Answers
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
Related Questions
One angle, Angle A = 80° find the other angle, Angle B
Hint: They are formed on a line.
Answers
If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.
Here,
Angle A = 80°
Angle B = x°
So,
Angle A + Angle B = 180°
80° + x° = 180°
x° = 180° - 80°
x° = 100°
=》 Angle B = 100°
_____
Hope it helps ⚜
Solve for x
log2(5x-4)=4
Please show steps
Answers
Answer:
x=1.2
Step-by-step explanation:
2(5x-4)=4
distribute 2 to 5x and -4
10x-8=4
add 8 to negative 8 and 4
10x=12
now divide both sides by 10
10x/10= 12/10
x=1.2
The value of x for the logarithmic expression will be x=1.2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is log2(5x-4)=4. The value of x will be calculated as,
2(5x-4)=4
Distribute 2 to 5x and -4,
10x-8=4
Add 8 to negative 8 and 4,
10x=12
Now divide both sides by 10,
10x/10= 12/10
x=1.2
Therefore, the value of x for the logarithmic expression will be x=1.2.
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Find (f/g)(5) for the functions
f(x) and g(x) given below.
f(x) = x2 +1 and g(x) = x - 4
=
=
(f/g)(5) = [?]
=
Answers
Answer:
11
Step-by-step explanation:
(f/g)(5)=
f(5)=(5)2+1÷g(5)=5-4
10+1/1
11/1
(f/g)=11
The required simplified value of the given function as (f/g)(5) is 26.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
f(x) = x² +1
f(5) = 5² + 1
f(5) = 26
g(x) = x - 4
g(5) = 5 - 4 = 1
f/g(5) = f(5) / g(5)
= 26 / 1 = 26
Thus, the required simplified value of the given expression (f/g)(5) is 26.
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A shopkeeper bought 2 mobile set for 5000 each . If he sold a mobile with 20% profit and 20% loss . How much percent profit or loss did he have?
Answers
Answer: NO GAIN for the shopkeeper
Step-by-step explanation:
20/100 *5000=1000
angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.
Answers
Complementary angles have a submission of 90 degrees thus :
[tex]angle \: \: A + angle \: \: B = 90°[/tex]
[tex](4x - 28)° + (4x - 8)° = 90°[/tex]
[tex]4x + 4x - 28 - 8 = 90[/tex]
Collect like terms
[tex]8x - 36 = 90[/tex]
Add both sides 36
[tex]8x - 36 + 36 = 90 + 36[/tex]
[tex]8x = 126[/tex]
Divide both sides by 8
[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]
[tex]x = 15.75[/tex]
_____________________________________________
Now let's find the measure of A :
[tex]A = 4x - 28[/tex]
[tex]A = 4 \times (15.75) - 28[/tex]
[tex]A = 63 - 28[/tex]
[tex]A = 35°[/tex]
And we're done...
Don't have a good day , Have a great day ♡
A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could a restaurant sell before they run out of lemonade?
Answers
Answer:
32 large lemonades
Step-by-step explanation:
4 gallons = 512 ounces
512 ounces / 16 ounces
= 32 large lemonades.
Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $289.95. If you pay the bill within 15 days, how much should you tender?
Answers
Answer:
$8,698.50
Step-by-step explanation:
289.95x30= $8,695.50
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)
Answers
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
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Diana is baking bread the original recipe calls for 1 1/2 teaspoons of yeast
Answers
Your Question is incomplete..
Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?
Answer:
3 3/4
Step-by-step explanation:
To figure out how many cups of flour Diana will use, you can set up a proportion.
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Floor required for 3/2 teaspoons of yeast = 5/2
Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer:
(The question is not complete so I will complete it)
Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?
A) 1 7/8
B) 3 1/2
C) 3 1/2
D) 3 3/4
E) 4
Step-by-step explanation:
The correct answer is D
To figure out how many cups of pour diana will use, you can set up a proportion
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer: D) 3 3/4
Find Y
LOOK AT THE PICTURE
Answers
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31
Answers
Answer:
A
Step-by-step explanation:
Substitute n = 9 into the nth term rule
A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A
Can someone please take the time out of their day and help me with this
Answers
What is mathmatics ?
Answers
Answer:
The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..
Ex :- Plus , minus
I HOPE IT IS HELPFULMathematics is a very important field of study in human society that can be described as the study of:
Numbers Quantities Spatial elementsMathematics is a science and one that is constantly evolving to allow us better understand our surroundings.
There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.
In conclusion, math is a science of numbers.
Find out more on mathematics at https://brainly.com/question/14473572.
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answers
Answer:
x > -1
Step-by-step explanation:
-10 < x - 9
Add 9 to each side
-10+9 < x - 9+9
-1 < x
x > -1
Answer:
x > - 1Step-by-step explanation:
- 10 < x - 9
- 10 + 9 < x - 9 + 9
- 1 < x
x > - 1
Hope it helps!!solve the given problem
Answers
Step-by-step explanation:
the first step in my opinion would be find the norm(s) in this scenario.
100 pounds is a good norming weight.
the speed of these 100 pounds with a 10 HP motor is
50ft/30sec = 5/3 ft/s
so, then let's ask next what size of motor is needed to lift the same 100 pounds 40 ft in 40 seconds
40ft/40sec = 1 ft/s
to get the same speed as in the first case the motor need to be weaker (to move slower). and that goes by the same factor as the ratio between the 2 speeds :
5/3×f = 1
f = 3/5
10 HP × f = 10 × 3/5 = 30/5 = 6 HP
so, it takes a 6 HP motor to lift these same 100 pounds 40 ft in 40 seconds.
and now, how strong must the motor be to lift 800 pounds (= 8 times the original 100 pounds) with the same speed ?
well, 8 times
8×6 = 48 HP
so, it would take a 48 horsepower motor to lift 800 pounds 40 ft in 40 seconds.
the equation would then be
HP = p/100 × 6 = 6p/100 = 3p/50
HP = horsepower
p = pounds
the rest I cannot really answer, as I don't know your class and it's contents.
I hope I covered the topics of your class with that solution.
4th root of 1/16 as a fraction
Answers
Answer:
1/2, or 0.5
Step-by-step explanation:
3’2x (8-5)
6’2+(4x3)
42-(14-12)
Answers
Answer:
1. 27
2. 48
3. 40
Step-by-step explanation:
3 to the power of 2 is 9 (3×3)
9×3=27. (8-5=3)
6 to the power of 2 is 36 (6×6)
36+12=48. (4×3=12)
42-2=40
Can some one help? This is sooooooo hard
Answers
Answer:
median is a hight of a triangle
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
Giving brainliest to the right answer!
Answers
Answer:
y = 4 (-3) - 2
y = -12 - 2
y = -14
Step-by-step explanation:
V (1) = 65t+280, where time , in minutes,.the pump has been on .
how many gallons of water were.in the tank when the pumps were turned on
Answers
Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!
Answers
Answer:
Step-by-step explanation:
It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other
The given xy- plane is a parallelogram.
When a plane figure is called a parallelogram?
A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.
How to find the distance between two points?If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by
[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]
Where, d is the distance between two points.
According to the given question
We have a plane figure PSTO
And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.
Now, the length of the sides by distance formula
PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]
PS = [tex]\sqrt{c^{2}+0 }[/tex]
PS = c
Similarly,
ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]
ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]
TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]
TO = [tex]\sqrt{c^{2} }[/tex]
TO = c
And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]
PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]
From the above calculation we found that
PS = TO
PO = ST
⇒ Length of the opposite sides of the plane figure are equals.
And from the given figure we can see that the opposite sides are also parallel to each other.
Therefore, the given xy- plane is a parallelogram.
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The 3 in 75,341 is ______ the value of the 3 in 293,467
Answers
Answer:
3 in 75,341 = the hundreth place. 3 in 293,467 = the thousandth place.
Step-by-step explanation:
2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?
Answers
You welcome
Which two lines are parallel?
1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1
A. 1 and 3
B. 2 and 3
C. None of the lines are parallel.
D. 1 and 2
Answers
kate has 2.95 in quarter and nickels she has 23 coins how many quarters and nickles does she have
Answers
Answer:
9 quarters and 14 nickles
The number of quarters is 9.
The number of nickels is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of quarters = x
Number of nickels = y
Now,
1 quarter = $0.25
1 nickel = $0.05
Two equations are:
x + y = 23 ____(1)
x = 23 - y _____(2)
0.25x + 0.05y = 2.95 _______(3)
Putting (2) in (3) we get,
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
5.75 - 2.95 = 0.20y
2.8 = 0.20y
y = 2.8/0.20
y = 14
Now,
x + y = 23
x = 23 - 14
x = 9
Thus,
There are 9 quarters and 14 nickels.
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What is the equation on the graph?
Please help!!!
Answers
Answer:
y = -1/4x + 2
Step-by-step explanation:
using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2
HELP- I NEED LOTS OF HELP
Answers
Answer:
|279|
Step-by-step explanation:
so when ur doing absolute value you js need distance so lets work with the problem, if ur 279 feet below water u would need to get to zero feet below sea level (ground lvl) to do so how many feet towards ground lvl would u go? (279 clearly) so the distance from how many feet under u are to the ground lvl is ur absolute value.
Tbh in school they over complicate it if u need an absolute number from a negative number like -279 (as it is in the problem) you would js make it a positive (if its positive 279 u js say the absolute value is 279)
(also the absolute value is the distance between the number and zero so yh u can put that)
Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.
Answers
The amount that should deposit monthly is $164.98
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)Substitute the given values into the formula to have:
[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]
Hence the amount of money they started with is $19,524.89.
Amount to deposit monthly = 19,524.89/120
Amount to deposit monthly = $164.98
Hence the amount that should deposit monthly is $164.98
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A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit
Answers
Answer:
50-2
Step-by-step explanation:
there is 50 donuts and 2 that are frosted :)
Step-by-step explanation:
2 have frosting, therefore 50-2 = 48 don't.
so, the ratio is for frosting vs. non-frosting
2 : 48 (which would be also 1 : 24).
PLZ HELP DUE TODAY 100 POINTS AND BRAINLIEST
Write each expression using an exponent
1. 8 × 8 × 8 × 8 × 8 × 8 × 8
2. 4
Evaluate each expression
4. 9² 5. 99^1
6. 3,105^0 7. 22²
8. 2^7 9. 3^4
Answers
Answer:
1. 8^7
2. 2^2
Step-by-step explanation:
I am not sure about these
4. 6.32066568875585e+24
5. 1.0853858230617127e+182
6. Infinity
#1
8×8×8×8×8×8×8=8^7#2
4=2^2#3
9^5.99^19^5.99#4
3105^0.7.22^2278.2(484)134648.8#5
2^7.9.3^42^7.3^6