Find the exact roots of x^2+10x-8=0 by completing the square

Answers

Answer 1

Answer: From the original equation x^2+10x-8=0, move the loose number on the other side. Your new equation will be x^2+10x=8. Moving an element from one side to another reverses its sign. From -8 to +8. Then take half of the x-term and square it and add it on both sides. X-term is 10x and 10 is the number, half of it is 5 then square of 5 is 25. Add 25 on both side. Your new equation will be x^2+10x+25=8+25. Then complete the square form of the left side of the equation, (x+5)^2=33. Square root both side then you will get x+5=squareroot of 33. Your x = -5 plus/minus squareroot of 33.

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- ( x + 6 ) + 2 = -28 - 4
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Simplify 10 + 4(x + 1) + 5.

the sides of a rectangle are in the ratio 5:7 and the perimeter of the rectangle is 96cm. What is the area of the rectangle?

Answers

width = 5x
length = 7x

Perimeter = 10x + 14x = 24x = 96cm
x = 96/24 = 4cm

width = 5x = 20cm
length = 7x = 28cm

Area = (20cm x 28cm) = 560 cm²

Hi, I need help with this math question .
The image posted below

Answers

(6, 8). Substitute the numbers in for x and y and then solve the equation. The coordinates are (x, y).

Answer:

(6,8)

Step-by-step explanation:

$\n \sf\longmapsto y=(1)/(3)x+2$

Put the value

$\n \sf\longmapsto 8=(1)/(3)(6)+2$

$\n \sf\longmapsto 8=2+2$

$\n \sf\longmapsto 8\neq 4$

A rectangular prism is 3 meters long, 4 meters wide, and has a total surface area of 94 square meters. What is its height?3 m
4 m
5 m
6 m

Answers

SA=2(LW+LH+WH)
SA=94
L=3
W=4
94=2(3*4+3H+4H)
divide both sides by 2
47=3*4+3H+4H
47=12+7H
minus 12 both sides
35=7H
divide oth sides by 7
5=H

5m

a dog weighs 44 pounds and the veterinarian thinks i needs to lose 7 pounds. Milkala wrote the equation x+7 to represent the situation. Kirk wrote the equation 44- x = 7. Which equation is correct? can you write another equation that represents the situation?

Answers

so assuming that you meant that the dog needs to lose 7 pounds
the equation should be
44-7=x
where x represents the dog's ideal weight

x+7 means 7 more pounds
44-x=7 means that 44 minus the ideal weight is 7
this can be reweiten as 44-7=x so this is correct

Kirk is correct
another equation is 44-7=x

Hmmm I don't think either is correct.

So he weighs 44 pounds, and needs to lose 7 pounds

44 - 7 = x

where x is the dog's new weight.

If military time is 0145, what time is it on a regular clock

Answers

The military time 0145 is equivalent to 1:45 AM on a regular clock.

Given that in a military clock it is showing 0145, we need to convert it into regular clock;

To convert the military time 0145 to a regular clock format, follow these steps:

Step 1: Identify the hour in military time.

In this case, the military time is 0145. The first two digits, "01," represent the hour.

Step 2: Determine if it is in the AM or PM.

Since the hour is "01," which is less than 12, it is in the AM.

Step 3: Convert the hour to regular clock format.

Since the hour is "01," we can write it as "1" on a regular clock.

Step 4: Identify the minutes.

The last two digits, "45," represent the minutes.

Step 5: Combine the hour and minutes.

Putting it together, we have "1:45" on a regular clock.

Step 6: Determine if it is in the AM or PM.

Since we established earlier that it is in the AM, the final time on a regular clock is "1:45 AM."

Therefore, the military time 0145 is equivalent to 1:45 AM on a regular clock.

Learn more about military time click;

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i love military time its 1:45 am

Sally has 15 marbles in a bag. 6 are blue, 3 are red, 4 are yellow and 2 are black. What is the probability that Sally draws a blue marble?

Answers

There is a 6 out of 15 chance of pulling a blue marble

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