Answers
Answer:
The lines are perpendicular.
Step-by-step explanation:
If the lines are parallel, then the slopes are equal
If the lines are perpendicular, then the slopes are negative reciprocals
If neither of the above occur, then the lines are neither parallel or perpendicular.
y = 2x + 3 is in slope-intercept form, so the slope = 2
2y + x = 6
Solve for y: 2y = -x + 6
y = -1/2(x) + 3 so the slope = -1/2
2 and -1/2 are negative reciprocals, so the lines are perpendicular.
Note: Negative reciprocals have a product of -1. 2(-1/2) = -1
Related Questions
Evaluate the expression 3(2x - 8) /7x when x= -3
Answers
Answer:
2
Step-by-step explanation:
..............
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. The total includes the cost of each sub, plus the delivery fee.
Answers
Answer:
cost of each sub = $6, delivery fee = $2
Step-by-step explanation:
Let $x be the cost of each sub and $c be the delivery fee
3x + c = 20
4x + c = 26
x = 6, c = 2
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
Answers
Answer:15 ft
Step-by-step explanation:
Given
The total perimeter needed is [tex]40\ ft[/tex]
The available width of the room is [tex]w=5\ ft[/tex]
Suppose l is the length of the room
So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]
Putting values
[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answers
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
3-4/5X-2/3–3/15+3/5divided by -3/2
Answers
Answer:
-2(6x-13)/15
Step-by-step explanation:
This is done by simplifying the expression as well as combining like terms
I need help on solving these problems.
Answers
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
Answers
Answer:
Step-by-step explanation:
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
anyone knows the answer
Answers
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 14 grams?
y=a(.5)
Answers
Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
HELP! What is equivalent to (8.4z+2.5)+(-3.7x+5
Answers
Answer: -21x + 32z + 15
Step-by-step explanation:
What are the odds that the spinner lands on red or the number 4?
4
4
2
33
Answers
Answer:
5 to 3
Step-by-step explanation:
The desired outcomes are 4 or red.
Here are all the possible outcomes:
1 red
1 red
1 red
2 green
3 blue
3 blue
4 yellow
4 yellow
The desired outcomes are in boldface. There are 5 desired outcomes.
There are 3 outcomes that are not desired.
odds of 4 or red = 5 to 3
Answer:
5/8
Step-by-step explanation:
Please help me ASAP
Answers
Answer:
b
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
1. Both of the equations shown have the same solution when solved for x. What is the value of k? Show or explain all your work.
Captionless Image
Your answer
Answers
Answer:
1
Step-by-step explanation:
you need to multiplau with is 12x+9-42
Find y, ST and TU
Please help!
Answers
Given:
[tex]ST=4y,TU=2y+6[/tex]
To find:
The value of y, ST and TU.
Solution:
In triangle STV and UTV,
[tex]m\angle TSV\cong n\angle TUV[/tex] (Given right angles)
[tex]m\angle SVT\cong n\angle UVT[/tex] (Given)
[tex]TV\cong TV[/tex] (Common side)
The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.
[tex]\Delta STV\cong \Delta UTV[/tex] (AAS congruence postulate)
Corresponding parts of congruent triangles are congruent. So,
[tex]ST\cong UT[/tex] (CPCTC)
[tex]4y=2y+6[/tex]
[tex]4y-2y=6[/tex]
[tex]2y=6[/tex]
[tex]y=3[/tex]
Now,
[tex]ST=4y[/tex]
[tex]ST=4(3)[/tex]
[tex]ST=12[/tex]
And,
[tex]TU=2y+6[/tex]
[tex]TU=2(3)+6[/tex]
[tex]TU=6+6[/tex]
[tex]TU=12[/tex]
Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answers
Answer: pretty sure 25 feet
Step-by-step explanation:
The rectangle below has an area of 81-x^281−x
2
81, minus, x, squared square meters and a width of 9-x9−x9, minus, x meters.
Answers
Answer:
1
Step-by-step explanation:
1x1
what dose 0.31 × 1.4 =
Answers
What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45
Answers
Answer:
c
Step-by-step explanation:
20w=4w*5w
45WT=5WT*9WT
How does the graph of g(x) compare to the graph of the parent function f(x)?
Answers
thinking you braindead mf
Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1 and 3 over 4 pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1\frac{3}{4} pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?
Answers
Answer:
$8.75
Step-by-step explanation:
STEP TO TAKE TO DETERMINE THE ANSWER
Multiply 13/4 pounds by the cost of one pound of peanut. To do this, convert 13/4 to an improper fraction and then multiply it by $5
[tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4}[/tex] × 5 = [tex]\frac{35}{4}[/tex] = [tex]8\frac{3}{4}[/tex] = $8.75
Compare the graph of y = 4x and y = 4x + 1.
how are they the same how are they different
Answers
Answer:
Step-by-step explanation:
Notice that the difference is in the y-intercept. The first equation has a y-intercept of 0 since y = 4x + 0, the second has a y-intercept of 1 since
y = 4x + 1. In other words, the graph is translated up 1 unit to cross at (0,1) instead of (0,0)
WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.
Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.
Answers
Answer:
D
Step-by-step explanation:
12.50 x 5 = 62.5
62.5 + 20 = 82.5
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answers
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
Answers
1500+5%= 1505 that is the answer I got I hope this was helpful
PLEASE HELP ME SLOVE
Answers
A.72
B.6
C.12
D.4/41
Answers
[tex]{ \sf{ \red{using \: pythagoras \: theorem}}} \\ \\ { \sf {(20)}^{2} - {(16)}^{2} = {x}^{2} } \\ \\ { \sf{400 - 256 = {x}^{2} }} \\ \\ { \sf{144 = {x}^{2} }}[/tex]
[tex]{ \sf{x = \sqrt{144} }} \\ \\ { \boxed{ \boxed{ \green{x = 12}}}}[/tex]
option (C)
Look at the picture please
Answers
Answer:
c=10
Step-by-step explanation:
Hope it helps. Doing all your questions that you send XD
Answer:
10
Step-by-step explanation:
using the pythagorean theory the missing side would be [tex]c^{2}[/tex] bs its the hypotenuse so
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]8^{2} + 6^{2} = c^{2}[/tex]
[tex]64 + 36 = c^{2}[/tex]
[tex]100 = c^{2}[/tex]
and the square root of 100 is 10, which makes your equation
[tex]c = 10[/tex]
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answers
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
you now have two congruent right triangles with 7ft and 12ft long legs
Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)
7^2 + 12^2 = c^2
49 + 144 = c^2
c^2 = 193
Square root both sides to get rid of the ^2
c = 13.9 ft
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ
Answers
Answer:
It's symmetrical to the origin
Step-by-step explanation:
Use desmos for further graphing
y is less then or equal to 1/2x plus 2
Answers
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
NEED HELP ASAP PLEASE
Answers
Answer:
729
Step-by-step explanation:
9x9x9 = 729 in^3
