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morpeh [17]
3 years ago
8

Rewrite the equation by completing the square.x^2-2x+1=0​

Mathematics
1 answer:
kaheart [24]3 years ago
5 0

Answer:

(x - 1)² = 0

Step-by-step explanation:

Given

x² - 2x + 1 = 0 ( subtract 1 from both sides )

x² - 2x = - 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = - 1 + 1

(x - 1)² = 0

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You went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items. How much is the final bill if you apply
Alina [70]

We have been given that you went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items.

Let us find the amount of taxable items by subtracting amount of non-taxable items from total bill.

\text{Amount of taxable items}=\$75-\$45.50

\text{Amount of taxable items}=\$29.50

We have been given that the rate of tax is 7.5% to the taxable items. To find the amount of tax, we will find 7.5% of $29.50.

\text{Amount of tax}=\$25.50\times \frac{7.5}{100}

\text{Amount of tax}=\$25.50\times 0.075

\text{Amount of tax}=\$2.2125  

Final amount of bill would be amount of bill plus amount of tax.

\text{Final amount of bill}=\$75+\$2.2125

\text{Final amount of bill}=\$77.2125

Therefore, final amount of bill would be \$77.2125.

5 0
3 years ago
Which statement is the best distinction between birds and other animals
MrMuchimi
Birds can fly is the best distinction between birds and other animals
8 0
3 years ago
What is 0.00758 written in scientific notation ?
Goshia [24]
7.58 x 10^-3  is the scientific notation
3 0
3 years ago
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformati
goldenfox [79]

Answer:

Whereby circle \bigodotP can be obtained from circle \bigodotO by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, \bigodotO is similar to \bigodotP

Step-by-step explanation:

The given center of the circle \bigodotO = (-2, 7)

The radius of \bigodotO, r₁ = 5

The given center of the circle \bigodotP = (12, -1)

The radius of \bigodotP, r₂ = 12

The similarity transformation to prove that \bigodotO and \bigodotP are similar are;

a) Move circle \bigodotO 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle \bigodotO is increased by 2.4

We then obtain \bigodotO' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle \bigodotP

∴ Circle \bigodotP can be obtained from circle \bigodotO by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, \bigodotO is similar to \bigodotP.

7 0
3 years ago
The highway from Stonestown to Budley passes through Henton, as shown in the map below.
Minchanka [31]

Answer:

C. 1 inch = 23 miles

Step-by-step explanation:

To find the scale, add the scale distances shown first.

2.25 + 1.75 = 4 inches on the map

Now, divide the actual mileage (92 miles) by how long it was on the map.

92 / 4

92 = 80 + 12

92/4 = (80/4) + (12/4)

92/4 = 20 + 3

92/4 = 23 miles

That means 1 inch on this map is actually 23 miles. So the scale of the map is 1 inch = 23 miles, which is C.

4 0
2 years ago
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