All categories

3 years ago

Write x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers

1 answer:

3 0

X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4, (-4)^2 = 16, add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3

You might be interested in

A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo

Oduvanchick [21]

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

$\boxed{ \mathsf{volume \: of \: bowl = \frac{2}{3} \times \pi \: r {}^{3} }}$

Radius is half of diameter.

Given -

Diameter = 10cm .

From the given data we can derive that the radius of the hemispherical bowl is 5cm (10/2)

Putting the known values into the formula to get the value of the volume of bowl :

$\mathsf{volume = \frac{2}{3} \times \: 3.14 \: \times {5}^{3} }$

= 3.48888cm³

= 3.48cm³

5 0

3 years ago

Will a geometric figure and its rotated image always,sometimes,or never have to same perimeter?

mash [69]

They will have the same Perimeter, unless you shrink or grow the image then nothing with change

7 0

3 years ago

A mallard duck is 56 to 65 cm long if the duck travel 97.8 miles at top speed in 1.5 hours how far did it travel in 1 hour

ra1l [238]

Answer:

They traveled 2.71 in 1 hr

Step-by-step explanation:

97.8 divided by 1.5 then multiply that by 1hr

6 0

3 years ago

If A is a 3×3 singular matrix such that λ1=1−i is an eigenvalue of A, then the other eigenvalues of A are 0,1+i

astra-53 [7]

Answer:

1 + i

Step-by-step explanation:

Given that A is a 3 * 3 singular matrix

one of its eigenvalue ( λ1 ) = 1 - i

Given that the determinant of a singular matrix is = 0

therefore the second eigen value ( λ2 ) = 1 + i

1 - i + 1 + i = 0

5 0

2 years ago

Help fast if you don’t know don’t answer

jonny [76]

The answer to the question is 21/3

4 0

3 years ago