Answers
Answer:
(a) Same slope and different y intercept
Step-by-step explanation:
Given
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]-3x + 7y = 13[/tex]
Required
Are the lines, parallel?
To do this, we first convert both equations to slope intercept;
[tex]y = mx+ b[/tex]
Where
[tex]m = slope[/tex]
So, we have:
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]-3x + 7y = 13[/tex]
Solve for 7y
[tex]7y = 3x + 13[/tex]
Solve for y
[tex]\frac{7y}{7} = \frac{3x}{7} + \frac{13}{7}[/tex]
[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
So, the two equations are now:
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
When two lines have the same slope but different y intercepts, then they are parallel.
Recall that:
In [tex]y = mx + b[/tex]
[tex]m = slope[/tex]
[tex]b = y \ intercept[/tex]
So:
In [tex]y = \frac{3}{7}x + 11[/tex] and [tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
The slopes are:
[tex]m = \frac{3}{7}[/tex] and [tex]m = \frac{3}{7}[/tex]
The y intercepts are:
[tex]b = 11[/tex] and [tex]b = \frac{13}{7}[/tex]
Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel
Related Questions
A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?
Answers
Answer:
$7.33
Step-by-step explanation:
22=3/4x
22/.75=22*4/3=29.3333333
$29.33-$22=$7.33
A discounted from the original price of the Blu-ray disc will be $5.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Cost of a Blu-ray disc = $22
The sale on the cost of a Blu- ray = 25%
Now,
Find the discounted price of a Blu-ray as;
Discounted price = 25% of $22
= 25 x $22 / 100
= $550/100
= $5.5
Thus, A discounted from the original price of the Blu-ray disc will be $5.5.
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use the laws of Sines and law of cosines to find missing Dimensions. Part 2
Answers
9514 1404 393
Answer:
13. (A, b, C) = (30.66°, 91.042, 25.34°)
14. insufficient information
Step-by-step explanation:
13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.
b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59
b ≈ 91.042
__
A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°
C = 180° -124° -30.66° = 25.34°
The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).
__
14. One side and one angle do not define a unique triangle. There is insufficient information to find f.
Find the area of the shape below
Answers
New car is purchased for $20,700 dollars. The value of the car depreciate at 5% per year. To the nearest 10th of the year, how long will it be Until the value of the car is at $14,900 dollars ?
Answers
Answer:
6.4,,,,,,,,,,,,,,****
The following picture shows a saguaro cactus, a type of desert plant. Instead of leaves, this cactus has sharp needles. o How do sharp needles help a cactus survive in a desert?
A. They protect it from animals that want to eat it.
B. They attract Insects and birds that pollinate It
C. Thev help it get sunlight when it is dim or shadv.
Answers
The Red Knight can run 12 yards in 2 minutes. How many yards can he run in 55 minutes ?
Answers
Answer:
330
Step-by-step explanation:
Because he runs 6 yards in 1 minute so if we multiply 55 x 6 we get 330.
Answer:
330
Step-by-step explain
12/2=6
55x6=330
I have to go to a few places but my friend needs help with this specific equation!
Thank you!
~Hocus Pocus
Answers
Answer:
Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:
7x+x+20=180
Then, you combine the xs and you would get this:
8x+20=180
Then, subtract 20 from both sides like this:
8x=160
Lastly, you would divide 8 by both sides and get x which is:
x=20
Step-by-step explanation:
I hope this helped you!
A number d is greater than −5.
Answers
Answer: d > -5
Step-by-step explanation: Just convert the greater than into a symbol, and you'll be good to go.
Hope this helps!
-10/3 rational or irrational number
Answers
Answer:
-10/3 is a rational number
Step-by-step explanation:
Rational numbers are the ratios of two integers.
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
Step-by-step explanation:
B is the correct answer.
Answer:
B
Step-by-step explanation:
im smart
Trying this one more time someone please hel
Answers
Answer:
G
Step-by-step explanation:
Select G, it does not show ratio of students to teachers is 13:3.
3s=13t means 3 students to 13 teachers
which expression is equivalent to 8^8x8^-5
Answers
Step-by-step explanation:
{(2)³}⁸×{(2)³}-⁵
2²⁴× 2-¹⁵
2²⁴-¹⁵. ( subtract 24 and 15)
2⁹= 512
So...
8×8×8= 512
hence
8³ Answer
Three friends all have ages that are consecutive integers. The sum of their
ages is 57. What is the age of the oldest friend?
Answers
Answer:
Friend C would be 20 years old
Step-by-step explanation:
Consecutive integers are integers that follow each other
In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:
A + B + C = 57
If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:
A + (A + 1) + (A + 2) = 57
3A + 3 = 57
3A = 54
A = 18
So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.
Answer:
20 years old
Step-by-step explanation:
3x + 3 = 57
3x = 54
x = 18
X + 2 = 18 + 2
Answer = 20 years old
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?
Answers
Answer:
1 1/3 x 1/3 =234/6
Step-by-step explanation:
your mama
Find a fraction that, when multiplied by 1/3, is less than 2/7. Justify your answer.
Answers
Step-by-step explanation:
[tex]x < \frac{6}{7} [/tex]
All the fractions which less than (6/7) will be true
The steps of the solution in the above photo
I hope that is useful for you :)
Answer:
1/2 times 1/3
Step-by-step explanation:
Multiply them and you get 1/6 which is less than 2/7.
Change 1 hour 25 minutes 29 seconds to seconds
Answers
Answer:
remember
1h=60min
1min=60 sec
now come to the question
1h=60min
1min=60 sec
60min=60×60=3600sec in 1hour
25min=60×25=1500sec in 25 min
total all sec=3600+1500+29=5129sec
Step-by-step explanation:
Answer:
5129
Step-by-step explanation:
So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100
For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes.
Answers
Answer:
6lb meat2.5lb potatoes5Ib carrotsStep-by-step explanation:
M + P + C = 13.5
6M + 3P + C = 48.50
OM + 2P - C = O
2P = C
Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.
HELPPPPPP PLZZZ, find the height of the figure below with the given volume.
Answers
given the measures of an angle below give the measure of complement and supplement
Answers
Answer: Where's the picture of the angle?
Step-by-step explanation:??
Find the sum: (7b
-4) + (-2b+1).
Answers
Answer:
=5b-3
Step-by-step explanation:
(7b -4) + (-2b+1).
Remove parenthesis;
7b-4+-2b+1
Group like terms;
=7b-2b-4+1
Add similar element
7b-2b=5b
=5b-4+1
Add/subtract the numbers
=5b-3
Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO
HOPE THIS HELPED!!!
Abag contains 2 Snicker
bars, 8 Trix bars, and 5
Crunch bars. A candy bar
is chosen, replaced, then
another is chosen. What is
the probability of choosing a
Trix bar then a Crunch bar?
Answers
Answer: the probability will be 3 because 8-5=3 and there was 8 trix bars and 5 crunch bars and which means it will be 3
Step-by-step explanation:
Find the amount of money that will be accumulated in a savings account if $7050 is invested at 5.0% for 25 years and the interest is compounded continuously. Round your answer to two decimal places.
Answers
Answer:
$24606.92
Step-by-step explanation:
P(t) = P(0) e^rt P(0) money at the beginning r =%/100 P(t) = future value
= 7050 e^(0.05 · 25) e = inv natural log (1)
= 7050 · 2.71828^1.25
= $24606.92
Is the following statement true or false?
A parabola opens up when a is positive.
A True
B False
Answers
Answer:
trueeeeeeeeeeeeeeeee3
Answer:
if a is positive the parabola opens up to the right and it's a negative it opens down
A concession stand charges $5.75 for 5 muffins. What is the cost per muffin?
A
$1.00
B
$1.15
С
$28.75
D
$10.75
Answers
Answer:
B- $1.15
Step-by-step explanation:
5.75 divided by 5 equals 1.15
What is the product?
(-20+5)502-68)
0-100 + 17025-652
0 -100A + 17^52-652
-100A-70225-652
0 -100A +17028+682
Answers
can someone please help me? I really need help
Answers
Answer:
x=49
<A=90
<E=147
Step-by-step explanation:
A can holds 753.6 cubic centimeters of juice. The can has a radius
of 4 centimeters. What is the height of the can? Use 3.14 for π and round to the nearest tenth. PLS HELP :D
Answers
Answer:
result = 15cm
Step-by-step explanation:
Hi! to can solve this, we have to keep in mind this formulas:
1) Area of a circuference:A1 = π [tex]r^{2}[/tex] ; where r = radius
2) Area of a cylinder:A2 = (π [tex]r^{2}[/tex]) * (h) ; where h= height
now we solve:
first, we have to calculate the area of the circumference
A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]
then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:
A2 = (π [tex]r^{2}[/tex]) * (h)
[tex]753.6cm^{3}[/tex] = [tex]50.24cm^{2}[/tex] * (h)[tex]\frac{ 753.6cm^{3} }{50.24cm^{2} }[/tex] = hh = 15cm
Find the surface area of the prism below. In square meters
Answers
9514 1404 393
Answer:
96 m²
Step-by-step explanation:
The total area of the two triangular bases is ...
A = 2(1/2)bh = bh
A = (3 m)(4 m) = 12 m²
The total area of the rectangular faces is ...
A = Ph = (3 m +4 m +5 m)(7 m) = 84 m²
Then the total surface area of the prism is ...
12 m² +84 m² = 96 m² . . . prism surface area
What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a horizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Answers
Answer:
C: [tex]y = 6 \sin (8(x-\frac{\pi}{2} ))[/tex]
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
What is Sine Function?The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
Here, Amplitude = 6, P=π/4, and S=π/2
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A · sin(2π/P(x -S))
f(x) = 6·sin(8(x -π/2))
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).
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Which of the following explains why cos60º = sin 30° using the unit circle
Answers
Answer:
A I just guested
Step-by-step explanation:
