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Tema [17]
3 years ago
8

Solve the quadratic equation by completing the square. x2 + 4x - 3 = 0

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
First move the constant to the other side of the equation by adding 3 to both sides...

x^2+4x=3

Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...

x^2+4x+4=7, now the left side is a perfect square of the form...

(x+2)^2=7, now take the square root of both sides...

x+2=±√7,  subtract 2 from both sides...

x=-2±√7

So x=-2-√7 and -2+√7
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The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.
sashaice [31]

Answer:

The value of x is 6

Step-by-step explanation:

The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side

∵ The perimeter of an equilateral triangle is 63 inches

∴ P = 63 inches

→ By using the rule of the perimeter above

∵ P = 3 × S

→ Equate the right sides of P

∴ 3 × S = 63

→ Divide both sides by 3

∴ S = 21 inches

∴ The length of each side is 21 inches

∵ The length of each side is (4x - 3)

→ Equate (4x - 3) by the length of each side

∴ 4x - 3 = 21

→ Add 3 to both sides

∵ 4x - 3 + 3 = 21 + 3

∴ 4x = 24

→ Divide both sides by 4 to find x

∴ x = 6

∴ The value of x is 6

6 0
3 years ago
In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the numb
Tanya [424]

Answer:

C

Step-by-step explanation:

14 : 16

7 : 8

boys : girls

3 0
3 years ago
Read 2 more answers
Plss help meeeeeeeeeeeeeeee
Olin [163]

Answer:

x=42

Step-by-step explanation:

5 0
3 years ago
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The wavelength of green lights is about 0.00000051 meter. What is the estimated wavelength as a single digit times a power of 10
kari74 [83]

<em><u>Answer:</u></em>

<h2>5.1 X 10^-7</h2>

<u><em>Reason:</em></u>

It is to the -7 because you would have to move the decimal left (-) 7 times to get the original 0.00000051.

Hope this helps! ;)

6 0
3 years ago
Please explain how you got the answer, i dont understand the subject
KIM [24]

Answer:

y=mx+c

We have to find the value of m and c.

Let's substitute the value of x and y from the table.

When x=1, y=15,

15= m(1)+c

m +c= 15 ------(1)

Now substitute another set of x and y values.

When x=2, y=24,

24= m(2)+c

2m +c= 24

c= 24 -2m ------(2)

Let me rewrite the two equations so that it is clearer for you to see.

m + c= 15 -----(1)

c = 24 -2m -----(2)

subst. (2) into (1):

m+ 24-2m= 15

-m= 15-24 (bring constants to 1 side, m terms to the other)

-m= -9 (simplify)

m= 9 ( divide by -1 throughout)

subst. m=9 into (2):

c= 24 -2(9)

c= 24-18

c= 6

Thus, the equation is y=9x+6.

When the cat is 3 years old, x=3.

When x=3,

y= 9(3)+6

y= 33.

Hence, the cat is 33 years old in human years.

5 0
3 years ago
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