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
Paraphin [41]
3 years ago
15

what is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? y = 4x − 2 y = 2x − 4 y = −3(x − 4) y =

3(x 4)
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).

y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)
You might be interested in
Which angles are adjacent? Select all that apply.
IRINA_888 [86]

Answer:

afb and cfd

bfc and dfe

cfd and dfe

8 0
3 years ago
Sarah is a computer engineer and manager and works for a software company. She receives a
daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = a

Given that:

a_4=129\\a_{10}=207

Formula for n^{th} term of an Arithmetic Progression is given as:

a_n=a+(n-1)d

Where d will represent the number of projects increased every year.

and n is the year number.

a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)

Subtracting (2) from (1):

78 = 6d\\\Rightarrow d =13

By equation (1):

129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

Number of projects in the twelfth year =

a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233

Each project pays $500

Earnings in the twelfth year = 233 \times 500 = $116500

Sum of an AP is given as:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 \times 1938 = $969000

8 0
2 years ago
5
natulia [17]

Answer:

1648

Step-by-step explanation:

5/9 are girls. The 9 represents the total.

Set up a proportion and you have

5/9 = ?/3708

3708/9=412

412x5= 2060 girls

3708-2060= 1648

8 0
3 years ago
Read 2 more answers
Find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5​
elena-s [515]
Median is 6 range is 9 mode is 6 and mean is 7
7 0
2 years ago
At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts, using a scale from 1 to 10, where 10
Art [367]

Answer:

As   2.551 < 3.84 therefore we reject H0.

As 44.803 > 4.46 so we accept null hypothesis.

Step-by-step explanation:

The answer is attached.

There are three judges so v1 = 3-1= 2  and v2 = (4*2)= 8

There are five gymnasts so v1 = 5-1= 4 and v2=  (4*2)= 8

For alpha = 0.05 we find the value of F1 and F2 from the table.

Download docx
6 0
3 years ago
Other questions:
  • When any two lines intersect, four angles are formed. If the intersection is perpendicular, then each angle is 90°
    8·1 answer
  • Write the first three terms in the binomial expansion, expressing the result in simplifies form. (2x+3y)^8.
    10·1 answer
  • Consider the following hypothesis test: H 0: 20 H a: &lt; 20 A sample of 50 provided a sample mean of 19.4. The population stand
    15·1 answer
  • In a test of physical fitness, a group of men ages 65 and older from a local
    7·2 answers
  • Use the picture below and find the measure of angle AEB.
    7·1 answer
  • 14 1/4 - 10 3/7 Reduce to lowest form....<br> step by step to see if my answer your answer
    14·2 answers
  • Chau made $252 for 18 hours of work.
    14·1 answer
  • Check whether the sequence is arithmetic. If​ so, find the common difference d. 2​, 7​, 12​, ​17, 22 ... Select the correct choi
    7·1 answer
  • Find the number between 100 and 999 such that
    9·1 answer
  • Problem<br> Choose the inequality that represents the following graph. 32 points
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!