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Andru [333]
3 years ago
8

what are the solution(s) to the quadratic equation 9x2 = 4? x = 4/9 and x = -4/9 x = 4/9 and x = -2/3 x = 3/2 and x = -3/2 no re

al solution
Mathematics
1 answer:
Kamila [148]3 years ago
6 0
To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b). Thus, we have 9x² = 4 9x² - 4 = 0 (3x)² - (2)² = 0 (3x + 2)(3x - 2) = 0 We now have two linear equations: 3x + 2 = 0 | 3x - 2 = 0 3x = -2 | 3x = 2 x = -2/3 | x = 2/3 Thus, x = +2/3 and -2/3.<span> </span>
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Explain why solving the equation - 3n - 4 = 2 is different from solving the
Klio2033 [76]

Answer:

Step-by-step explanation:

First get the answer to -3n - 4 = 2

-3n - 4 + 4 = 2 + 4

-3n = 6

n = 6/-3

n = -2

That answer is the only one that is permitted. It is the only one that completely satisfies the equation.

Now when you do the inequality, look what happens.

-3n - 4 < 2              Add 4 to both sides.

-3n-4+ 4 < 2+4

-3n < 6                  Now there are a bunch of ways (2) to solve this.  

                            No matter which way you do it, the arrow will change.

-3n/-3 > 6/-3

n > - 2

That means that any number that is greater than - 2 will satisfy the inequality.

So n = 0 will work. Even n = - 1 will work. Anything bigger than -2 will work. The equation does not provide that kind of latitude.

7 0
2 years ago
Please help me anyone?<br> Any brainliest
Nina [5.8K]

Answer : 1 : sales tax , 2 : 6 percent, 3 : returns (i only know those so hope it helps )

5 0
3 years ago
Shana bought a used car for $5,800 with a loan at a simple interest rate of 3% for 6 years. How much will the total be after she
galina1969 [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Write an equation in standard form of an ellipse that is 28 units high and 20 units wide
cestrela7 [59]
The standard form of ellipse with vertical major axis and center at the origin is:
x^2/b^2+y^2/a^2=1, a>b
2a=length of the major axis=28
a=14
a^2=196

2b=length of minor axis=20
b=10
b^2=100

x^2/196+y^2/100=1

making y the subject we get

y=5/7(196-x²)^0.5
8 0
3 years ago
Locate the point on the line segment between A(3,-5) and B(13,-15) given that the point is 4/5 of the way from A to B. Show your
Dominik [7]

Answer:

[11,-13]

Step-by-step explanation:

Let P be the point between A(3,-5) and B(13,-15) where segment AP = \frac{4}{5}th of segment AB.

Therefore, point P divides the line AB in a 4 : 1 ratio internally.

Hence, the coordinates of point P will be [\frac{4\times 13+ 1 \times 3}{4+1} , \frac{4(-15)+ 1(-5)}{4+1} ]

= [11,-13] (Answer)

We know that If A(x_{1}, y_{1} ) and B(x_{2}, y_{2} ) are two different point and point P(h,k) divides line AB in the ratio m : n internally, then  

(h,k) ≡  (\frac{mx_{2}+ n x_{1}}{m+n} , \frac{my_{2}+ny_{1}}{m+n} )

3 0
3 years ago
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