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
the perimeter of a rectangle is 240 ft., If the length is 12 ft., then what is the width
Answers
Answer:
w=108
Step-by-step explanation:
Using the formula
P=2(l+w)
Solving for w
w=P /2﹣l = 240 /2﹣12 = 108
Answer:
width=20
Step-by-step explanation:
the area of a rectangle= length times width
12x=240
then you divide 12 by both sides, so the answer is 20
|X+1|+|x-2|=3. Can you please help me?
Answers
Answer:
I can answer if you make me brainliest
please i am struggling allot please
Answers
Answer:
The tree grows 3,14 centimeters per year
Identify the volume of a square pyramid with base edge length 18 cm and height 16
Answers
Answer:
1728
Step-by-step explanation:
For positive acute angles A and B, it is known that cos A= 60/61 and tan B= 45/28. Find the value of sin(A+B) in simplest form
Answers
Answer:
[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]
And that the two angles A and B are both in QI (positive acute angles).
Given this, we want to determine the value of sin(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:
[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]
Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:
[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]
In conclusion:
With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.
With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.
We can rewrite our original expression as:
[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]
And since A and B are both in QI, all trigonometric ratios will be positive.
Using the above conclusions, substitute:
[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]
Simplify. Hence:
[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]
Use the distributive property to rewrite each expression in its equivalent form
Answers
Answer:
picture?
Step-by-step explanation:
write a real world problem that could be represented by 1/5 x 5 = 1
Answers
Answer:
Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?
which of the following numbers is a prime number greater than 23?
a)17 b)24 c)25 d)29 please no links
Answers
There are 90 kids in the band. 20% of the kids own their instruments, and the rest rent them. What percentage of kids either rent or own and instrument
Answers
Answer:
im conufesed
Step-by-step explanation:
Answer:
18 kids own their own instruments
72 kids rent instruments
80%rent 20%own
Step-by-step explanation:
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /
Answers
Answer:
The probability of pulling out a blue marble is 33.3%.
Step-by-step explanation:
Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:
28 - 1 = 27
9/27 = X
0.333 = X
0.333 = 33.3%
Therefore, the probability of pulling out a blue marble is 33.3%.
Could someone pls help?
Answers
She Henie tjebrirbid
How many lines of symmetry does this shape appear to have?
Answers
Answer:
There are 6 lines of symmetry.
1.What is greater? - 7,500 pounds or 4 tons? 2.What is greater? - 1/2 ton(s) or 1,000 pounds? Please help! This is due in 9 minutes .~.
Answers
Answer:
4 tons is greater
1/2 is greater
Because one ton is equal to 1,000 pounds
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
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
A) Ed
Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.
Answer: Ed
Step-by-step explanation:
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answers
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
The product of a number and 3 increased by 9 is less than -42
TRANSLATE
Answers
Answer:
3x+9 < - 42
Step-by-step explanation:
Find the perimeter of quadrilateral ABCD. Round your answer to the nearest hundredth. A(3, 5) B(1, 3) C(3, -1) D(5, 3)
Answers
Answer:
Perimeter = 4(√2 + √5) units
Step-by-step explanation:
Given:
Quadrant of 4 points;
A(3, 5) B(1, 3) C(3, -1) D(5, 3)
Find:
Perimeter
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between AB = √(3 - 1)² + (5 - 3)²
Distance between AB = √4 + 4
Distance between AB = 2√2 units
Distance between BC = √(1 - 3)² + (3 + 1)²
Distance between BC = √4 + 16
Distance between BC = 2√5 units
Distance between CD = √(3 - 5)² + (-1 - 3)²
Distance between CD = √4 + 16
Distance between CD = 2√5 units
Distance between DA = √(5 - 3)² + (3 - 5)²
Distance between DA = √4 + 4
Distance between DA = 2√2 units
Perimeter = sum of all sides
Perimeter = 2√2 + 2√5 + 2√2 + 2√5
Perimeter = 4√2 + 4√5
Perimeter = 4(√2 + √5) units
Mason made 5 quarts of salsa. Which of the following can be used to find the number of cups of salsa Mason made.
A: 5x2x5
B: 5x4x4
C: 5 divided by 2 divided by 2
D: 5x4 divided by 2
Answers
Answer:
A
Step-by-step explanation:
Help if you can!
Also, show work
thxxx <3
-10 pts
Answers
Answer:
1. A. 66 cubic inches.
2. A. 151,410,000
Step-by-step explanation:
For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.
For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.
Once you have that, divide it by 2 and will give you 151,410,000.
Sarah normally earns £600 each month. In December she is given a bonus of 1/5 of her normal pay. How much will she now earn this month?
Answers
Answer:
720
Step-by-step explanation:
First you divide 600 by 5 to get 1/5 if the 600 which is 120
Then you add the 120 to the 600 which is your answer 720
Question is down in the image|||
Answers
Answer:
A
Step-by-step explanation:
Find 0% of 48:
Find 100% of 48:
Find 50% of 48:
Find 25% of 48:
Find 75% of 48:
Answers
Answer:
0
48
24
12
36
Step-by-step explanation:
If K is the center of the circle, which line segment is the radius?
Answers
the line segment KN is the radius
Which phase is a description of the expression below 15-7n
Answers
Answer:
[see below]
Step-by-step explanation:
-7n is getting subtracted from 15.
7n is 'the product of 7 and n'
15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/
Hope this helps.
simplify the expression: 1-sin^2x/secx
Answers
Answer:
cos (x)
Step-by-step explanation:
If f(x)=x^2-1 Find f(-3) f(0) f(2) f(a) and f(a+1) first to answer gets brainliest
Answers
here you go, hope this is helpful!
Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?
Answers
Find total centimeters by multiply total steps by centimeters per step:
15 x 60 = 900 centimeters total needed.
Convert centimeters to meters by dividing total centimeters by 100:
900/100 = 9
He will need 9 meters
Answer:
Ms nelson need 900 centimeters of carpet
Step-by-step explanation:
15 times 60 cm = 900cm
Kristy rides 6 miles on her bike in 40 mins. Jax rides his bike 4 miles in 30 mins. Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all
Answers
Answer:
12
Step-by-step explanation:
Answer:
Jax 4,8,12,16,20
And the last box is 60
Step-by-step explanation:
Find the area of the figure.
Answers
Answer:
30 units^2
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
Multiply length times width
Each side is 6 units. That would be your length
And both the top and bottom are 5 units each. This would be your width.
5 times 6= 30