Answer:
The answer is
[tex]y = \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
Remmeber:
[tex]Slope = \frac{rise}{run} [/tex]
Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represent the first number and let y represent the second number. What is the value of the first number? Use the table to guess and check.
Step-by-step explanation:
x+y=40
y=2x-5
[tex]x = 40 - y \\ y = 2(40 - y) -5 \\ y = 80 - 2y - 5 \\ 3y = 75 \\ y =25 \\ x = 40 - y \\ x = 15[/tex]
if the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is
Answer:
10cm^2
Step-by-step explanation:
The parallel sides of a parallelogram is 2cm apart
Their sum is 10cm
Therefore the area can be calculated as follows
= 2 ×10/2
= 20/2
= 10 cm^2
Hence the area is 10cm^2
calculate the distance between the two points shown on the graph below give your answer correct to 2 decimal places if necessary
Answer:
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=
=16+9−−−−−√=25−−√=5
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
(x1+x22,y1+y22)
Which expression gives the distance between the points
(2,3) and (4, -3)?
O A. (2-4)* +(3+3)
O B. (2-3)* +(4+3)?
C. (2-4)2 + (3+3)2
O D. (2-3)* +(4 +3)
SUBMIT
Answer:
C
Step-by-step explanation:
The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is
d = √[(x2 - x1)² + (y2 - y1)²]
Here (x2, y2) = (2, 3) and (x1, y1) = (4, -3)
Plugging them gives us
d = √[(2 - 4)² + (3 - (-3))²]
d = √[(2 - 4)² + (3 + 3)²]
You have a 12 inch ruler being used as a miniature seesaw. A pencil is placed under the 4 inch mark. A weight is placed at the 2 inch mark that balances the seesaw. Now the uneven seesaw is balanced. if you then placed a pencil at the 12 inch end, how many similar pencils approximately will you need to place at the other 1 inch end to get a balance again?
Answer:
The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils
Step-by-step explanation:
The given parameters are;
The length of the ruler used as a seesaw = 12 inch
The location where the pencil is placed = Under the 4 inch mark
The location where the weight is placed to balance the seesaw = The 2 inch mark
Therefore, the pencil at the 4 inch mark is fulcrum
The location where a pencil is placed on the ruler = The 12 inch end
The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;
The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches
The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches
Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;
The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches
x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)
x = 8/3 = 2.[tex]\overline 6[/tex] ≈ 3 pencils
The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.
Element X decays radioactively with a half life of 6 minutes. If there are 260 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 113 grams
Answer:
7.2 minutes
Step-by-step explanation:
The formula to find the time using the radioactive decay rate formula is given as:
t = t½ × In(Nt/No)/-In2
Where
t½ = half life = 6 minutes
No = Initial Amount = 260 grams
Nt = Amount after decay
= 113 grams
Hence:
t = 6 × In(113/260)/-In2
t = 7.2131331036796 minutes
Approximately = 7.2 minutes
what's is the square root of -1
-i
i
-1
1
Answer:
see explanation
Step-by-step explanation:
The [tex]\sqrt{-1}[/tex] = i
Answer:
The answer is I / Option B
Step-by-step explanation:
Helppppp!!! Please I need it now
Answer:
(6,9)
Step-by-step explanation:
. 3(s - 8) + -13 = 5
When you reverse the digits in a certain 2 digit number you decrease its value by 81. What is the number if the sum of its digits is 9?
Answer: 90 is a number which has 9 as the sum of its digits, 9+0=9 and if the digits are reversed, 09 is 81 less than 90.
Step-by-step explanation: Since the number must be a 2-digit number, it seems that 90 is the only number that qualifies.
If you need some equations, here is a way to set up a system to solve:
x+y= 9 rewrite to get a value for y to substitute:
y = 9-x
10x +y = 10y + x + 81 rewrite by moving (subtracting variable terms from both sides)
10x -x + y-10y = 81 combine like terms
9x - 9y = 81
Substitute for y and solve for x
9x - 9(9-x)= 81 distribute.
9x - 81 + 9x = 81
18x = 162. 162/18 = 9
x = 9
Substitute in the original equation to solve for y
9 + y = 9
y = 0
10(9) + 0 = 10(0) + 9 +81
90 - 81 = 09
Can you please help? :)
an object is dropped from the too of a tower with a height of 1120 feet. neglecting air resistance, the height of the object at a time t seconds is given by the polynomial
I Need Help!! Its Homework
Find the volume of a right circular cone that has a height of 16 m and a base with a
circumference of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
The volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m is 3,620.62 m³
Step-by-step explanation:
The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.
The volume of a 3-dimensional solid is the amount of space it occupies.
The volume V of a cone with radius r is one-third the area of the base B times the height h. This is:
[tex]V=\frac{1}{3}*A*h[/tex]
where A=π*r²
Then: V=[tex]\frac{1}{3}[/tex] *π*r²*h
In this case r=14.7 m and h=16 m. Replacing:
V=[tex]\frac{1}{3}[/tex] *π*(14.7 m)²*16 m
Solving, you get:
V=3,620.62 m³
The volume of a right circular cone that has a height of 16 m and a base with a circumference of 14.7 m is 3,620.62 m³
Which graph represents the equation below f(x)=-(x+1)(x-3)
Answer:
The answer is "A" (1,4)
Step-by-step explanation:
Got it correct on the test.
Hi,
The file attached shows the correct answer:
Graph A would be the correct answer.
Graph A has a vertex of (1,4)
XD
Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?
Answer:
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Step-by-step explanation:
Let the age of Alicia be x
Let the age of Quentin be y
Let the age of Rosalyn be z
If the sum of the siblings’ ages, in years, is 48 then;
x+y+z = 48.... 1
If Rosalyn is two years older than Quentin then;
z =y+2 ..... 2
Also if Quentin is four years younger than Alicia then;
y = x-4 ... 3
From 3:
x = y+4 ... 4
Substitute 2 and 4 into 1 to have:
y+4+y+y+2 = 48
3y + 6= 48
3y = 48-6
3y= 42
y = 14
Since x= y+4
x = 14+4
x = 18
Since z = y+2
z = 14+2
z = 16year
This means that;
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
what is the slope of (-3,5) and (2,0)
Answer:
is there anymore to the question?
Step-by-step explanation:
I need help solve and explain it plz and this you will get 20 points
Answer:
Y=-1
Step-by-step explanation:
-4(y-2)
-4y+8=12
-8. -8
-4y=4
-4. -4
y=-1
Answer: Y = -1
Step-by-step explanation:
This is solved using the distributive property.
1. Distribute, so now it should look like -4y + 8 = 12
2. Now subtract the 8 from both sides to isolate -4y = 4
3. Divide -4 on both sides to get y = -1
M/6 = -9
answer m=?
Answer the ? Mark pls
Answer:
[tex]\frac{m}{6}[/tex] = -9 6 × (-9) = -54
Step-by-step explanation:
What is the equation of the line in slope-intercept form
Answer:
y = -3/5x - 2
Determine the perimeter of a rectangle with a length of 6 inches and a width of 1 foot.
O 14 inches
O7 inches
O 36 inches
O 18 inches
Answer:
36
Step-by-step explanation:
don’t mind my crusty computer
Answer:
Okay
Step-by-step explanation:
Answer:
R.I.P adrians hat
Step-by-step explanation:
Plz can someone help me w/ this! ^_^
Answer: it would be a
Step-by-step explanation:
from my understanding you look at the sides and a traingale has 360 in total of the area.
so
Two glasses contain orange juice.
A 400ml glass is 40% full.
A 300ml glass is half full.
Which glass contains less orange juice?
Plz give explanation too
Step-by-step explanation:
Amount of orange juice in 400ml glass
= 400ml * (40%/100%) = 160ml.
Amount of orange juice in 300ml glass
= 300ml * (1/2) = 150ml.
Since 150ml < 160ml, the 300ml glass contains less orange juice.
The second glass has less amount of orange juice.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Two glasses contain orange juice.
⇒ A 400ml glass is 40% full.
⇒ A 300ml glass is half full.
Now,
Since, Two glasses contain orange juice.
A 400ml glass is 40% full.
A 300ml glass is half full.
Hence, The amount of juice in first glass is,
⇒ 40% of 400
⇒ 40/100 × 400
⇒ 160 ml
And, The amount of juice in second glass is,
⇒ 300 / 2
⇒ 150 ml
Hence, The second glass has less amount of orange juice.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Molly bought a pair of gloves and a skirt.
The gloves cost £4
She sold the gloves and the skirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Give your answer to 1 decimal place.
Answer:
U think it's 2.4
Step-by-step explanation:
.48 ÷by 4 =2
20% of 12=2.4
Can anyone solve this for me? Ty:)
Answer:
2x^2 + 6x + 2
Step-by-step explanation:
5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =
= 5 + 3x - x^2 + 3x^2 + 3x - 3
= 2x^2 + 6x + 2
You'd like your pendulum to take 20 seconds to complete a cycle. How long will the pendulum need to be? Is this reasonable in your building, which is planned to be 20 feet high
Answer:
It would need to be 324.23 feet high (not reasonable)
Step-by-step explanation:
If you plug it into the pendulum formula given T = 2 π √(L/32), all you would have to do is set T=20 and solve for L
You would end up getting 3200/(π²)
this is equal to 324.227
This was the formula given to me by the assignment, not sure if it is the same on yours. Good luck! ;)
Solve the inequality -20 < 10n
Answer:
n>-2
Step-by-step explanation:
What is 700,000+9,000+60+7 in Standard form
Answer:
709,067
Step-by-step explanation:
add them together from greatest to least