Ok I am learning about decimals so this is easy. This is really easy so lets get started.
24.357 in expanded form is, 24×1 next 3× 1/10 then 5× 1/100 and finally 7× 1/1000
Hoped this helped! If you have any questions just ask! I am here to help.
Answer:
x = 3.556 or ![\frac{32}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B9%7D)
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
(3*x-5)^2-((x+x+25))=0
Evaluate:
= ![9x^{2} -30x+25](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20-30x%2B25)
Pull like factors:
9x^2 - 32x = x • (9x - 32)
x • (9x - 32) = 0
Remember roots of a product:
A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately. In other words, we are going to solve as many equations as there are terms in the product. Any solution of term = 0 solves product = 0 as well.
Solve : 9x - 32 = 0
Add 32 to both sides of the equation :
9x = 32
Divide both sides of the equation by 9:
x = 32/9 = 3.556
Answer:
theta = 0 theta = 180
Step-by-step explanation:
sin theta = 0
sin ^-1 (sin theta) =sin^-1( 0)
theta = 0 theta = 180 for the limits of theta between 0 and 360
Hello.
A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.
![\boxed{\mathsf{x^{2} + \dfrac{2}{3} x}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cmathsf%7Bx%5E%7B2%7D%20%2B%20%5Cdfrac%7B2%7D%7B3%7D%20x%7D%7D)
a) Adding 1/9:
![\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{1}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{1}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2}{3} x \rightarrow it \: is \: a \: perfect \: square \: trinomial}](https://tex.z-dn.net/?f=%5Ccdot%20%5C%3A%20%5Cmathsf%7Bx%5E%7B2%7D%20%2B%20%5Cdfrac%7B2%7D%7B3%7D%20x%20%2B%20%5Cdfrac%7B1%7D%7B9%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Csqrt%7Bx%5E%7B2%7D%7D%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B1%7D%7B9%7D%7D%20%5Ctimes%202%20%3D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx%20%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%202%20%3D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Cdfrac%7B2%7D%7B3%7D%20x%20%5Crightarrow%20it%20%5C%3A%20is%20%5C%3A%20a%20%5C%3A%20perfect%20%5C%3A%20square%20%5C%3A%20trinomial%7D)
b) Adding 4/9:
![\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{4}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{4}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{2}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{4}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}](https://tex.z-dn.net/?f=%5Ccdot%20%5C%3A%20%5Cmathsf%7Bx%5E%7B2%7D%20%2B%20%5Cdfrac%7B2%7D%7B3%7D%20x%20%2B%20%5Cdfrac%7B4%7D%7B9%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Csqrt%7Bx%5E%7B2%7D%7D%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B4%7D%7B9%7D%7D%20%5Ctimes%202%20%3D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx%20%5Ctimes%20%5Cdfrac%7B2%7D%7B3%7D%20%5Ctimes%202%20%3D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Cdfrac%7B4%7D%7B3%7D%20x%20%5Crightarrow%20it%20%5C%3A%20is%20%5C%3A%20not%20%5C%3A%20a%20%5C%3A%20perfect%20%5C%3A%20square%20%5C%3A%20trinomial%7D)
c) Adding 4 and 1/9:
![\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9} + 4 = x^{2} + \dfrac{2}{3} x + \dfrac{37}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{37}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{\sqrt{37}}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2\sqrt{37}}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}](https://tex.z-dn.net/?f=%5Ccdot%20%5C%3A%20%5Cmathsf%7Bx%5E%7B2%7D%20%2B%20%5Cdfrac%7B2%7D%7B3%7D%20x%20%2B%20%5Cdfrac%7B1%7D%7B9%7D%20%2B%204%20%3D%20x%5E%7B2%7D%20%2B%20%5Cdfrac%7B2%7D%7B3%7D%20x%20%2B%20%5Cdfrac%7B37%7D%7B9%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Csqrt%7Bx%5E%7B2%7D%7D%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B37%7D%7B9%7D%7D%20%5Ctimes%202%20%3D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx%20%5Ctimes%20%5Cdfrac%7B%5Csqrt%7B37%7D%7D%7B3%7D%20%5Ctimes%202%20%3D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Cdfrac%7B2%5Csqrt%7B37%7D%7D%7B3%7D%20x%20%5Crightarrow%20it%20%5C%3A%20is%20%5C%3A%20not%20%5C%3A%20a%20%5C%3A%20perfect%20%5C%3A%20square%20%5C%3A%20trinomial%7D)
Hope I helped.