Answer:
The number would have to be added is 2
Step-by-step explanation:
To find the form of the completing square of the quadratic function:
- Divide the coefficient of x by 2
- Subtract the numerical term from the square of the quotient
Let us do these steps with our question
∵ x² - 2x - 1 = 0
→ Divide the coefficient of x by 2
∵ The coefficient of x is -2
∴ -2 ÷ 2 = -1
→ Square the -1
∵ (-1)² = 1
→ Subtract the numerical term from 1
∵ The numerical term = -1
∵ 1 - (-1) = 1 + 1 = 2
∴ We must add 2 to -1 to get 1
→ (x² - 2x - 1 + 2) - 2 = 0
→ (x² - 2x + 1) = 2
→ (x - 1)² = 2
The number would have to be added is 2
Answer:
range = 10
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set.
largest value = 12
smallest value = 2
range = 12 - 2 = 10
Answer:
what do you mean? please state the question and i will help
Step-by-step explanation:
The assumption here is that, both triangles are similar. Now, if that's the case,
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{small}{large}\qquad \cfrac{25}{35}\implies \stackrel{simplified}{\cfrac{5}{7}}\qquad \qquad \cfrac{5}{7}=\cfrac{\sqrt{270}}{\sqrt{x}}\implies \cfrac{5}{7}=\sqrt{\cfrac{270}{x}} \\\\\\ \left( \cfrac{5}{7} \right)^2=\cfrac{270}{x}\implies \cfrac{5^2}{7^2}=\cfrac{270}{x}\implies x=\cfrac{7^2\cdot 270}{5^2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%5Ctextit%7Bsimilar%20shape%7D%7D%7B%5Ctextit%7Bsimilar%20shape%7D%7D%5Cqquad%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%7Bs%5E2%7D%7D%7B%5Csqrt%7Bs%5E2%7D%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bsmall%7D%7Blarge%7D%5Cqquad%20%5Ccfrac%7B25%7D%7B35%7D%5Cimplies%20%5Cstackrel%7Bsimplified%7D%7B%5Ccfrac%7B5%7D%7B7%7D%7D%5Cqquad%20%5Cqquad%20%5Ccfrac%7B5%7D%7B7%7D%3D%5Ccfrac%7B%5Csqrt%7B270%7D%7D%7B%5Csqrt%7Bx%7D%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B7%7D%3D%5Csqrt%7B%5Ccfrac%7B270%7D%7Bx%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%28%20%5Ccfrac%7B5%7D%7B7%7D%20%5Cright%29%5E2%3D%5Ccfrac%7B270%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B5%5E2%7D%7B7%5E2%7D%3D%5Ccfrac%7B270%7D%7Bx%7D%5Cimplies%20x%3D%5Ccfrac%7B7%5E2%5Ccdot%20270%7D%7B5%5E2%7D)
