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2 years ago

What number must i add to complete the square x^2+8x=-3

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

Answer:

Step-by-step explanation:

(b/2)^2

(8/2)^2 = (4)^2 = 16

(x^2+8x+16) = -3+16

(x+4)^2 = 13

so on so forth, but basically you add 16 which completes the square

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38 is what percent of 84 (to the nearest percent)?

labwork [276]

Answer:

45.24

Step-by-step explanation:

Percentage Calculator: 38 is what percent of 84? = 45.24.

5 0

2 years ago

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Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M

HACTEHA [7]

Answer:

The equation of line M in slope intercept form is $y=\frac{3}{2}x+1$

The equation of line M in standard form is $3x-2y=-2$

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(2,4) and (0,1)

substitute

$m=\frac{1-4}{0-2}$

$m=\frac{-3}{-2}$

$m=\frac{3}{2}$

step 2

Find the equation of the line M in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{2}$

$point\ (0,1)$

substitute

$y-1=\frac{3}{2}(x-0)$

$y-1=\frac{3}{2}x$ ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

$y=mx+b$

Isolate the variable y in the equation of the line in point slope form

$y-1=\frac{3}{2}x$

Adds 1 both sides

$y=\frac{3}{2}x+1$

step 4

Find the equation of the line M in standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

we have

$y=\frac{3}{2}x+1$

Multiply by 2 both sides

$2y=3x+2$

$3x-2y=-2$ ---> equation in standard form

7 0

2 years ago

18. The Sahara Desert is the largest desert in the world. It covers 3,500,000 square miles. The Australian Desert is the second

ruslelena [56]

Solution:
3,500,000 - 2,030,000 = 1,470,000 square miles
Explanation:
Let's fully understand what this word problem is saying. Break it down.
The Sahara Desert is the largest desert in the world.
The Australian Desert is the second largest desert.
This means that the Australian Desert has an area that is less than the Sahara desert.
We are given the size of the Sahara, which is 3,500,000 square miles, but not the size of the Australian desert.The area of the Australian desert is less by 2,030,000 square miles.This is the amount we have to subtract from the area of the Sahara to find the size of the Australian desert:
3,500,000-2,030,000= 1,470,000 square miles. Hope this helps!

6 0

2 years ago

Find the percent of discount (Just type in the number).<br> $55 on sale for $46.75

Rom4ik [11]

Answer:

15%

Step-by-step explanation:

Given,

Original price = $55.00

Discounted price = $46.75

Discount = $55.00 - $46.75 = $8.25

Percent Discount = (Discount / Original price) x 100%

= (8.25 / 55.00) x 100%

= 0.15 x 100%

= 15%

7 0

2 years ago

If the price of a toy usually costing £50 and id increased to £65 what is the increase percentage

Savatey [412]

Answer:

30%

Step-by-step explanation:

If the price went up to 65 from 50, that is an increase of 15. 15 is 30% of 50.

3 0

2 years ago

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