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3 years ago

What is the equation of the line that passes through the points (6,5) and (-7,4)?

Mathematics

1 answer:

devlian [24]3 years ago

4 0

Answer:

13y= x + 59

Step-by-step explanation:

gradient= y² - y¹ / x²- x¹

=5 - 4 / 6- -7

= 1/ 13

<h3>equation of line: y=mx+c</h3>

x y

point (6,5)

substitute:

5= 1 (6) + c

c = 5 - 6

= 59

y=mx+c

13y= 1x + 59

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Find the value of x *

nasty-shy [4]

Answer: its 4 lol just look at the other side and you see the 4 there lol

Step-by-step explanation:

6 0

3 years ago

One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second

Nesterboy [21]

Answer: 30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

Pumpkin A = 124 oz
Pumpkin B = 164 oz
Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

--------------

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0

3 years ago

Bob wants to buy a TV that cost $500 plus 8% tax. He is getting a bonus of $45 and a birthday gift of $85 which he plans to use

Genrish500 [490]

Answer:

He needs to work for 40 whole hours

Step-by-step explanation:

In this question, we are tasked with calculating the amount a Tv will cost Bob in terms of the number of hours he needs to work.

Let’s look at the total cost he has to pay.

a. $500

b. 8% tax = 8/100 * 500 = $40

c. He is paying 2 bills of $35 each making a total of 2 * $35 = $70

The total amount he is to pay is thus; 500 + 40 + 70 = $610

Let’s look at his income ;

a. Bonus $45

b. Birthday gift $85

The total amount of money he has asides his salary to offset the bill is 45 + 85 = $130

The balance to pay from his salary would be $610 - $130 = $480

The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work

5 0

3 years ago

Read 2 more answers

Chang is estimating the volume of his bathtub the actual volume of his bathtub is 37 gal chang’s estimate is 31 gal find the abs

stepladder [879]

<h3>The absolute error is 6</h3><h3>The percent error is 16.22 %</h3>

Solution:

Given that,

Actual volume of his bathtub is 37 gal

Estimate is 31 gal

Find the absolute error

Absolute Error = | Measured Value - Actual Value |

Absolute Error = | 31 - 37 |

Absolute Error = 6

Find the percent error

$Percent\ error = \frac{\text{estimate - actual}}{actual} \times 100$

Substituting we get,

$percent\ error = \frac{31-37}{37} \times 100\\\\percent\ error = \frac{-6}{37} \times 100\\\\percent\ error = -16.22$

Negative sign means percent decrease

Thus percent error is 16.22 %

5 0

3 years ago

If x = -2, what does -x mean

pickupchik [31]

Answer:

Step-by-step explanation:

If,

x = -2

Then,

-x = -(-2)

=> -x = 2 (Ans)

6 0

3 years ago