the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?
Answers
Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = [tex]\frac{1}{3}[/tex]
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{-13+12}{12-15}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = [tex]\frac{-9+7}{18-24}[/tex]
= [tex]\frac{1}{3}[/tex]
Both the lines are parallel having no point of intersection.
Option C
Slope = [tex]\frac{-20+21}{15-18}[/tex]
= [tex]-\frac{1}{3}[/tex]
Therefore, both the lines will intersect.
Option D
Slope = [tex]\frac{-15+14}{30-36}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other.
Option E
Slope = [tex]\frac{-11+10}{24-30}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
Related Questions
Find the area of the rectangle.
a rectangle with a side length of three eighths and a side width of five sevenths. The lengths are measured in meters
Answers
There are 18 black socks and 12 navy socks in your drawer. The room is dark and you can't turn on the light. What is the least number of socks that you have to take you of the drawer to be certain that you have a pair of the same color? The solution is a number.
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
The largest number you can take without having a pair is the number of colors, 2. One more sock must match one already in hand.
You must take one more than the number of colors:
2 + 1 = 3
You must take 3 socks to be certain of a pair the same color.
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answers
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.
Freddy usa gráfica para resolver el sistema de ecuaciones piensa 2 líneas que son gráficas de ecuaciones se cruzan en el punto 1,5 esta coordenada está en la forma número de pasos diarios número de pases de temporada o (d,s)
Freddy quiere comprobar su respuesta sustituyendo el punto 1,5 en ambas ecuaciones
arrestre de los mosaicos a las ranuras apropiadas para verfificar si este punto es una solución de sistema de ecuaciones
el punto 1,5 una solución a la ecuación d+s = 6 el punto 1,5 una solución la ecuación 10d + 28s = 78
el punto 1,5una solución sistema de ecuaciones
Answers
Answer:
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Maddox has $12.25 to spend on sports
drinks. Each drink costs $1.75. Use the
guess, check, and revise strategy to solve
the equation 1.75d = $12.25 to find d, the
number of drinks Maddox can buy.
Answers
your answer would be 7, maddox can buy 7 things
Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles
Answers
Answer:
2 stalls
Step-by-step explanation:
Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles
1 stall = 4 bundles
4 bundles = 1 stall
11 bundles = x
Cross Multiply
4x = 11
x = 11/4
x = 2 3/4 stalls
The greatest number of stalls he can build is 2 stalls
The graph shows the number of cups of coffee Sherwin consumed in one day and the number of hours he slept that same night:
A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4.
How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee?
Answers-
1, because y = −x + 10
9, because y = −x + 10
2, because y = −x + 10
10, because y = −x + 10
Answers
Answer:
1, because y = -x + 10
Step-by-step explanation:
Good Luck! c:
Answer:
1, because y = −x + 10
write the indicated trig ratio as a fraction
Sin K =
Answers
How does paragraph 2 help to develop the main ideas of the text?
A
It argues that a university education is less important than national service,
B
It introduces the idea of giving back to society through national service,
It outlines the similarities between academic learning and national service
D
It presents some financial reasons for students to consider national service,
Answers
Standard Questions
1
2
N
Question Progress
Rearrange t = 5s + 4 to make s the subject.
Answers
Answer:
[tex]s = \frac{1}{5}t - \frac{4}{5}[/tex]
Step-by-step explanation:
Subtract 4 and divide by 5 to obtain
[tex]t=5s + 4\\s = \frac{t-4}{5}\\s = \frac{1}{5}t - \frac{4}{5}[/tex]
Question
1 A rectangular block of steel measures 4 cm x 2 cm x 1.5 cm. Its trass is 93.6g.
Calculate the density of steel.
b Steel is made almost entirely of iron atoms, but it is denser than iron.
Suggest a reason for this.
a
Answers
Answer:
[tex]d=7.8\ g/cm^3[/tex]
Step-by-step explanation:
Given that,
The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm
Mass, m = 93.6 g
We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,
[tex]d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3[/tex]
So, the density of the steel is [tex]7.8\ g/cm^3[/tex].
3 cans of pepsi costs £2.40. The cost is
directly proportional to the number of cans.
How much will 7 cost?
Answers
Each can is 80p, so 7 cans is £5.60
Select the correct answer.
Answers
Answer:
a
Step-by-step explanation:
i did this test and question beforer si know what it iso
what integer best represents a withdraw of $40. please hurry its due asap.
thanks so much
Answers
Answer:
-40 your welcome
Step-by-step explanation:
The perimeter of the figure is 17 centimeters. Find the missing side length.
Answers
Answer:
7
Step-by-step explanation:
3+3+4=10
17-10=7
you're welcome
please helpppp and explain
Answers
Answer:
angle BAC=50-2x
Step-by-step explanation:
angle ACD=115+x
then, angle ACB=180-(115+x) because it is a supplementary angle
angle ABC=angle ACB because it is an isosceles triangle
angle BAC=180-2[180-(115+x)]
angle BAC=180-360+230-2x
angle BAC=50-2x
2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular pyramids. How much clay did he use to create all the pyramids?
Answers
Answer:
[tex]124.16[/tex] cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids
[tex]3 * \frac{BH}{3} = BH[/tex]
Substituting the given values in above equation, we get -
[tex]15.5 * 5 = 77.5[/tex] cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids
[tex]2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}[/tex]
[tex]46.67[/tex] cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid [tex]= 77.7 + 46.67 = 124.16[/tex] Cubic centimeter
Need help with mymathlab problem
Answers
Answer:
not question no answer
Step-by-step explanation:
sana po magets nyo po
I just asked a bouch of math questions
Go to my proflie and answer them
Im begging you
Answers
Answer:
ok
Step-by-step explanation:
Ok
Ok
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Ok
Simplify 32 ⋅ 35.
37
310
97
910
Answers
Answer:
D=9/10
Step-by-step explanation:
For this case we must simplify the following expression:
3/2 +3/5
To multiply the fractions we must multiply numerator with numerator and denominator with denominator, that is:
3+3/2+5=9/10
Hi. I hope this will help you for future references.
<3
If you are not talking about exponents:
First, multiply the numbers.
35*32=1120
Your answer ---> 1120
160+960=1120
__________________________________________________________
If you ARE talking about exponents, then you should start like this:
3⋅3
3⋅3⋅3⋅3⋅3
there are 7 3s, so your answer would be 3^7
Hope I helped you out a bit here and gave you a better view on both sides of this question
Asia Gil <3
What is the Slope of the segment With endpoints at (300, -2) (500, 6)?
Answers
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
to find slope: [tex]m = \frac{y_2 - y_2}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - (-2)}{500-300} = \frac{8}{200\\}\\m = \frac{1}{25}[/tex]
Write
3
2
3
as an improper fraction.
Answers
Step by step
Easy multiply 3 by 3 then add 2 that should be your top answer then keep your bottom 3 as your answer
Answer 11/3
Answer:
11/3
Step-by-step explanation:
3 times 3 equal 9 plus 2 equal 11
2x + (3)(x) + (3)(4)
Answers
Answer:
if you were looking for the solution i think it is Solution
5 + 1 2
Step-by-step explanation:
Answer:
the answer is 5x + 12
Step-by-step explanation:
because its the tight answer.
Pre Algebra Decemile 2
Y+0.9=1.4=y
Answers
If you mean. y + 0.9 + 1.4 then the answer would be
[tex]y + 2.3[/tex]
for A class trip, 144 students are put on 4 buses .At this rate how many students would be on 8 buses. Plz put work
Answers
Answer: 288 students
Step-by-step explanation:
First Step: find the number of students per bus
Given
- 144 students
- 4 bus
Solve
144 students/4 buses=36 students/bus
Second Step: apply the rate to find the number of students in 8 buses
Given
- 8 buses
- 36 students/bus
Solve
8×36=288 students
Hope this helps!! :)
Please let me know if you have any questions
Constructed Response you have an economic decision to make. You have $50.00 to spend. Should you purchase sports equipment to use at home, a ticket to attend a professional sporting event, or sports memorabilia for your football collection ?
Answers
Answer:
Step-by-step explanation:
From a business standpoint, I think the smartest decision would be either the sports equipment or the memorabilia. Each has pros and cons so it depends on you. The sporting event would be the worst option as it is something that can most likely be viewed for free online. The sporting equipment will still hold monetary value and can be resold as well as providing you with other value if used properly such as being healthier and/or putting on muscle. The Sports Memorabilia would not provide real life value but may increase in monetary value and have a much higher resale value than the equipment.
The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?
Answers
Answer:
Step-by-step explanation:
a+b=36
lets name the 2 numbers a,b
b=a+18
a+a+18=36
2a=36-18
2a=18
a=9
b=27
Answer:
the numbers are 9 and 27
Step-by-step explanation:
equation to the problem: x+y=36
one number (y) is 18 times greater than the other number (x): x+18=y
plug in the 2nd equation to the first equation (systems of equations):
x+(x+18)=36
solve the equation:
2x+18=36
*minus 18 on both sides*
2x=18
*divide the whole equation by 2 to get the value of just one x*
x=9
since variable x is the n smaller number, add 18 to 9 to get the 2nd number:
18+9= 27
y=27
The scale of a model train is 1 inch to 13.5teet One of the cars of the model train is 5 inches long-
What is the length, in feet, of the actual car?
Show work
Answers
Given :
The scale of a model train is 1 inch to 13.5 feet.
One of the cars of the model train is 5 inches long.
To Find :
The length, in feet, of the actual car.
Solution :
It is given that scale of the model is 1 inch to 13.5 feet. It means that 1 inch in the actual scale is equal to 13.5 feet in real.
So, length of car real is :
Length = 5 × 13.5 feet
Length = 67.5 feet
Therefore, the length of the actual car is 67.5 feet.
Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.
Answers
Answer:
Total cost: $30.99
Daniel will have $19.01 left to spend.
Answer:
Daniel can buy 1 shirt
Step-by-step explanation:
We can write an equation out of what they give us in the question.
Each shirt is $20, this can be represented as 20s.
All shipping on orders cost $10.99, this can be represented as 10.99s.
S represents how many shirts Daniel will buy.
The equation is written out like this:
[tex]20s + 10.99s \leq 50[/tex]
Combine like terms:
[tex]30.99s \leq 50\\[/tex]
Now solve
[tex]s \leq 1.6[/tex]
Therefore, if Daniel can only buy one shirt if he has only $50 to spend.
We can't have 2 shirts because that would exceed the $50 limit.
Hope this helps!!
- Kay :)
A ladder 17 m long reaches a window 8 m high on one side of the road. the ladder is then turned over to the opposite side of the road and is found to reach another window 15 m high. Find the width of the road.Please apply the pythgoras property .
Answers
Answer:
23 mStep-by-step explanation:
It is assumed the width of the street is the distance between the opposite buildings.
See the picture attached
It comprises of two parts:
x and yUsing Pythagorean theorem, lets find the value of x:
x² + 15² = 17²x² = 289 - 225x² = 64x = 8 mSame rule for y:
y² + 8² = 17²y² = 289 - 64y² = 225y = 15 mThe width of the street (road) is:
8 m + 15 m = 23 m