Answers
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!
Related Questions
what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?
Answers
Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
What is the sum of -14
and -15?
Answers
Hope it helps !!! Brainliest if it is!!
Answer:
-29
Step-by-step explanation:
(-14) + (-15) =
-14 - 15 =
-29
i’ll give brainliest pls
i need to finish this quickly, i need part a b and c
Answers
C 70
I got it right
The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
Answers
My answer is in the picture
PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help
Answers
Answer:
y = 68
A = 44
Step-by-step explanation:
No matter what may be true, that doesn't look like an a to me.
x = y = 68 x and y are opposite equal sides and are therefore =.
68 + 68 + A = 180 all triangles are 180 degrees.
136 + A = 180 Subtract 136 from both sides
A = 180 - 136
A = 44
what is
[tex] \frac{28}{141} [/tex]
as a percentage
Answers
Answer:
19,86%
Step-by-step explanation:
[tex] \frac{28}{141} = 0.198582[/tex]
➡️ [tex]0.1986[/tex]
➡️ [tex]0.1986 \times \frac{100}{100} [/tex]
➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]
➡️ [tex] \frac{19.86}{100} [/tex]
➡️ [tex] = 19.86\%[/tex] ✅
suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.
Answers
v=t^2-8t+15
It has upper limit 4 and lower limit 2[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]
[tex]\\ \sf\longmapsto s=15.3-18[/tex]
Take it +ve[tex]\\ \sf\longmapsto s=|-2.7|[/tex]
[tex]\\ \sf\longmapsto s=2.7km[/tex]
Which is the solution to the inequality below?
1x + 2 + 5 4
0 -3 < x < -1
no solution
O x < -3
O x > -1 or x < 3
Answers
Answer:
ox,-3
Step-by-step explanation:
the height of each door on the plan is given 1,5cm but the height of each door is 1,92m is an actual size.show that the scale of the house is 1:128
Answers
Answer:
It is.
Step-by-step explanation:
1.5cm is in the plan.
1.92m is in real life.
We need to convert m to cm so 1.92m=192cm
The ratio is 1:128.
1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.
We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):
1.5 : 192 = 1 : 128
Then we multiply the numbers that are in and out of the equation like this:
1.5 * 128 = 192 * 1
192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128
Select the following statement that describes overlapping events.
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond
B. Amanda rolls a three when she needed to roll an even number
C. Amanda understands that she cannot get a black diamond when playing poker
D. Amanda wants a black card so she can have a winning hand, and she receive the two of hearts
Answers
Answer:
Step-by-step explanation:
Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.
The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
What are overlapping events in probability?Events that share one or more outcomes are said to be overlapping events.
How to solve the question?In the question, we are asked for the statements from the given options that describe overlapping events.
To check for overlapping events, we analyze each option as follows:-
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. The receiving of a jack of diamond shows an overlapping event, with the overlapping of the events of getting a jack and getting a diamond.B. Amanda rolls a three when she needed to roll an even number. The rolling of a three when the requirement was to roll an even number doesn't show an overlapping event as three doesn't fall in even numbers.C. Amanda understands that she cannot get a black diamond when playing poker. The event of getting a black diamond is not overlapping as black cards are spades and clubs, and not diamonds.D. Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. The event of receiving two of hearts when the requirement was of a black card is not an overlapping event as two of hearts is not a black card.Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
Learn more about overlapping events at
https://brainly.com/question/17253921
#SPJ2
The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?
Answers
Answer:
64
Step-by-step explanation:
Since each student must get the same amount of chips and water, the ratio of the number of chips to water received by each student is 1:1.
Hence, a maximum of 64 students can be invited to the party, as the bags of chips is lower than that of the number of bottles of water, and we take it as a 64.
In a group 40% like football ,70% like cricket and 30% like both games
Answers
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
[tex]7w+2=3w+94[/tex]
Answers
Answer:
7w+2=3w+94
Subtract 3w from both sides.
7w+2−3w=94
Combine 7w and −3w to get 4w.
4w+2=94
Subtract 2 from both sides.
4w=94−2
Subtract 2 from 94 to get 92.
4w=92
Divide both sides by 4.
w=492
Divide 92 by 4 to get 23.
w=23
Answer:
23
Step-by-step explanation:
7w + 2 = 3w + 94 Subtract 2 from both sides
7w = 3w + 94 - 2
7w = 3w + 92 Subtract 3w from both sides
4w = 92 Divide by 4
w = 92/4
w = 23
In the Cartesian coordinate system, the x-akis is horizontal.
A.True
B. False
Answers
Answer:
A. TrueStep-by-step explanation:
In the Cartesian coordinate system, the x-axis is the horizontal line while y-axis is the parallel line.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
PLssssssss helppppppppppppppppppppppp
Answers
Answer:
6 ft
Step-by-step explanation:
7-15
Dividing decimals
Answers
Answer:
7-15= -8
Step-by-step explanation:
so therefore the other person is correct
which of these is right
Answers
Answer:
A
Step-by-step explanation:
For each point along it goes 1 point up, if it was 4x it'd go 4 points up
Find all points on the x-axis that are 14 units from the point (5, -7)
Answers
Answer:
can you submit the coordinet plane?
Step-by-step explanation:
Reading - Word - Level 1
Vocabulary
Page 21
*
Safety is the number one priority at our trampoline parks.
That's why every session is supervised by our trained staff.
However, we cannot do it alone. We ask that parents and
guardians make sure their children follow our rules.
Informative
Persuasive
Answers
Answer:
crisp, clean, formal, readable
Step-by-step explanation:
Persuasive - safety is number one
Pls give me a brainliest thx
(6, -1) translate
8 units to the right 7 units down
Answers
Step-by-step explanation:
স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা
Answer:
(14,-8)
Step-by-step explanation:
Given (6,-1),
Translating (6,-1) 8 units right and 7 units down,
(6,-1)
=(6+8,-1-7)
=(14,-8)
Please mark brainliest.
ans all these questions please
Answers
Explanation:
a). 7(2x - 3)
= 7(2(4) - 3)
= 7(8 - 3)
= 35
b). (x + y)^2 - 3x
= (4 + 3)^2 - 3(4)
= 49 - 12
= 37
a). 2x x y
= 2(26) x 3b^2
= 52 x 3b^2
= 156b^2
b). mn/k
= 5a^5b x 4ab^3/10a^4b^3
= 20a^6b^3/10a^4b^3
= 2a^2
Answer:
the answer is in picture
Is the product of a rational number and an irrational number always irrational?
Answers
Answer:
The product of any rational number and any irrational number will always be an irrational number.
Step-by-step explanation:
Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes 15 hours for the number of bacteria to increase to 300.
Answers
Answer:
so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours
+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes
Step-by-step explanation:
answer from gauth math
Answer:
22 hours and 30 minutes
Step-by-step explanation:
What is one root of this equation?
2x^-4x+9=0
Answers
9514 1404 393
Answer:
1 +i√3.5
Step-by-step explanation:
In vertex form, the equation is ...
2(x² -2x +1) +7 = 0
2(x -1)² +7 = 0
Then the solutions are ...
(x -1)² = -7/2
x = 1 ±i√3.5
One solution is 1+i√3.5.
if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
Need help
Answers
Answer:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]
Substitute in known values:
[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]
And subtract. Hence:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
In conclusion, ∠ABC measures 34°.
Simplify: a(3+5a)-4(a2+5)
Answers
Answer:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]
Distribute:
[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]
Rearrange:
[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]
Combine like terms:
[tex]\displaystyle = a^2 + 3a -20[/tex]
In conclusion:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
After subtracting 20% of a number from a number we get 12975.what was the number?
Answers
Answer:
Step-by-step explanation:
d
Help me please! What shape is it?
Answers
SQUARE
You're a square !!!1!!!!!!!!11
The shaded rectangle, which is the correct expression of its perimeter
Answers
Answer:
2x + 2y - 4
Step-by-step explanation:
The opposite sides are congruent so perimeter (P) is
P = 2(x + 2) + 2(y - 4)
= 2x + 4 + 2y - 8
= 2x + 2y - 4
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Water flows out of a hose at a constant rate. After 2 1/3 minutes, 9 4/5 gallons of water have come out of the hose. At what rate, in gallons per minute, is water flowing out of the hose?
Answers
Time taken: 2[tex]\frac{1}{3}[/tex] minutes = 7/3 minutes
Water released: 9[tex]\frac{4}{5}[/tex] gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = [tex]\frac{\frac{49}{5} }{\frac{7}{3} }[/tex] = [tex]\frac{49}{5} * \frac{3}{7}[/tex]
Rate = 21/5 = 4.2 gallons/minute
Answer:
Time taken: 2\frac{1}{3}
3
1
minutes = 7/3 minutes
Water released: 9\frac{4}{5}
5
4
gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = \frac{\frac{49}{5} }{\frac{7}{3} }
3
7
5
49
= \frac{49}{5} * \frac{3}{7}
5
49
∗
7
3
Rate = 21/5 = 4.2 gallons/minute
Step-by-step explanation:
i hope it helps
