=======================================================
Explanation:
The range is {2, -1, 5, -8, 9} which sorts to {-8, -1, 2, 5, 9}. This is the set of y coordinates of the points given. Each point is of the form (x,y).
Since the domain and range are the same set in this case, we must have those value mentioned as x coordinates of the points.
The domain is the set of x coordinates of the points given.
The values -8, -1, 2, and 9 are already used as x coordinates. The only thing missing is the 5.
(x - 6)². Multiply it and simplify it
Answer:
x^2-12x+36
Step-by-step explanation:
The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.
what is the value of y in this triangle?
Answer:
26 degrees.
Step-by-step explanation:
The angles of triangles will always add up to 180 degrees.
The first angle is 50 degrees.
The second angle, is shown with a 76 degree angle next to it.
Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.
104 + 50 = 154 degrees.
The remaining 26 degrees is the answer to the value of y.
Look at the following sequence.
54, 36, 24, 16, . . .
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”
Answer:
[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]
Step-by-step explanation:
Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]
We simplify the fractions:[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]
Since the ratio is the same, that is the common ratio.
MissSpanishHow do you write 9.085 x 10-9 in standard form?
Answer: 0.000000009085
Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!
A cyclist set out from a town P on a bearing of to a town Q, 5 km away. He then moves on a bearing of to a town R, 6km from Q.
1. Represent the information on a diagram
Calculate, correct to two decimal places
2. the bearing of R from P
3. |PR|
The bearing of R from P is 019 and the distance |PR| is 8.75
The complete questionA cyclist set out from a town P on a bearing of 060 to a town Q, 5 km away. He then moves on a bearing of 345 to a town R, 6km from Q.
The diagram that represents the informationSee attachment
The bearing of R from PStart by calculating the distance PR using the following cosine ratio
PR² = PQ² + QR² - 2 * PQ * PR cos(Q)
Substitute known values
PR² = 5² + 6² - 2 * 5 * 6 cos(105)
Evaluate
PR² = 76.53
Take the square root of both sides
PR = 8.75
Next, calculate angle R using the following sine ratio
PQ/sin(R) = PR/sin(Q)
Substitute known values
5/sin(R) = 8.75/sin(105)
Evaluate the quotient
5/sin(R) = 9.06
Multiply both sides by sin(R)
9.06 * sin(R) = 5
Divide both sides by 9.06
sin(R) = 0.5519
Take the arc sin of both sides
R = sin⁻¹(0.5519)
Evaluate
R = 34
Calculate angle P using:
P = 180 - 34 - 105
P = 41
The bearing of R from P is then calculated as:
Bearing = 060 - 41
Evaluate
Bearing = 019
Hence, the bearing of R from P is 019
The distance |PR|In (b), we have:
PR = 8.75
Hence, the distance |PR| is 8.75
Read more about bearing and distance at:
https://brainly.com/question/15221233
#SPJ1
Pls help!! I will give brainliest!! And no links pls!!!
Answer:
20 for $8
Step-by-step explanation:
Find the perimeter.
Perimeter = [?]
Simplify your answer completely.
Answer:
119 4/7
Step-by-step explanation:
Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:
35+10+12+15+24+12+10=118
Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)
6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14
Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.
This means that our answer is 119 8/14 or 119 4/7
Please Help!!!! Someone who actually knows how to do this, no guessers I only have one more attempt. I can’t figure out the answer and if I don’t get it right I won’t get my credit recovery. I already eliminated 2 answers.
Answer:
4
Step-by-step explanation:
A fundamental theorem of algebra, the degree of a polynomial is the maximum number of roots the polynomial has.
The degree of the polynomial s 4 so it has 4 roots.
-2 1/2*3 1/3=
What does this equal to
Answer:-8.3
Step-by-step explanation:-8.3
Answer:
-8.3333333333
Step-by-step explanation:
First you want to start by multiplying (-2) * 3.
Next you want to multiply 1/2 * 1/3
Finally you add you answers together to get what you need.
Also this was very very very easy so go to summer school if you are this dum.
What is the distance around the perimeter of the garden? 60 ft 60 startroot 3 endroot ft 120 ft 120 startroot 3 endroot ft
The distance around the perimeter would be 120 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
Learn more about this concept here:
https://brainly.com/question/16400817
#SPJ1
Answer:A
Step-by-step explanation: just took it
Given f (x) = -3 + 5, solve for x when f (x) = -4
The value of x when f(x) = -4 is 3
How to solve the function?The function is given as:
f(x) = -3x + 5
When f(x) = -4, we have:
-4 = -3x + 5
Subtract 5 from both sides
-3x = -9
Divide both sides by -3
x = 3
Hence, the value of x when f(x) = -4 is 3
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
Answer:
x = 3
Step-by-step explanation:
Hello!
Think of this as a linear equation: y = -3x + 4.
If f(x) = -4, it means that y = -4.
Plug in the value for y and solve for x.
Solvef(x) = -3x + 5y = -3x + 5-4 = -3x + 5-9 = -3x3 = xThe value of x is 3.
Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.” Will Scott have enough ribbon? Explain your answer
Answer:
i don't know
Step-by-step explanation:
i don't know
The diagonals of a trapezoid are 15 cm and 13 cm. The height is 12 cm. Find the area of the trapezoid.
Answer:
the area is 168
Step-by-step explanation:
the formula for trapezoids is a+b/2 multiplied by the height
Help now!!!!!!
the scale factor of the larger of two similar rectangular prisms is 1/8. the surface area of the larger prism is 740 ft2. identify the surface area, rounded to the nearest tenth, of the smaller prism
Answer:
11.6 ft²
Step-by-step explanation:
We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.
__
The ratio of areas will be ...
smaller area / larger area = (scale factor)²
smaller area = (larger area)×(scale factor)² . . . multiply by the denominator
smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values
The surface area of the smaller prism is about 11.6 square feet.
Please help me answer this question (file attached) and share how you got the final answer.
Thank you! I appreciate your help!
When the height of the prism doubles, the percentage increase in the volume is 100%
How to determine the percentage increase?The volume of a prism is:
V₁ = BH
Where:
B represents the base area and H represents the height.
When the height doubles, the volume becomes
V₂ = 2BH
The percentage increase is then calculated using:
%Increase = (V₂ - V₁)/V₁
So, we have:
%Increase = (2BH - BH)/BH
Evaluate
%Increase = 1
Express as percentage
%Increase = 100%
Hence, the percentage increase is 100%
Read more about volume at:
https://brainly.com/question/1972490
#SPJ1
A airplane can hold 62 gallons of diesel.For each kilogram traveled, the airplane used 1/15 of kilograms of diesel. How far can the airplane go before it runs out of diesel?
The distance the airplane can travel before it runs out of diesel is 15.67.
What is the distance the plane can travel?The first step is to convert gallon to kilogram
1 gallon = 3.79 kg
62 x 3.79 = 234.98 kg
Now, divide 234.98 by 15.: 234 . 98 / 15 = 15.67 kilogram
To learn how to convert units, please check: https://brainly.com/question/25993533
#SPJ1
50 PTS! SUPER EASY 9TH GRADE GEO
- FIND THE AREA
half the diagonal is shown as 20cm.
The full diagonal would be 20 x 2 = 40 cm.
area of a square using the diagonal is 1/2 x diagonal^2
Area = 1/2 x 40^2 = 800 square cm
answer: 800 square cm.
Fill in the blank. using decimals write the number 348.562 in expanded form:
348.562 =
Answer / Step-by-step explanation:
(300.500+40.60+8.2)=348.562
Find the midpoint of (6, 4) and (0,2).
Answer: Hope this helps you.
1,3
Step-by-step explanation:
(6, 4) and (0,2)
4-2/6-0 =2,6 (1,3)
Step-by-step explanation:
please mark me as brainlest
Geometry triangle question
Answer:
Step-by-step explanation:
Answer:
x = 44 1/3°4x = 177 1/3°2x = 88 2/3°Step-by-step explanation:
The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.
__
interior anglesThe interior angle at the right end of the line is the supplement of 4x:
180° -4x
The interior angle at the left end of the line is the supplement of 2x:
180° -2x
angle sum86° +(180° -4x) +(180° -2x) = 180°
Then the solution to the triangle is ...
266° = 6x . . . . . . . . . add 6x-180°
x = 266°/6 = 44 1/3° . . . . . divide by 6
exterior angle 4x = 177 1/3°exterior angle 2x = 88 2/3°interior left side angle 180° -88 2/3° = 91 1/3°interior right side angle: 180° -177 1/3° = 2 2/3°Use synthetic division to evaluate (3x2 − 6x + 3) ÷ (x − 1). 3x − 9 3x2 − 3x 3x − 3 3x2 − 6
Answer:
[tex]\frac{\left(3x^2-6x+3\right)}{\left(x-1\right)3x-93x^2-3x^3x-33x^2-6}: -\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
[tex]\frac{3x^2-6x+3}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{-3\left(x^4+41x^2+x+2\right)}[/tex]
[tex]\frac{\left(x-1\right)^2}{-\left(x^4+41x^2+x+2\right)}[/tex]
[tex]-\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
Answer:
3x-3
Step-by-step explanation:
use synthetic division
A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm
by 4 cm by 8 cm. The density of each brick is 3 g/cm'. What is the mass of each brick?
If the volume of each brick will be 64 cubic centimeters. Then the mass of each brick will be 192 grams.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
mass = density × volume
A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm by 4 cm by 8 cm.
The density of each brick is 3 g/cm³.
Then the mass of each brick will be
The volume of each brick will be
V = 2 x 4 x 8
V = 64 cm³
Then the mass will be
m = 3 x 64
m = 192 gram
To learn more about the density refer to the link;
brainly.com/question/952755
#SPJ1
Please Help Me With This.
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
[refer to attachment for question] ~
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
✫ First of all, Slope-intercept form is written as follows:-
[tex]\longmapsto\Large\textbf{y=mx+b}[/tex]
Where:-
m = slope ;b = y-interceptTo find:-
The equation of the line
Solving,
Replace m with -1/5 And b with -3:-
[tex]\large\text{$y=-\displaystyle\frac{1}{5} x-3$}[/tex]
[tex]\Uparrow[/tex] [tex]\sf{the\:equation}[/tex]
Good luck with your studies. [tex]\ddot\smile[/tex]#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
please help!!!!!!!!!
All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.
Now, For all the statements al the correct postulate are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
Thus, All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
(6x −9)3−1=((6x−9)3)(0) Solve for X
Answer:
Step-by-step explanation:
Remark
Anything multiplied by 0 = 0. So the whole right side is 0.
(6x - 9)*3 - 1 = 0 Add 1 to both sides.
(6x - 9)*3 - 1 + 1 = 0 + 1 Combine
(6x - 9)*3 = 1 Divide both sides by 3
(6x - 9)*3/3 = 1/3 Simplify
(6x - 9) = 1/3 Remove brackets. Add 9 to both sides
6x - 9+9 = 9 1/3 Combine
6x = 9 1/3
6x = 28/3 Divide both sides by 6
6x / 6 = 28/3 // 6 Invert the 6 and multiply.
x = 28/3 * 1/6
x = 28/18
Answer
x = 14/9
3. Combine like terms and apply the
distributive property to create an
equivalent expression.
6y + 2(3x + 5) + 2y + 3 =
8r+ 3r² + 6r² + 2r + r=
Step-by-step explanation:
6y + 2(3x + 5) + 2y + 3 = 8r + 3r² + 6r² + 2r + r
6y + 6x + 10 + 2y + 3 = 9r² + 11r
8y + 6x + 13 = 9r² + 11r
A company models its net income, in thousands of dollars, with the function f(x) = 9x² – 54x – 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?
Answer:
8
Step-by-step explanation:
Income = 0
so 0 = 9x^2 - 54x - 154
you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....
divide both sides of the equation by 9 to get
x^2 -6x -16 = 0 which easily factors to :
(x -8)(x+2) = 0 <===== this shows x = 8 or -2(throw out)
No Solutions
2x+5+2x+3x=
One Solution
2x+5+2x+3x=
Infinitely Many Solutions
2x+5+2x+3x=
Answer:
For no solution,
2x + 9 + 3x + x = 6x
For one solution,
2x + 9 + 3x + x = 15
For infinitely many solutions,
2x + 9 + 3x + x = 6x + 9
Step-by-step explanation:
Step-by-step explanation:
1. 2x + 9 + 3x + x = 6x
6x + 9 = 6x
Subtract 6x from both sides,
9 = 0 which is absurd and hence the equation has no solution.
2. 2x + 9 + 3x + x = 15
6x + 9 = 15
Subtract 9 from both sides.
6x = 6
Divide both sides by 6.
x = 1 and this is the only solution.
3. 2x + 9 + 3x + x = 6x + 9
6x + 9 = 6x + 9
Subtract 6x from both sides,
9 = 9, both sides are balanced which means, the equation has infinitely many solutions.
First simplify
2x+5+2x+3x7x+5#No solution
7x+5=7x-3#One solution
7x+5=5x+2#Infinitely many solution
7x+5=7x+5Does anyone know the answer to this ?
Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?
Rate
(Rooms per Hour)
Time
(Hours)
Fraction Completed
Layna
One-fourth
Bebe
One-seventh
One-fourth t + one-seventh t = 1
One-fourth t times one-seventh t = 1
4 t + 7 t = 1
4 t minus 7 t = 1
The equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.
Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :
[tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex]
Further solving it we get;
7 t + 4 t = 28
11t = 28
t = 2.5 hours.
Therefore the equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1