Both the lines are perpendicular lines.
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of lines are,
⇒ 6x - 2y = 1 and x + 3y = 12.
Now,
Since, The equation of lines are,
⇒ 6x - 2y = 1 and x + 3y = 12.
Hence, Find the slopes of the lines as;
⇒ 6x - 2y = 1
⇒ 2y = 6x - 1
⇒ y = 3x - 1/2
⇒ m₁ = dy/dx = 3
And, From second line,
⇒ x + 3y = 12.
⇒ 3y = - x + 12
⇒ y = - 1/3x + 4
⇒ m₂ = dy/dx = - 1/3
Clearly, We get;
⇒ m₁ m₂ = 3 × - 1/3
= - 1
Thus, Both the lines are perpendicular lines.
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Which phrase matches the algebraic expression below?
2(x - 7) +10
Answer:
2 times the difference of x minus 7 plus 10
Step-by-step explanation:
When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!
8x=24
Solve the equation for x
Answer:
x=3
Step-by-step explanation:
Divide both sides by 8.
Answer:
3
Step-by-step explanation:
8x3=24..............
Write in standard form 8x2−5+7x4−9x−x5
Please explain i don't understand
The standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
To write the given expression in standard form, we need to arrange the terms in descending order of their exponents (from highest to lowest).
So we start by rearranging the given expression as:
x⁵+ 7x⁴ + 8x² - 9x - 5
Now the terms are ordered from highest to lowest exponent.
Now we need to rewrite the expression by collecting like terms and arranging the coefficients in descending order of exponent.
The standard form of the expression is:
x⁵+ 7x⁴ + 8x² - 9x - 5
Hence, the standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.
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Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
Sam went on a hike. He hiked in a straight line 6.4 km east, then walked in a straight
line going south for 4.6 km. Determine how far Sam was from his starting point at
this point in his hike, rounded to the nearest tenth of a km. Show all of your steps.
Please I need help asap
Answer:
he walked 11.0km the nearest tenth would be 10.0km
Step-by-step explanation:
hope this helps
Lucille has an aquarium with 9 gallons of water which weighs 85 pounds. The stand holding the aquarium can hold no more than 112 pounds. She wants to add 2.5-pound rocks, r, her tank. Complete the inequality to show how many rocks she can add.
Answer:
7.1
Step-by-step explanation:
A migrating bird flies 42 miles in 3 hours. How many miles does it fly in 5 hours?
Answer:
70 miles.
Step-by-step explanation:
In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.
Solution:
Firstly we need to find out what distance will the bird travel in 1 hour. We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get
[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]
Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...
[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]
And we get that the bird will travel 70 miles in 5 hours.
If 4m + 1 = 7 then 4m = 6
1) Symmetric Property 2) Subtraction Property of Equality
3) Substitution Property 4) Transitive Property
Answer:
2) Subtraction Property of Equality Properties
General Formulas and Concepts:
Pre-Algebra
Addition Property of Equality - Adding on both sidesSubtraction Property of Equality - Subtracting on both sidesMultiplication Property of Equality - Multiplying on both sidesDivision Property of Equality - Dividing on both sidesTransitive Property - If a = b and b = c, then a = cSymmetric Property - If a = b then b = aStep-by-step explanation:
Step 1: Define
4m + 1 = 7 → 4m = 6
Step 2: Identify
We see that we subtracted on on both sides of the equation. Therefore, we would have to use the Subtraction Property of Equality. Therefore, 2 is our answer.
what is the distance between the points (-2, 1) and (3, 1)
Answer:
Step-by-step explanation:
2.23606797
the sizes of the angles in degrees of the quadrilateral are
x+10
2x
x+30
x+80
a) use this information to write down and equation in terms of x
b) use your answer to part a to work out the size of the smallest angle of the quadrilateral
Answer:
5x+120
Step-by-step explanation:
first you add the 2x x and x and x that would get you 5x and then add the 20 and 10 and 80 that would get you 120
Find the slope of the line through each pair of points.
6. *
(4, 10), (0, 3)
Answer:
Slope: 1.75
Step-by-step explanation:
Slope = (3-10) / (0-4)
= -7 / -4
= 1.75
The measures of two supplementary angles are ( 2x-11 )° and ( 3x+1 )°. Find the value of x.
30 greater than 1/2ₓ
Answer: True.
Step-by-step explanation:
what is 1/4 divided by 5.
Answer: 1/20 or 20
Step-by-step explanation:
Find the degree of the polynomial below. 4x^3-9x^2+8x+5
Answer:
3
Step-by-step explanation:
4x³ - 9x² + 8x + 5
Here, the degree of the polynomial is 3
-TheUnknownScientist
Answer:
the right answer is 3
Step-by-step explanation:
right answer is 3
What is the mapping notation for translating point
(x,y) down 3 units?
A.
(x,y+3)
B.
(x-3,y)
C.
(X+3,y)
D.
(x,y-3)
The Sweetest Jelly Company sells jellies in i pound jars. How many jars can
be filled from 24 pounds of jelly?
How many solutions does this system of equations
have?
A: Infinitely many
B: Exactly two
C: None
D: Exactly one
Answer
d i think
Step-by-step explanation:
Keith spent half of his allowance going to the movies. He washed the family
car and earned 7 dollars. What is his weekly allowance if he ended with
14 dollars ?
Answer:
28
Step-by-step explanation:
because he spent half of 28 which is 14 and 7x4=28 BOOM
Li bought five lip balms. Each lip balm costs the same amount. She spent a total of $7.25.
Using the variable c to represent the cost of each lip balm, write an equation that represents the situation.
C=??
how did u get that answer=??
Answer:
Its 1.45, you didn't have to ask a question just look it up
Step-by-step explanation:
7.25-5c
Kevin spent 10 hours doing homework last week. This week he spent 15 hours doing homework. He says that he spent 150% more time doing homework this week. Is he correct? Show your work to justify your decision.
Which expression can be used to determine 50% of 42? 42 minus 2 42 divided by 2 42 divided by 10 42 minus 10
Answer:
We know that 50% of 42 will be = 21
i.e. 50% of 42 = 50/100 = 21The correct answer should be: 42 divided by 2
Step-by-step explanation:
We know that 50% of 42 will be = 21
i.e. 50% of 42 = 50/100 = 21Also, when we divide 42 by 2, we get the answer 21.
i.e. 42/2 = 21Therefore, the correct answer should be: 42 divided by 2
Answer:The Answer is b
Step-by-step explanation: i did this the other guy can get brainlyest.
Have a nice day! :D
all of the following represents the same expression except ___.
a. -8ab
b. -8(a)(b)
c. 8 - ab
d. -8 • a • b
Answer:
What is the following expresion?
Step-by-step explanation:
Answer:
C. 8 - ab
Step-by-step explanation:
all the other represents -8 multiply by a by b.
Which of these expresses the distributive property?
a) (a + b) + c = a +( b + c)
c) a(bc) = (ab)c
d) a( b + c) = ab + ac
9514 1404 393
Answer:
d) a(b + c) = ab + ac
Step-by-step explanation:
The distributive property explains how multiplication distributes over addition. It can be expressed by the equation ...
a(b + c) = ab + ac
A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
For the high school's production of "Grease," 315 tickets were sold. The cost of a student ticket, s, was $5; the cost of all other tickets, t, was $8. The total income from ticket sales equaled $2211. The system of equations below can be used to determine the number of each type of ticket sold. s+t=315 55 + 8 = 2211 How many student tickets were sold?
Answer:
103 students tickets were sold
Step-by-step explanation:
103 times $5 = $515
212 times $8 = $1696
$515 + $1696 = $2211
PLS HELP ASAP PLSS I ONLY HAVE 10 MINUTES
Answer:
$20 :)
Step-by-step explanation:
There's a pattern in the table of adding 20 each time, so subtract 20 from 40 to get the answer!
Your answer is B: $20.
(You can get to this answer by dividing the number of tickets by the cost.)
Hope this helps!
what is the slope of (4,3) and (1,-1) the line is positive
The slope would be 1.33
Write the equation of a line that is perpendicular to the equation y=2/3x-6, but that passes through the point (2, 3).
Answer:
y=−3/2x+6
Step-by-step explanation:
perpendicular, so theres a lot of switching things
Mazie bought a bike during a 20% off sale and saved $16. What was the original price?
Answer:
$80. Which means she spent $64 with the sale, but the original price is $80.
Step-by-step explanation:
16 is 20% of 80
Answer
The answer is $120.00
Options
What was the price of the bicycle when Mazie bought it?
$140.00
$149.80
$130.00
$120.00
Explanation
Multiply the price of the bike by the discount percentage
150 * 0.20 = 30
Subtract the number you just found from the original price
150 - 30 = 120
There is your answer
You could take a shortcut by doing the following
1 - 0.20 = 0.80
Then multiply the original value by the new percentage
150 * 0.80 = 120
Personally I like the first method because it makes more sense.