4x -6
The volume of the rectangular pyramid is ___ cubic units.
Answer:
600 cubic units.
Step-by-step explanation:
The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.
Determine whether the relation is a function
can someone help me please? if you dont know it please dont write i dont know as an answer. thank you :)
HELP PLEASE!!!!!!!!!!
Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?
Which is parallel to the following y=2x+1
a. Y=2x +5
B. Y- =4 (x+1)
C, Y=(-⅓)x +4
D. Y= 3x +7
Answer:
a. y = 2x + 5
Step-by-step explanation:
f two lines are parallel to each other, they have the same slope.
The first line is y = 2x + 1. Its slope is 2.
A line parallel to this one will also have a slope of 2.
a. y = 2x + 5
This line also has a slope of 2. It is a possible choice.b. y = 4(x + 1)
This line has a slope of 4. It will not be parallel.c. y = (-1/3)x + 4
This line has a slope of -1/3. It will not be parallel.d. y = 3x + 7
This line has a slope of 3. It will not be parallel.Therefore, your answer is a. y = 2x + 5.
Hope this helps!
Can someone help? Will mark Brainliest
Answer: The answer is the 3rd one
Step-by-step explanation:
9514 1404 393
Answer:
(d) AE = (32√6)/3
Step-by-step explanation:
The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.
So, we have the side length ratios ...
CE : CD = 2 : √3
BE : CE = √2 : 1
AE : BE = 2 : √3
Then the ratio AE : CE is ...
[tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]
Multiplying by the length of CD, we have ...
AE = (8√3)(4√2)/3
AE = (32√6)/3 . . . . . matches the last choice
pls help me.i need help asap
Answer:
Area of the shaded region = 51 cm²
Step-by-step explanation:
Area of the smaller pentagon ABKHG = 17 cm²
Since, B is the midpoint of side AC,
Scale factor used to enlarge the sides = [tex]\frac{\text{Measure of side AC}}{\text{Measure of side AB}}[/tex]
= [tex]\frac{AC}{\frac{AC}{2}}[/tex]
= 2
Therefore, area scale factor of both the pentagons = (Dimensional scale factor)²
2² = [tex]\frac{\text{Area of AFEDC}}{\text{Area of ABKHG}}[/tex]
4 = [tex]\frac{\text{Area of AFEDC}}{17}[/tex]
Area of bigger pentagon AFEDC = 4 × 17
= 68 cm²
Area of the shaded region = Area of the bigger pentagon - Area of the smaller pentagon
= 68 - 17
= 51 cm²
Of the 60 questions on a test, 24 are multiple choice. What
percent of the questions are multiple choice?
Answer:
40%
Step-by-step explanation:
60 X 40% =24
Answer:
40%
Step-by-step explanation:
Middle school Math!!!
Multiple choice!! ONLY ONE Question!!
Look at the picture these are the answers:
y=2x-1
y=1x+2
y= -1x+2
y= -6/4x+2