Answer:
Please check the explanation.
Step-by-step explanation:
Two lines are parallel if their slopes are equal.Two lines are perpendicular if the product of their slope is -1We also know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Given the lines
1)
y = 6х - 3Comparing with y=mx+b, the slope of y = 6х - 3:
m₁=6
y = - 1/6x + 7Comparing with y=mx+b, the slope of y = - 1/6x + 7:
m₂=-1/6
As
m₁ × m₂ = -1
6 × - 1/6 = -1
-1 = -1
Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.
2)
y = 3x + 2Comparing with y=mx+b, the slope of y = 3x + 2:
m₁=3
2y = 6x - 6simplifying to write in slope-intercept form
y=3x-3
Comparing with y=mx+b, the slope of y=3x-3:
m₂=3
As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.
i.e. m₁ = m₂ → 3 = 3
Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.
3)
8x - 2y = 3simplifying to write in slope-intercept form
y = 4x - 3/2
Comparing with y=mx+b, the slope of y = 4x - 3/2:
m₁=4
x + 4y = - 1simplifying to write in slope-intercept form
y=-1/4x-1/4
Comparing with y=mx+b, the slope of y=-1/4x-1/4:
m₂=-1/4
As
m₁ × m₂ = -1
4 × - 1/4 = -1
-1 = -1
Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.
4)
3x+2y = 5simplifying to write in slope-intercept form
y = -3/2x + 5/2
Comparing with y=mx+b, the slope of y = -3/2x + 5/2:
m₁=-3/2
3y + 2x = - 3simplifying to write in slope-intercept form
y = -2/3x - 1
Comparing with y=mx+b, the slope of y = -2/3x - 1:
m₂=-2/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
5)
y - 5 = 6xsimplifying to write in slope-intercept form
y=6x+5
Comparing with y=mx+b, the slope of y=6x+5:
m₁=6
y - 6x = - 1simplifying to write in slope-intercept form
y=6x-1
Comparing with y=mx+b, the slope of y=6x-1:
m₂=6
As the slopes of y - 5 = 6x and y - 6x = -1 are equal.
i.e. m₁ = m₂ → 6 = 6
Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.
6)
y = 3х + 9Comparing with y=mx+b, the slope of y = 3х + 9:
m₁=3
y = -1/3x - 4Comparing with y=mx+b, the slope of y = 1/3x - 4:
m₂=1/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume of the building must be exactly 4000 m^3. Write an equation for y, the height of the building, in terms of x, the length and width of the base.
Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 3
What is the value of x? PLEASE ANSWER ASAP!!
Answer:
...........................................................
Step-by-step explanation:
Is chewing gum independent of having a cavity filled recently?
A.
B.
C.
D.
Answer:
did you figure out the answer I'm sorry they don't have a comment section on ur photo
Answer:
P(Gum) ≠ P(Gum/Cavity)
Step-by-step explanation:
Answer on Edge
F(x)=43
f(x)=-6×+7
Not sure how to get the answer wondering if someone can break it down for me please
Step-by-step explanation:
Since f(x) is 43 you would replace it for the f(x) in the bottom equation like this 43=-6×+7 then you would multiply the left side so now it would be 43=-42 and this a no solution.
Which number line shows the correct placement of 20%, 1/3
and 2/3?
Answer:
the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1
Step-by-step explanation:
Answer A you welcome
Need answer ASAP ROCKY!!
The triangle with vertices at L (-2,5), E ( 1,4), and D(2,-2) is 4 units left, 3 units up, and then reflected over the line y=4 to form the image L'E'D. Which vertex of the image is the greatest distance from the origin?
Answer:
L'(6,8)
Step-by-step explanation:
If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)
Y < -x - 2 y < x + 1 which graph represents the system of inequalities?
Answer:
C
Step-by-step explanation:
C on Khan Academy
Answer:
The Answer is C
Step-by-step explanation:
trust me bro
Find the maximum value of the function
f(x) = –22 – 15.9x – 57 to the nearest hundredth.
partial quotient for 654 divided by 3
654 over 3 = divide the both 654 and 3 by 3.
It will give you 218 over 1.
So the answer is 218.
Input
х
Output
Y
1
0
1
A
5
B
31
с
46
D
25
76
Answer: 46
Step-by-step explanation:
Yes !!
2/3x24 = 16
Write a situation for this equation and draw a picture that goes with it
Answer:
16
Step-by-step explanation:
2/3×24=16
2/1×8=16
Liang has a goal of walking at least 18 miles. She walks at a rate of 4 miles per hour. Which inequality can liang use to find h, the number of hours she should walk in order to meet or exceed her goal
Answer:
t ≤ 4.5
Step-by-step explanation:
We are told that the goal is to walk at least 18 miles
She walks at a rate of 4 miles per hour, speed is 4mph
Required
the inequality for the time taken to walk the distance and the said speed
Step two:
we know that
speed= distance/time
time=distance/speed
substitute
time= 18/4
time= 4.5 hours
Time≤ 4.5 hours
What is- If x = 5 find the value of (x + 3)2
HELP!!! Is this the expanded form of a number? 40*1000+7*10. If yes, What is it?
Answer:
40070
Step-by-step explanation:
HELP NOW!!!! thx :DDDD
Answer:
the second one
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
3 parts ginger ale to 2 parts raspberry juice
Jason drove 110 miles in 2 3/4hours. What was Jason’s speed in miles per hour?
Answer: His MPH is 40
Step-by-step explanation: 100/2.75 = 40. Converting the fraction to decimal form makes this problem much easier.
I also need help with this haha,, I'm bad at algebra 2
PLEASE HELP WILL GIVE 50 POINTS
Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20).
Answer:
f(x)=-5x+1
Step-by-step explanation:
I hope this answer works for you!. but I am not completely confident in it.
A jar contains 900 beans. Of all the beans 2/3 are azuki beans and the rest are Lima beans. What is the ratio of azuki beans to Lima beans
Answer:
2:1
Step-by-step explanation:
There are 600 azuki beans and 300 Lima beans. 600/300 simplified is 2:1 :DD
Answer: beans
Step-by-step explanation: first you need to read the question and then type beans.
Please Help
I Keep asking if someone can help me with this and no one actually helped me, please help!
This is the Second day that I have been asking about this!
9514 1404 393
Answer:
m∠ABC = 81°
m∠FEC = 90°
Step-by-step explanation:
The median BE of isosceles triangle ABC is also an altitude and the angle bisector of ∠ABC. This means ...
m∠ABC = 2×m∠ABE = 2(40°30')
m∠ABC = 81°
It also means that all of the angles at the intersection of BF and AC are right angles, so ...
m∠FEC = 90°
The cost of mailing a first-class letter is $0.46 for the first ounce and $0.20 for each additional ounce or portion of an ounce. Y is the total cost for mailing a letter that weighs x ounces. What is the cost of mailing a first class letter weighing 2.5 ounces based on the guidelines given in the previous problem?
Answer:linear function
Step-by-step explanation:
The cost of mailing a first class letter weighing 2.5 ounces is $0.96,
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now given that,
cost of mailing a first-class letter for the first ounce = $0.46
cost of additional ounce or portion of an ounce = $0.20
Since,the weight of letter is x ounces
cost of mailing a first-class letter = $0.2x
Now,Y is the total cost for mailing a letter
Y = 0.46 + 0.2x
Therefore, the cost of mailing a first class letter weighing 2.5 ounces
Y = 0.46 + 0.2*2.5
⇒ Y = 0.46 + 0.5
Y = $0.96
Thus,The cost of mailing a first class letter weighing 2.5 ounces is $0.96
To learn more about linear equation:
https://brainly.com/question/13763238
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What is the value of 2cos2(105⁰) − 1?
Step-by-step explanation:
-1 - root3
The value of the given expression 2cos2(105⁰) − 1 is,
⇒ - 1 - √3
What is trigonometric functions?A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.
We have to find the value of;
⇒ 2cos2(105⁰) − 1
Now, We can Plug 105° = θ
So, the expression becomes,
⇒ 2cos2θ - 1
Using the formula;
cos2θ = 1 - 2sin^2θ
We get;
⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1
= 2 - 4sin^2θ - 1
⇒ 2cos2θ - 1 = 1 - 4sin^2θ
Now, Again plug θ = 105°
⇒ 2cos2(105°) - 1 = 1 - 4sin¹⁰⁵
⇒ 2cos2(105°) - 1 = -1 - √3
Hence, The value of the given expression is,
⇒ (-1 - √3)
Learn more about trigonometric function visit:
brainly.com/question/1143565
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what can graphs involving constant rate be used for
A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chose peaches compared to oranges as their favorite fruit? Explain your thinking.
Answer:
Without seeing the table I can't answer the question
Step-by-step explanation:
But if you take the number of Peaches and subtrqact the number of oranges will have your answer.
1-3+30
Will give branliest to first answer
Answer:
28
Step-by-step explanation:
1 - 3 + 30
= -2 + 30
= 28
I GIVE BRAINLIEST!!
helpp >.< and your explain steps please !
Answer:
112p^2 -224p + 4
Step-by-step explanation:
16(p-2)(7p) + 4
Distributive property.
Use Foil
Multiply the: First, outside, inside, last
112p^2 -224p + 4
Answer:
112p^2 - 160p -128
Step-by-step explanation:
1) Look at the equation as a multiplication of 3 parts:
16 * ( p -2) * (7p + 4)
2) Multiply 16 with (p-2) = 16p - 32
3) Multiply 16p - 32 with (7p + 4) = 112p^2 + 64p - 224p - 128
4) Simplify: 112p^2 - 160p -128
Use the drop-down menus to answer the following questions.
What natural element is one of the best preservers of prehistoric life?
What clues in fossils help scientists identify different ice ages?
Answer:
1st Question is ice
2nd Question is plant and animal remains
Step-by-step explanation:
Edg. 2020
Answer:
What natural element is one of the best preservers of prehistoric life?
✔ ice
What clues in fossils help scientists identify different ice ages?
✔ plant and animal remains
Step-by-step explanation:
edge
Evaluate the expression n x p + p n=3 p=6
Answer:
24
Step-by-step explanation:
Since we know what the variables are, we can substitute them. So, you’ll get 3 x 6 + 6. Next, do 3 x 6, which equals 18. Then add the 6, which finally equals 24.
Hope this helps! :)
What’s quadratic equation
Answer:
In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation that can be rearranged in standard form as ax^2+bx+c-0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a .0, then the equation is linear, not quadratic, as there is no ax^2 term. The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.
Step-by-step explanation:
Good Question I just had a class about it 10 minutes ago such a coincidence! :)
Answer:
ax^2+bx+c=0
Explanation:
This is the typical style of a quadratic equation to be in. The only varieties there would be within the pronumerals used.
Does anyone know the answer to this question