Answers
Answer:
y = x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x ← equation of line
Related Questions
HELP ASAP ILL GIVE BRAINLIEST
Answers
Answer:
y=−2x−10
Step-by-step explanation:
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)
Answers
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
The area is given as:
[tex]\mathbf{A = 1000}[/tex]
Let the dimension be x and y.
So, we have:
[tex]\mathbf{A = xy = 1000}[/tex]
Make x the subject
[tex]\mathbf{x = \frac{1000}{y}}[/tex]
The perimeter is calculated as:
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{P = 2(\frac{1000}{y} + y)}[/tex]
Expand
[tex]\mathbf{P = \frac{2000}{y} + 2y}[/tex]
Differentiate
[tex]\mathbf{P' = -\frac{2000}{y^2} + 2}[/tex]
Set to 0
[tex]\mathbf{ -\frac{2000}{y^2} + 2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ -\frac{2000}{y^2} = -2}[/tex]
Divide both sides by -1
[tex]\mathbf{\frac{2000}{y^2} = 2}[/tex]
Multiply y^2
[tex]\mathbf{2000 = 2y^2}[/tex]
Divide by 2
[tex]\mathbf{1000 = y^2}[/tex]
Take square roots of both sides
[tex]\mathbf{y = \sqrt{1000 }}[/tex]
[tex]\mathbf{y = 10\sqrt{10 }}[/tex]
Substitute [tex]\mathbf{y = \sqrt{1000 }}[/tex] in [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{x = \frac{1000}{\sqrt{1000}}}[/tex]
[tex]\mathbf{x = \sqrt{1000}}[/tex]
[tex]\mathbf{x = 10\sqrt{10 }}[/tex]
Hence, the dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
Read more about perimeters at:
https://brainly.com/question/6465134
5^-x = 6
Help ASAP
STEPS MUST.
Answers
We have to Find:
The value of x[tex] \sf \longmapsto5^{ - x }= 6[/tex]
Let's start.
Take Logarithm of both sides[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]
Solving Further[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]
[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]
Take the minus from (-x) and put in on log(6)[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]
Done
PLS HELP REWARDING A LOT!!
Answers
Answer:
157°
Step-by-step explanation:
Sum of interior angles of polygon
(n-2)*180 ---- n = total number of sides
7 angles, 7 sides
5*180 = 900
final angle will be
900-162-115-125-138-105-98
=157
Answer:
157
Step-by-step explanation:
it is obvious that it's a heptagon
so (n-2) x180
n=7
(7-2) x 180 =900
900-162-115-125-138-105-98
900-743=157
final unknown=157°
Complete the table for the value of each digit in 123.
Answers
Answer:
1,2,3,4,5,6,7,8,9,10
2,4,6,8,10,12,14,16,18,20
3,6,9,12,15,18,21,24,27,30
Step-by-step explanation:
need some help with these!!
Answers
Explanation: just divide by 2
Because triangle A is double the size of triangle D
32/2 =16
40/2 = 20
48/2 = 24
7. Veronica brought her turtle out of its aquarium for 15 minutes every
night for 7 days. How many total minutes did she bring her turtle
out of its aquarium? Write another scenario that uses the same numbers.
Help me plz I know the answer, but I need help writing another scenario that uses the same numbers.
Answers
Answer:
Brittany took a 15 minute walk every morning for 7 days. How many minutes did she walk for?
Step-by-step explanation:
You might be able to use this.
Please help me and give explanation on how you got your answer if not that’s fine
Answers
The reason is because well first of the plotted dot is filled in with means that x needs to be less then or equal too so to represent that you put the line under the less then symbol and none of the other options have that exact symbol
The arrow is going to the left this is stating that x needs to be less than -2
If it’s wrong then I apologize because I don’t really remember this
Give TWO different ways to write EACH expression in WORDS.
a. -8n
b. a - 1
c. x/2-4
d. 5y + 9
Answers
Answer:
a. negative eight times a number, the product of a number and negative eight
b. one less than a number, a number minus one
c. four less than the quotient of a number and two, half of a number minus four
d. nine more than the product of five and a number, five times a number plus nine
lemme know if this was a help :P
Step-by-step explanation:
Aldo earns 51 dollars a week working at the bookstore he makes one dollar more for each book that he sells . the amount , A (in dollars )that Aldo earns a week of he sales b books is given by the following function
A(b)=51+b
Answers
Answer:
False.
Step-by-step explanation:
A x b does not equal to A + b. Addition and mutiplication is different.
Please help me with these questions. I’m genuinely confused.
Answers
Answer:
16: 5
17: 6 4/9
Step-by-step explanation:
I only will give u the answer for a few questions
need help with this question
Answers
Answer:
Between 6 & 7
Step-by-step explanation:
The square root of 45 is 6.7. So it'll be between 6 & 7.
Decide where the first digit of the quotient should be placed without performing division The first digit of the quotient for 2,370 = 24 should be in the Choose... ones tens hundreds thousands
Answers
Answer:
tens place
Step-by-step explanation:
24 can't be into the thousands place or the hundreds place. hope this helps
Answer
hundredths place
Step-by-step explanation:
When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.
Here, when performing long division we compare ...
64 vs 1 . . . no quotient digit
64 vs 15 . . . no quotient digit
64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.
The side of an equilateral triangle is 12. Its area is
Select one:
a. 72
b. 48
c. 144
d. 36 square root 3
Answers
A≈62.35
..................
Answer is :
36 square root 3
A man walks 50km a day he gets R1 for every 1000 steps. How much money will he have at the end of his 50km walk if 1,6Km is = to 2000 steps.
Answers
we have 1,6Km is = to 2000 steps => 1 km = 1250 steps
=> 50km = 1250 x 50 = 62500 steps
so he'll have: 62500/1000 = 62,5 R1
ok done. Thank to me :>
If a 32 ft. tall tree casts an 8 ft. shadow , how long of a shadow dc 6 ft. tall man have?
Answers
Answer:
1.5ft
Step-by-step explanation:
32/8=4
32/4=8
6/4=1.5
Find the complementary Angle of 24 / 1/5
Answers
Ok done. Thank to me:>
Explain the meaning of 5?
a. 1 + 2 + 3 + 4 + 5
b. 5-4-3-2-1-0
c. 0 x 1 x 2 x 3 x 4 x 5
d. 5 ∙ 4 ∙ 3 ∙ 2 ∙ 1
Answers
B. 5 is being subtracted
C. 5 is being multiplied
D. 5 is being multiplied
I hope these answers are correct
Determine the smallest integer value of x in the solution of the following inequality
Answers
Answer:
-2
Step-by-step explanation:
4x - 7 > -17
(add 7 on both sides)
4x > -10
(divide both sides by 4 to isolate x)
x > - 2.5
An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4
Answers
It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.
Since the slope m here is -1/4, we can write :
y = (-1/4)x + b
And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :
b + (-1/4)*(-2) = 6
b = 6 - (-1/4)*(-2)
b = 6 - (2/4)
b = 6 - 1/2
b = (12-1)/2 = 11/2
Finally, the equation is y = (-1/4)x + 11/2
the bottom the range has the same numbers so I just need the domain and range help plz!!
Answers
How to identify domain and range from co-ordinate pairs?
If a pair be (x,y)Domain=x
Range=y
Hence.
In the graph here
[tex]\\ \sf\longmapsto D_f=0\leqslant x\leqslant y[/tex]
[tex]\\ \sf\longmapsto R_f=0\leqslant y\leqslant 14[/tex]
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Nick wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 6.5%.
Calculate the amount of sales tax Nick will pay on the purchase. Round to the nearest cent if necessary.
sales tax: $
Part B
Fill in the blank question.
How much will Nick pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.
total cost: $
Answers
Answer:
Step-by-step explanation:
A) $155.75(0.065) = 10.12375 = $10.12
B) $155.75 + $10.12 = $165.87
Please can some one help me please
Answers
Answer:
a)3
b)33
Step-by-step explanation:
a)10% is the same as 10/100 so 30/100=0.3 x 10= 3
b) 3+30 = 33
Find the median of the list of data.
12, 18, 21, 25, 30, 43
Answers
Answer:
23
Step-by-step explanation:
the median is the "Middle" number of the set.21 and 25 are the middle numbers of the set. so now find the middle of 21 and 25.
21 22 23 24 25
23 is the median of the data set
5/6(-4 1/2)(-2 1/5) what is the answer
Answers
Is the point (4, -15) on the line y = -3x - 3
Answers
Answer:
yes
Step-by-step explanation:
since the format of ordered pairs is (x,y) we can plug in the values into the equation to see if they are on the line
y = -3x - 3
-15 = -3(4)-3........plug in values
-15 = -12 - 3........multiply
-15 = -15..............subtract
-15 = -15..............this is true
Answer:
yes
Step-by-step explanation:
y = -3x-3
Substitute the point into the equation
-15 = -3(4) -3
-15 =-12-3
-15=-15
This is true so the point is on the line
Robert baked 6 pies to donate to a charity dinner before he ran out of sugar. With each additional cup of sugar he buys, he can bake 1 more pie.
Write an equation that shows how the total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x.
Y=
Answers
Answer:
y=4x+6
Step-by-step explanation:
slope intercept form y=mx+b
The total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x, according to the following equation:
y = 6 + x
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
According to the following equation, the total number of pies Robert may bake, y, is determined by the number of cups of sugar he purchases, x:
y = 6 + x
This equation can be read as: "The number of pies Robert can bake, y, is equal to the number of pies he baked before he ran out of sugar, which is 6, plus the number of additional cups of sugar he buys, x."
For example, if Robert buys 2 additional cups of sugar, he can bake a total of 6 + 2 = 8 pies.
If he buys 3 additional cups of sugar, he can bake a total of 6 + 3 = 9 pies, and so on.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ2
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Answers
Step-by-step explanation:
My favorite movie would have to be the Pirates of the Caribbean collection. Captain Jack sparrow aka Johnny Depp is is just great at his character.
Answer:
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Step-by-step explanation:
Jasmine ran 5 miles in 42 minutes
Answers
Answer:
5 divided by 42 is 0.11 repeating
Step-by-step explanation:
Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain
Answers
Answer:
Disagree
Step-by-step explanation:
I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional