MATHEMATICS HIGH SCHOOL

What is the slope of the line that passes through the points (−2,7) and (2,−5)? Write your answer in simplest form.

Answers

Answer 1

Answer:

Answer:

-3

Step-by-step explanation:

Slope = Rise/Run

We can find the amount between 7 and -5 as 12, and -2 and 2 as 4.

Then we can do rise/run and 12/4

Which would divide into 3.

ANd because we can see the x increases as the y decreases, we can find that it's a negative slope.

-3

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Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence

Explain how the quotient of powers was used to simplify this expression 5^4/25=5^2

Answers

because 25 is 5^2 you can rewrite it as such
this gets you
(5^4)/(5^2) which you can then subtract the exponents since the base is the same, and 4-2=2

What is the area of this triangle? And it's not 60, I already checked. PLEASE EXPLAIN!!!!

Answers

Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

The original price of a kind of phone is $1050. Then, it’s price decreases by $50 per month. Calculate the price of the phone after 12 months

Answers

Answer:

$450

Step-by-step explanation:

1050 - (12 x 50) = 450

12 x 50 = 600

1050 - 600 = 450

Answer:

The phone would cost $450 after 12 months

Step-by-step explanation:

Multiply $50 by 12 months which would equal $600.

Then you would subtract $600 from $1050 which would equal the total price of $450.

How do you write this in standard form? (6-7i)/(1-2i)

Answers

$\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot 1\n \n =\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot \frac { \left( 1+2i \right) }{ \left( 1+2i \right) } \n \n =\frac { 6+12i-7i-14{ i }^( 2 ) }{ 1+2i-2i-4{ i }^( 2 ) }$

$\n \n =\frac { 6+5i-14\left( -1 \right) }{ 1-4\left( -1 \right) } \n \n =\frac { 6+5i+14 }{ 1+4 } \n \n =\frac { 20+5i }{ 5 } \n \n =\frac { 20 }{ 5 } +\frac { 5i }{ 5 } \n \n =4+i$

-9x+y=16
x-y=0

I have to solve by elimination.
Will someone help me please?

Answers

To do elimination, you combine the two equations by adding
-9x + y = 16
+ x - y = 0
-8x + 0y = 16

Now that there are 0y, we can solve for x:
-8x = 16
divide both sides by -8
x = -2

To solve for y, plug the answer you got for x in to the original equations.

-9x + y = 16
-9(-2) + y = 16
18 + y = 16
y = -2

x - y = 0
-2 - y = 0
y = -2

x = -2 and y = -2

-9x+y=16
x-y=0
add the two equations, the y's cancel each other out
-8x=16
divide by -8
x=-2

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Answers

Answer:

Length = 49 feet

Step-by-step explanation:

Since 35/5 is equal to 7, that means for every inch on the drawing it represents 7 feet. So you could multiply 7(7) to get the actual length.

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