What is the slope of 4Y + 8X + 2 = 0?
What is the slope of 4Y + 8X + 2 - 1

Answers

Answer 1
Answer: 4y+8x+2=0
-4y. -4y

8x+2=-4y

Divide by -4 on both sides

-2x-2/4= y

Y= -2x-2/4

The slope is -2

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Jason ran 325 meters farther than Kim.Kim ran 4.2 kilometers.How many meters did Jason run?Estimate to check your answer

Answers

Convert km to m
4.2km = 4.2 x 1000 = 4200m

Jason ran 325m farther than Kim
⇒ 4200 + 325 = 4525m

Answer: Jason ran 4525m
4.2 km=4.2*1000=4200 m Kim ran
Jason 4200+325=4525 m Jason ran

Write a definition for the term perimeter

Answers

Perimeter is the distance around a two-dimensional shape.
Perimeter is the distance using units around a shape or polygon. Such as a square's side is 1. There are 4 sides. The perimeter would be 4units.

Describe the translation. y=(x+3)2+4 → y=(x+1)2+6

Answers

Answer:

Shift +2 units to the right and +2 units up

Step-by-step explanation:

y = (x+3)² + 4 has a horizontal shift of -3 and a vertical shift of +4.

y = (x+1)² + 6 has a horizontal shift of -1 and a vertical shift of +6.

So do translate the first equation to the second, shift +2 units to the right and +2 units up.

Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate one variable when they are combined? Multiply the second equation by −2 to get −8x − 6y = −30. Multiply the first equation by 2 to get 4x + 12y = 24. Multiply the second equation by −4 to get −16x − 12y = −60. Multiply the first equation by −4 to get −8x − 24y = −48.

Answers

Answer:

Multiply the second equation by −2 to get −8x − 6y = −30.

Step-by-step explanation:

we have

----> first equation

----> second equation

Solve by elimination

Multiply the second equation by -2 both sides

---> equivalent second equation

Adds first equation and the equivalent second equation

Find the value of y

substitute the value of x in any of the equation

the solution of the system is the point (3,1)

A sandbag is released from a hot air balloon that is 400ft above the ground. Using the falling object model, h = –16t2 + s, where h = height in feet, t = time in seconds, and s = initial height in feet, how long will it take for the sandbag to hit the ground?A.
25 seconds
B.
4 seconds
C.
5 seconds
D.
20 seconds

Answers

Answer:

It takes 5 seconds for the sandbag to hit the ground

Explanation:

Given:

Height at which the sand bag is released from the hot air balloon= -400 f t

To find:

Time taken for the sandbag to hit the ground, t =?  

Solution:

The initial height =s

Initially the height will be 0

Hences=0

the falling object model equation  

h=-16 t^(2)+s

Substituting the values we get,

h=-16 t^(2)+s

400=16 t^(2)

t^(2)=(400)/(16)

t^(2)=25

t=√(25)

t=5 \text { seconds }

Result:

Thus it takes 5 seconds for the sandbag to hit the ground

A car travels at 48mph for 2 hours and 20 minutes how far has he travelled

Answers

Answer:

68

Step-by-step explanation:

48+2+20