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3 years ago

Find the values of a and b such that x² - 4x+9 = (x+a)² + b

Mathematics

1 answer:

gregori [183]3 years ago

4 0

The answer to find the vaules is A=3x

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Compare 4.6, 2.8..., square root 17, 3.9..., square root 8

Basile [38]

1. Square root 17= 289, Square root 8= 64.
$289 = 289.00 \: \: 64 = 64.00$
$4.6 > 2.8$
$289.00 > 64.00$
$289.00 > 4.6$
$4.6 > 3.9$
$2.8 < 3.9$
Least to greatest:
2.8, 3.9, 4.6, 64.00, 289.00

7 0

3 years ago

What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =

Masteriza [31]

For this case we have the following system of equations:

$x-3y = -13\\5x + 7y = 34$

From the first equation we clear "x":

$x = -13 + 3y$

We substitute in the second equation:

$5 (-13 + 3y) + 7y = 34$

We apply distributive property:

$-65 + 15y + 7y = 34$

We add similar terms:

$-65 + 22y = 34$

We add 65 to both sides:

$22y = 34 + 65\\22y = 99$

We divide between 22 on both sides:

$y = \frac {99} {22}\\y = \frac {9} {2}$

We look for the value of the variable "x":

$x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}$

Thus, the solution of the system is:

$(x, y): (\frac {1} {2}, \frac {9} {2})$

ANswer:

$(x, y): (\frac {1} {2}, \frac {9} {2})$

5 0

3 years ago

Read 2 more answers

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?

madreJ [45]

The correct question is
<span>In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

we know that
in a circle
</span>2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r

the lenght of the arc=(2π/3)*3=2π ft

the answer is 2π ft

5 0

3 years ago

Read 2 more answers

Help meeeeeeeeeeeeeee

siniylev [52]

GEF
The middle point aka the E has to be in the middle and then the first and last points don’t matter

4 0

2 years ago

2.57 as a improper fraction

USPshnik [31]

Answer: 2 57/100 hope that helps

6 0

3 years ago