1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alla [95]
1 year ago
7

If the line containing the points (-2,10) and (7,4) is dilated by a factor of 2, then the slope of the new line would be which o

f the following?

Mathematics
1 answer:
zubka84 [21]1 year ago
8 0

When the line segement is dilated , the resulting line is parallel to the original line. Know that the the slopes of parallel lines are equal. Therefore, the slope of the line passing through (-2,10) and (7,4) is equal to the slope of the new line .

Basically, we will just have to compute for the slope using the points (-2,10) and (7,4).

\begin{gathered} \text{slope, m = }\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{4-10}{7-(-2)}=\frac{-6}{9}=-\frac{2}{3} \end{gathered}

You might be interested in
Two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete th
ki77a [65]

Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

5 0
3 years ago
What are the solutions to the equation 3x^2 + 15x = 18. Show your work.
balandron [24]

Assignment: \bold{Solve \ Equation: \ 3x^2+15x=18}

<><><><><><><>

Answer: \boxed{\bold{x=1,\:x=-6}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Subtract 18 From Both Sides

\bold{3x^2+15x-18=18-18}

[ Step Two ] Simplify

\bold{3x^2+15x-18=0}

[ Step Three ] Solve With Quadratic Formula

Note: \bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}

\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}

\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}

<><><><><><><>

\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}

\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}

[ Step Four ] Combine Solutions

\bold{x=1,\:x=-6}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

5 0
3 years ago
Read 2 more answers
4. In the expression -9x-2 +7, what is the coeffcent of x?<br> A.-9<br> B.-2<br> C.7<br> D.9
12345 [234]
A coefficient is the number before the variable so the coefficient of x would be number before the x. the number before x is A.-9
3 0
3 years ago
What is the expression for the below sequence (use n)<br><br> -3,-6,-9,-12
polet [3.4K]

Answer:

a_{n} = - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3

This indicate the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 3 , thus

a_{n} = - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n

The n th term is - 3n

6 0
3 years ago
Would one late credit card payment 2 years ago make you more likely or less likely to get a car loan?
Alenkinab [10]
It would make you less likely because you might have to pay the money you were gonna pay to the people who did the car loan.
4 0
3 years ago
Other questions:
  • The height of a diver during a dive can be modeled by h=-16t^2, where h is height in feet relative to the diving platform and t
    15·1 answer
  • Alex ran 12.8 km in the morning. After​ lunch, he continued running. When he finished the​ run, he had covered 31.4 km in all. W
    13·1 answer
  • 12 page report 25% done in class 50% Of the pages after school how many more pages are still to be done
    8·1 answer
  • How do you find out the volume
    14·2 answers
  • Which could be the other dimension of the second photograph?
    12·1 answer
  • Julie needs 3 1/4 cups of oatmeal how many 1/4 cups of oatmeal will she use
    14·2 answers
  • 24 is decreased to 30
    11·1 answer
  • Find the distance between the points (-5, O) and (-4, 1).
    12·2 answers
  • If a normal distribution has a mean of 44 and a standard deviation of 8, what is the zscore for a value of 50
    7·1 answer
  • An expression is shown below:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!