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3 years ago

write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)

Mathematics

2 answers:

Marizza181 [45]3 years ago

6 0

Answer:

M=1

Step-by-step explanation:

find the slope (M)

the slope is 1

Hope this helps Bodhi,

REY [17]3 years ago

3 0

Answer:

y = x+5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( 7-3)/(2 - -2)

( 7-3)/(2+2)

4/4

Then slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1*x+b

y = x+b

Substitute a point into the equation

7 = 2+b

7-2 =b

5=b

y = x+5

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The area of a square battlefield was 22,500 square miles. How long will it take a group of soldiers to cross the field diagonall

VARVARA [1.3K]

$\sqrt{22500} = s
\\\ diagonal = s \sqrt{2}
\\\ s = 150, \ diagonal = 150\sqrt{2}
\\\ diagonal \approx 212.132
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6 0

3 years ago

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

erastovalidia [21]

Answer:

The exam can be answered with exactly 8 answers correct in 6435 ways.

Step-by-step explanation:

The order is not important.

For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Combinations of 8 questions from a set of 15. So

$C_{15,8} = \frac{15!}{8!(15-8)!} = 6435$

The exam can be answered with exactly 8 answers correct in 6435 ways.

5 0

2 years ago

John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the n

musickatia [10]

Answer:

(D) 36%

Step-by-step explanation:

Actual cost of truck = $4500

Down payment = $1500

Money left to be paid = 4500-1500 = $3000

A = Monthly payments = 350

n = 10

Principal value (P) = 3000

Using formula,

A= $\frac{Pr(1+r)^{n}}{(1+r)^{n}-1}$

350 = $\frac{3000r(1+r)^{10}}{(1+r)^{10}-1}$

= 36% (approx)

Hence (D) is correct.

5 0

3 years ago

Two sides of a trapezoidal are 25 meters. The third side is 40 meters. The fourth side is 20 meters shorter than the longest sid

Aloiza [94]

Answer:

110

Step-by-step explanation:

longest side would by 40 so 40 - 20 = 20. Add all the sides up 25+25+40+20=110

3 0

3 years ago

The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4%

swat32

Answer:

2249.728 so the answer would be 2250

Step-by-step explanation

2000(1.04)^3 you can change the 3 out for any number to find the population for any given year.

5 0

3 years ago