Answer:
Line [tex]a[/tex] and line [tex]c[/tex] are parallel to each other.
Line [tex]b[/tex] is perpendicular to line [tex]a[/tex].
Line [tex]b[/tex] is perpendicular to line [tex]c[/tex].
Step-by-step explanation:
Rewrite the equation of each line in the slope-intercept form [tex]y = m\, x + b[/tex] to find the slope [tex]m[/tex] of that line.
In the slope-intercept form, [tex]y[/tex] need to be on the left-hand side of the equation while [tex]x[/tex] need to be on the right-hand side. The coefficient of [tex]y[/tex] must be [tex]1[/tex]. The slope of the line would then be equal to the coefficient of [tex]x[/tex].
For example, the equation of line [tex]a[/tex] could be rewritten in slope-intercept form as [tex]y = 3\, x + 5[/tex]. The coefficient of [tex]x[/tex] is [tex]3[/tex], so the slope of this line would be [tex]m_{a} = 3\![/tex].
Similarly, rewrite to obtain the the slope-intercept equation of line [tex]b[/tex]: [tex]y = (-1/3)\, x + (2/3)[/tex]. The slope of this line would be [tex]m_{b} = (-1/3)[/tex].
The equation of line [tex]c[/tex] is already in slope-intercept form. The slope of that line would be [tex]m_{c} = 3[/tex].
Let [tex]m_{1}[/tex] and [tex]m_{2}[/tex] denote the slopes of two lines in a Cartesian plane.
These two lines are parallel with if and only if their slopes are the same: [tex]m_{1} = m_{2}[/tex]. These two lines are perpendicular to each other if the product of their slope is [tex](-1)[/tex]: [tex]m_{1}\, m_{2} = (-1)[/tex].In this question, the slope of line [tex]a[/tex] and line [tex]c[/tex] are the same: [tex]m_{a} = m_{c}[/tex]. Thus, line [tex]a\![/tex] and line [tex]c\![/tex] would be parallel.
The product of the slopes of line [tex]a[/tex] and line [tex]b[/tex] is [tex]m_{a}\, m_{b} = 3 \times (-1/3) = (-1)[/tex]. Thus, line [tex]a\![/tex] and line [tex]b[/tex] are perpendicular to each other.
Similarly, line [tex]b[/tex] and line [tex]c[/tex] are perpendicular to each other because the product of their slopes is [tex](-1)[/tex].
Only brainliest, 5 stars and a thanks for correct answers.
Answer:
For 4 yrs the rate is 5%,
but anually, i.e yearly, its 20%.
The school band has 115 members. They are raising money for band camp.
If each member raises $75, what is the total amount of money raised for band camp?
A. $8,625
B. $7,750
C. $8,605
D. $8,305
7= 4x + 7
can someone please help me solve this :,)
Answer:
Here
Step-by-step explanation:
7 = 4x + 7
Cancel out the 7's on each side by adding negative 7 to both sides...
0 = 4x
Now find how much for x alone
4x = 0
divide both sides by 4
x = 0
X = 0
7 = 0 + 7
7 = 7
Find three consecutive even integers whose sum is -48.
Answer:
48 then it would be 32? im not sure that what i caculated
Step-by-step explanation:
8. Which set of numbers is arranged in increasing order?
A 23 873. 24 765,25 000.5 678)
B. (16 287. 16 728.16 827, 16 872
C. 98 782.98 728.98 287.98 278)
D. 78 082.78 802.78 208.78 028)
Answer:
its B :)
Step-by-step explanation:
i took the test
Calculate the arithmetic mean of the numbers.
-121 and 49
Answer: -72 I think
Step-by-step explanation:
Hope this helps :)
Please Help!
What is the answer to this question?
Answer:
x=8
Step-by-step explanation:
this is a right angle and right angles are 90 degrees. 6*8 equals 48+2 equals 50. 50+40 equals 90!
Answer:
x=8
Step-by-step explanation:
you would subtract 40 from 90 which gives you 50. you would then set 6x+2 equal to 50 and solve from there.
Solve the following proportion for v.
8/5 = v/6
Round your answer to the nearest tenth.
Answer:
[tex]v=\frac{48}{5}=9\frac{3}{5} \\ [/tex]
Step-by-step explanation:
[tex]\frac{8}{5}=\frac{v}{6}[/tex]
Swap sides:
[tex]\frac{v}{6}=\frac{8}{5}[/tex]
Multiply to both sides by 6:
[tex]\frac{v}{6}\cdot6=\frac{8}{5}\cdot6[/tex]
Group like terms:
[tex]\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6[/tex]
Simplify the fraction:
[tex]v=\frac{8}{5}\cdot6[/tex]
Multiply the fractions
[tex]v=\frac{8\cdot6}{5}[/tex]
Simplify the arithmetic:
[tex]v=\frac{48}{5}[/tex]
2. Which statement describes the difference in energy between an ice cube and
liquid water?
A. The particles in the ice cube have no energy.
B. The particles in the ice cube have more energy.
C. The particles in the liquid water have more energy.
Answer:
B
Step-by-step explanation:
The ice has more thermal energy because it is a solid and the water is a liquid. The water has more thermal energy because the molecules of the water are moving faster than the molecules of the ice. The water and the ice have the same amount of thermal energy because they are different forms of the same substance.
how to list the first ten multiples of 7
Answer:
7,14,21,28,35,42,49,56,63,70
Step-by-step explanation:
just add 7 lol anyways here ya go :)
3
4
A group of volunteers packed 198 bags of rice. Each bag contained 3
kilo of rice. How many kilograms of rice did the volunteers pack?
Answer:
No. of bags of rice packed = 198
Amount of rice in each bag = 3 kg
Therefore, total kilograms of rice packed=198×3=594 kg
Step-by-step explanation:
Hope this helps you
Do mark me as brainliest
They packed 594 kilograms of rice.
Given:
Number of bags packed by the group of volunteers = 198
Number of kilo a bag contains = 3 kg
Therefore:
Number of kilograms of rice packed by the volunteers = number of bags packed [tex]\times[/tex] number of kilo one bag of rice weighs
Thus:
Number of kilos of rice packed = [tex]198 \times 3 $ kg\\[/tex]
[tex]= 594 $ kg[/tex]
Therefore, the volunteers packed 594 kilograms of rice.
Learn more here:
https://brainly.com/question/21146374
1.. Use long division to divide.
(2x2 + 10x + 12) = (x + 3)
Answer:
2(x+2)
Step-by-step explanation:
(2x²+10x+12)/(x+3)=(2(x²+5x+6))/(x+3)=(2(x²+2x+3x+6))/(x+3)=(2(x(x+3)+2(x+3)))/(x+3)=(2(x+3)+(x+2))/(x+3)=2(x+2)
i hope you understand (well it's math)
6th grade math i mark as brainliest
Answer:
c:)
Step-by-step explanation:
42.3 subtracted by 14.742
Answer:
-27.558
Step by Step:
I subtracted it
Write the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.
Answer:
y = -5 + 2x
Step-by-step explanation:
it cost 42 dollars to rent a bike for 8 hours, how many hours of bike use does the customer get per dollar
Answer:
About .19 cents for the unit rate
Step-by-step explanation:
find the difference between 8.136kg and 5.387kg
Answer:
2.74900 kilograms
Step-by-step explanation:
8.136kg-5.387kg=2.74900 kilograms
what is the closest estimate for 2/10
Answer: 1/5
Step-by-step explanation:
Simplify the fraction by dividing both the numerator and denominator by 2
Can someone plz help
Answer:
9. answer: -3, 10. answer: 5
how many lbs is 200 oz
Answer:
your answer will be 12.5!
Exponent Rule of algebra
New volume of cube
Please help me
Answer:
above me is maybe a yes or no
Step-by-step explanation:
brainlles to above me
Please help if you can.
Answer:
C
Step-by-step explanation:
Hi please help, if you send me a link, or fake answers your will be reported!
Answer:
Your answer is going to be A) a number decreased by seven
Step-by-step explanation:
A number which is m, decreased which is the subtraction sign, and seven.
A stereo marked down $75. If this is a 15% decrease, find the sale price.
Answer:
The Marked Price is 63.75
Step-by-step explanation:
15/100 * 75 = 11.25
75 - 11.25 = 63.75
Hence the Marked Price is 63.75
Choose the answer that best represents the situation described below.
Mindy is buying a new computer. She knows that the more memory the Computer has, the more expensive it will be
A. The amount of memory is a function of the brand of computer.
B. The cost of the computer is a function of the amount of memory
C. The type of computer is a function of the cost.
Answer:
the answer is B
The cost of the computer is a function of the amount of memory.
the question doesn't talk about the brand. only cost of the computer and the amount of memory.
it says that "She knows that the more memory the Computer has, the more expensive it will be"
the budget of a university organizations is split evenly among its various committees . if they have a budget of P 60.000 represents as a function m(n) the amount of money each of the n number of committees would receive
Answer:
m(n) = 60000
Amount = 60000/n
Step-by-step explanation:
Given
Budget = 60000
Solving (a) Represent as a function mn
To do this simple substitute m(n) for Budget.
This gives;
m(n) = 60000
Solving (b) Amount each committee will receive.
Since the amount will be shared evenly.
Amount = m(n)/n
Substitute 60000 for m(n)
Amount = 60000/n
find the slope of the line passing through the points (-4,1) and (-4,-7)
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-1)/(-4-(-4))
m=-8/(-4+4)
m=-8/0
undefined
passes through (1, -1) and (2,0)
Answer:
y = x - 2
Step-by-step explanation:
1. Find the slope - change in y/change in x
[tex]\frac{0-(-1)}{2-1}[/tex] = 1
Slope is 1
2. Find y-intercept
y = x + b
Substitute a point (2,0)
0 = 2 + b
b = -2
3. Put the equation together
y = x - 2
Naiomis parents want to have $50,000 saved for her college education if they invest $20,000 today and earns 7% interest compounded annually about how long would it take them to save the $50,000
Answer:
13.54 years
Step-by-step explanation:
Saw the answer to this before
Hope this helps!
Need help so much on Circle
Please help me for my geometry honors work please! Thank you
Answer:
x = 95
Step-by-step explanation:
The total degree of a circle is 360. The twp arcs on each side of the parallel lines are equal.
Subtract 135 and 35 from your total
360 - 135 - 35 = 190
Divide your answer by 2
190 ÷ 2 = 95