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steposvetlana [31]
3 years ago
5

Find the equation of the line passing through the points (8,-16) and (1,5)

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:

y = -3x + 8

Step-by-step explanation:

First, find the slope using rise/run

21/-7

= -3

Then, find the y-intercept by using the slope and by plugging in a point

5 = -3(1) + b

5 = -3 + b

8 = b

So, the equation will be:

y = -3x + 8

balu736 [363]3 years ago
8 0

Hey there! :)

Answer:

y = -3x + 8.

Step-by-step explanation:

Use the slope formula to solve for the slope:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the coordinates:

m =  \frac{-16-5}{8 - 1}

Simplify:

m =  \frac{-21}{7}

m = -3.

Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:

5 = -3(1) + b

5 = -3 + b

b = 8.

Rewrite the equation:

y = -3x + 8.

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Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.
BigorU [14]

Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

A_T=2A_1+2A_2=2×96 in²+2×216 in²=624 in²

8 0
3 years ago
Please help!!
timofeeve [1]

Answer:

y = 2/3x

Step-by-step explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

3 = 3 + b

subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

y = 2/3x

6 0
3 years ago
Rounded to hundred how can I round to hundred
Gwar [14]
If you are talking about any number then.....
imagine a mountain, any number less than 5 is only the left and any number greater than 5 is on the right
      
Here, for example, let's try 13 

look at 13 on the pyramid .... since it's not a the top of the mountain so it falls back down to 10... it rounds down to 10
Now let's try 18 ...hmmm.... 18 is not at the top either so it falls as well. It falls down to 20 it rounds up to 20 

how about 15 u might be asking...it is at the top...15 is a little different ...make sure no one is looking and push it off the right side and falls to 20. Also rounding up to 20

              5
           4    6 
        3          7 
     2                8 
   1                      9 
0                           10
7 0
3 years ago
A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an addi
Montano1993 [528]

Answer:

$20.15

Step-by-step explanation:

Given data

Original cost =  $9.57

Markup= 95%

Let us find the new cost of the basket

=95/100*9.57

=0.95*9.57

=$9.0915

Hence the cost of the basket is

= 9.57+9.0915

=18.66

Also, the sales tax is 8%

=8/100*18.66

=0.08*18.66

=1.4928

Therefore, the total amount to be paid is

=18.66+1.4928

=$20.15

8 0
3 years ago
WILL MARK BRAINLEST IF YOU ANSWER CORRECTLY
muminat

Answer:

7 units

Step-by-step explanation:

4 0
3 years ago
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