Part A
Consider the equation of two lines.
Line 1: -3x – 3y = 6.
The slope of the first line is
Line 2: 4x + 4y = 8.
The slope of the second line is
Part B.
What can we infer about the two lines?
PLEASE HELP
Answers
Answer:
-1 ; -1 ; the two lines are parallel
Step-by-step explanation:
To find the slope of the two lines, we can proceed in two different ways:
1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y
line 1: m = 3/-3 = -1 line 2: -4/4 = -1
2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x
line 1
-3y = 3x+6
-y = x + 2
y = -x -2
m = -1
line 2
x+y = 2
y = -x +2
m = -1
the two lines have the same slope, so they are parallel
Related Questions
Angela rented a car for $29.99 a day plus a one-time insurance cost of $5.00. Her bill was $124.96. For how many days did she rent the car? Write an equation and then solve
Answers
Answer:
94 days
Step-by-step explanation:
That's a cheap rent-a-car place :)
Btw I took the test.
A seal has 1,500 nerve per whisker. That is 10 times as many as a rat has. How many nerve per whisker does a rat have?
Answers
Answer:
150
Step-by-step explanation:
1500 divided by 10
There are 150 nerve per whisker does a rat have.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A seal has 1,500 nerve per whisker.
That is 10 times as many as a rat has.
So, the number of nerve per whisker does a rat have
= 1500/ 10
= 150 nerve
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In ΔMNO, the measure of ∠O=90°, OM = 1.7 feet, and NO = 6.7 feet. Find the measure of ∠N to the nearest degree.
Answers
Answer:
14
Step-by-step explanation:
Tan = opposite / adjacent = 1.7 / 6.7
tan N= 1.7 / 6.7
N = 14.237 = 14
Answer:
14
Step-by-step explanation:
the guy above knos why
What is the vertex of the parabola f(x) = x^2 – 2x – 8 that has an axis of symmetry at 2 = 12
A (2,-8)
B (1,-9)
C (3,-5)
D (4,0)
Answers
Answer: i am pretty sure it is c
OR A
NOT SURE THOUGH trust ur gut
Step-by-step explanation:
Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes
Answers
Answer:
She has 18 combinations to choose from
Step-by-step explanation:
The tree diagram is as follows
yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║
green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)
║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║ ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
║
║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ pair of shorts (s)
║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)
║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)
Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from
She has 3*3*2= 18 combinations to choose from
solve the quadratic equation
8x^2+16x+8=0
Answers
Answer:
8x²+16x+8=0
x²+2x+1=0
D=4-4=0
x0=-2/2=-1
Answer:
x = -1Step-by-step explanation:
[tex]8x^2+16x+8=0[/tex] {divide both sides by 8}
[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]
I really need to know the answer of this question
Answers
Answer:
Amir 20 Rita 45
Step-by-step explanation:
20/4=5
5*9=45
so this satisfices the ration 4:9
Answer:
Amir : 20 sweets and Rita : 45 sweets
Step-by-step explanation:
Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.
we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.
A researcher is trying to identify whether household substances are basic. Which approach would BEST help the researcher investigate
whether substances are basic?
A. Observe each substance and record its color.
o B. Measure the temperature of each substance.
C. Test each substance with red litmus paper.
OD. Mix each substance with a weak base and record the results.
Answers
Answer:
C. Test each substance with red litmus paper.
Step-by-step explanation:
C is the correct answer because when you apply a base with a red litmus paper the outcome color should result in blue.
The best approach best investigate whether substances are basic is to test each substance with red litmus paper.
What is basic compound?In general, bases are substances that can neutralise a small amount of acid. Ammonia and sodium carbonate are both bases even though neither of them includes OH groups.
When in contact with basic chemicals, red litmus paper turns blue instead of red. Thus we should use red litmus paper to test the basicity of home items.
Acids are the only substances that bases react with, hence using weak bases will not produce the intended results since weak bases only partially dissociate.Color does not indicate basicity or acidity.The acidity of a substance can be determined by placing red litmus paper in contact with acid, which causes the paper to turn blue.Hence, the test each substance with red litmus paper.
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I need help with this problem, please.
Answers
Answer:
Area- 201.14
circumference- 50.3
I used 22/7 for pi = area
circumference- pi-3.14
Step-by-step
find the circumference and the area of the circle with a diameter of 15ft
Answers
Answer:
Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715
Solve for the number problem 11
Answers
Answer:
1,000
Step-by-step explanation:
10x10x10 = 1,000
this lock has 1,000 possible combinations
What are the next three terms in the sequence 3, 6, 9, 12, ...?
Answers
Answer:
15, 18, 21
Step-by-step explanation:
What is the height of the token?
A.
B.
C.
D.
Answers
Answer:
c. 5cm
Step-by-step explanation:
25=½(3+7)*h
25*2=10*h
50/10=h
5cm =h
We’re doing similarity and I’m really confused
Answers
Answer:
Hello its ok Love!
I believe x = 2 hope this helps good luck!
Answer: 2 ft
Step-by-step explanation:
18 / 4.5 = 4
8 / 4 = 2
Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12
Answers
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.
The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes.
Number of students in randomly
selected class
Mean Mean absolute
deviation
19
1.2
Kindergarten 17, 18, 19, 21, 20
Seventh 25, 30. 27, 29, 34
grade
29
2.4
Based on these data, which statement is true?
Answers
I think its option B) The average size of a seventh-grade class is larger and varies more than that of a Kindergarten-class.
it c. i think
Step-by-step explanation:
Identify the second quartile in the box-and-whiskers plot
The median of the data set is
(attached)
.
Answers
Answer:
The median is 58
Step-by-step explanation:
Answer:
The answer is 58
Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?
A 12%12%
B 22%22%
C 75%75%
D 88%
Answers
Answer:
Answer D 88%
Step-by-step explanation:
To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%
(っ◔◡◔)っ ♥ Hope It Helps ♥
Each day Theo versus dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answers
Answer: 280 minutes
Step-by-step explanation:
Given
Expression is [tex]7\times (15+25)[/tex]
Apply distributive law i.e.
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]
Thus, theo dog took 280 minutes each week
A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school?
A. $75,750 C. -$13,950
B. $210,750 D. $239,250
Answers
Answer:
B
Step-by-step explanation:
Its 210,750 i took the quiz. You have to plug in 750 to all the x's.
Determine the horizontal and vertical axis intercepts: r = 36 + 70sin θ.
Please show your work need help!
Answers
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
Refer to the equations for a limaçon:
y=a+bcos∅ (horizontal line of symmetry) and y=a+bsin∅ (vertical line of symmetry) where a/b determines the type of limaçon.
This is an inner loop limaçon because 36/70<1, so its horizontal axis intercepts are 36 and -36 (marked in red) and its vertical axis intercepts are 0, 36+70=106 and 70-36=34 (marked in green)
The sum of the measurement of angle M and angle R is 180 degrees
Answers
Answer:
5
Step-by-step explanation:
it is 5
The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?
Answers
Answer:
??? 208 ???
Step-by-step explanation:
Answer:
Answer:
208
Step-by-step explanation:
The general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base.
I need help what do I have to do plz if you don’t know the answer don’t write nothing thank you
Answers
1. The range of guest on New Year's Eve was 15>
2. About 50% of Thanksgiving dinners had 17 or more people.
3. Everyone had at least one guest over for dinner at Thanksgiving.
4. The IQR of Thanksgiving dinner was 20.
5. The median number of people at New Years' Eve dinner was 15.
6. Three-fourths of New Years' Eve dinners had five or more people.
Answers
Answer:
1.False
2. True
3.) True
4. False
5.) False
6.) True
Step-by-step explanation:
1.)
Range = maximum - minimum
New year's eve :
Maximum = 22 ; minimum = 3
Range = 22 - 3 = 19
2.)
Median for Thanksgiving = 17
50% up to 17 ;hence the remaining 50% is also 17 and above
4.)
IQR for Thanksgiving
Q3 - Q1
23 - 12 = 11
5.)
The median number of people at new year's eve for dinner was 7 (line in between the box)
6.)
3/4th of new year eve's dinner = Q3 = 15
1/4 = Q1 ; have up to 5 people
Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above
Answer:
1.False
2. True
3.) True
4. False
5.) False
6.) True
Step-by-step explanation:
A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 81 degrees. How high does the ladder reach on the building? the answer is in ft
Answers
Answer:
25.7 feets
Step-by-step explanation:
From the diagram attached, we could use trigonometry to obtain the height,h :
Using the trigonometric relation :
Sin θ = opposite / hypotenus
Opposite = h
Hypotenus = 26 feets
Sin 81° = h / 26
Height, h = 26 * sin 81°
h = 26 * 0.9876883
h = 25.679
Height, h = 25.7 feets
there is given the numbers equals to 8 and DC equals to 3.2 and BE quals to 9 and find BC
Answers
Given:
Consider [tex]AB\parallel DE[/tex] in triangle ABC and [tex]AD=8,DC=3.2,BE=9[/tex].
To find:
The length of BC.
Solution:
Basic proportionality theorem (BPT): If a line intersect the two sides of triangle and parallel to the third side, then that line intersects the other two sides proportionally.
Using Basic proportionality theorem, we get
[tex]\dfrac{AD}{DC}=\dfrac{BE}{EC}[/tex]
[tex]\dfrac{8}{3.2}=\dfrac{9}{EC}[/tex]
On cross multiplication, we get
[tex]8\times EC=9\times 3.2[/tex]
[tex]EC=\dfrac{28.8}{8}[/tex]
[tex]EC=3.6[/tex]
Now,
[tex]BC=BE+EC[/tex]
[tex]BC=9+3.6[/tex]
[tex]BC=12.6[/tex]
Therefore, the length of side BC is 12.6 units.
An ice cream cone has a radius is 3 cm and a height of 7.5 cm. Which amount is
closest to the volume of the ice cream cone?
F 71 cm
G 212 cm
H 141 cm
J 47 cm
Answers
Max is going to eat either a slice of pie, an apple, or drink a cup of cider for a snack. He is also going to buy pumpkin or a hat. How many different ways can max eat one snack or buy one item
Answers
Answer:
6 different ways
Step-by-step explanation:
pie, pumpkin
pie, hat
apple, pumpkin
apple, hat
cider, pumpkin
cider, hat
Someone help me out please
Answers
Answer:
Coordinates are
(1,-5)
(-6,1)