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2 years ago

Find the slope of the line through (-1,1) and (3, -4)

Mathematics

1 answer:

jarptica [38.1K]2 years ago

7 0

Answer:

= -5/4

Step-by-step explanation:

The slope through two points can be found by

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

= (-4-1)/(3--1)

= (-4-1)/(3+1)

= -5/4

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37 For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottl

Pavel [41]

Answer:

Step-by-step explanation:

Let j represent the cost of a juice box.

Let w represent the cost of a bottle of water.

One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that

18j + 32w = 19.92 - - - - - - - - - - - - 1

The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that

14j + 26w = 15.76- - - - - - - - - - - - 2

Multiplying equation 1 by 14 and equation 2 by 18, it becomes

252j + 448w = 278.88

252j + 468w = 283.68

Subtracting, it becomes

- 20j = - 4.8

j = - 4.8/- 20 = 0.24

Substituting j = 0.24 into equation 1, it becomes

18 × 0.24 + 32w = 19.92

4.32 + 32w = 19.92

32w = 19.92 - 4.32 = 15.6

w = 15.6/32 = 0.4875

Kara's prices are incorrect.

the cost of a juice box is $0.24

the cost of a bottle of water is $0.4875

7 0

2 years ago

Use the algebra tiles to model the equation 2x + 4 = 3x + (−1). Then complete the sentences. To model 2x + 4, you need:

melomori [17]

The value of x would be 5 for the model 2x+4.

Rearrange unknown terms to the left side of the equation,
$= > 2x-3x = -1 - 4$

Combine like terms $= -x = -1-4$

By calculating the sum or difference : -x = -5

Lets divide both sides of the equation by the resulting coefficient 5
So x = 5

#SPJ10

Learn more about algebra equations refer:

https://brainly.in/question/7037012

7 0

1 year ago

If a gas tank of a large truck holds 64 gallons of gas if the tank is 5/8 full how many gallons of gas is in truck

maria [59]

64/1×5/8=320/8. 320÷8=40. There is 40 gallons of gas in the truck

7 0

2 years ago

Point A bisects LS BC. If LS BA=6x-3 and LS AC= 3x+7. Solve for X. PLS ANSWER QUICKLY!!!

denis23 [38]

Based on the bisection of line BC by point A, the value of x is 10/3

<h3>How to determine the value of x?</h3>

The given parameters are:

Point A bisects BC
BA = 6x - 3
AC= 3x + 7

Because the point A bisects BC, then

BA = AC

Substitute the known values in the above equation

So, we have

6x - 3 = 3x + 7

Collect the like terms

6x - 3x = 3 + 7

Evaluate the like terms

3x = 10

Divide both sides of the equation by 3

x = 10/3

Hence, based on the bisection of line BC by point A, the value of x is 10/3