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Katyanochek1 [597]
3 years ago
7

Write x2 - 2x + 5 = 0 in vertex form. (Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)

Mathematics
1 answer:
Drupady [299]3 years ago
4 0
To write the given quadratic equation to its vertex form, we first form a perfect square.
 
                x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
                x² - 2x = -5
Complete the square in the left side of the equation,
              x² - 2x + (-2/1(2))² = -5 + (-2/1(2))² 
Performed the operation,
                x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
               (x - 1)² = -4

Thus, the vertex form of the equation is,
          <em>  (x-1)² + 4 = 0</em>
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3 years ago
Algebra 1 plz help me
sasho [114]

Answer:

Step-by-step explanation:

solution is (4,3)

OR

x=4

y=3

this point lies in both the tables.

we have to find a pair which lies on both.

8 0
3 years ago
Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
3 years ago
Help with this question please!!
notsponge [240]
18x can also be expressed as:

= 2x * (4+5)
= 2x * 9
= 18x

ANSWER: 2x * (4 + 5)

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
If f(x)= 1/x and g(x) = 3x+2 find (g • g)(-4)
OleMash [197]

Answer:

-4g2

Step-by-step explanation:

5 0
3 years ago
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