Answer:
y = -⁴/₅x + 14Step-by-step explanation:
Changing to slope-intercept form:
-10x + 8y = 3 {add 10x to both sides}
8y = 10x + 3 {divide both sides by 8}
y = ⁵/₄x + ³/₈
Two lines are perpendicular if the product of their slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
y = ⁵/₄x + ³/₈ ⇒ m₁=⁵/₄
⁵/₄×m₂ = -1 ⇒ m₂ = -⁴/₅
The line y=-⁴/₅x+b passes through point (15, 2) so the equation:
2 = -⁴/₅×15 + b must be true
2 = -12 + b
b = 14
Therefore equation in slope-intercept form:
y = -⁴/₅x + 14
Can you please help? :)
Solve the inequality -20 < 10n
Answer:
n>-2
Step-by-step explanation:
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]
I Need Help!! Its Homework
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! ;)
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
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
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Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
M/6 = -9
answer m=?
Answer the ? Mark pls
Answer:
[tex]\frac{m}{6}[/tex] = -9 6 × (-9) = -54
Step-by-step explanation:
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
A leaking faucet drips into a bucket. The faucet drips at a constant rate. The level of water in the bucket rises
3 inches in 6 hours. What was the rate per hour of the water level change?
Answer:
The per hour rate is 0.5 inches per hour
Step-by-step explanation:
Here, we want to calculate the rate at which the level of the water increased
Mathematically, we can get this by dividing the amount of increment by the time it took
That would be 3 inches divided by 6 hours
= 3/6 = 0.5 inches per hour
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]
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:
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
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
A: x/8=3/4
B: 2/5=x/40
C: 1/8=x/40
D:x/10=12/15
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 are the possible names of the angle shown here? Select all that apply.
Angle2
AngleRTS
AngleTSR
AngleR
AngleRST
Answer:
a c e
Step-by-step explanation:
Answer:
a c e is correct
Step-by-step explanation:
. 3(s - 8) + -13 = 5
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 equation of the line in slope-intercept form
Answer:
y = -3/5x - 2
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
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)
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
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:
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
don’t mind my crusty computer
Answer:
Okay
Step-by-step explanation:
Answer:
R.I.P adrians hat
Step-by-step explanation:
Helppppp!!! Please I need it now
Answer:
(6,9)
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
What is 2/5 divided 1/3
Answer:
1.33
Step-by-step explanation:
Answer:
1 and 1/5
Step-by-step explanation:
2/5 divided by 1/3, so keep change flip applies to this so keep 2/5 change division to multiplication and flip 1/3 to 3/1 that changes the equation to 2/5 times 3/1 and that equals 1 and 1/5