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Mathematics

2 answers:

Triss [41]3 years ago

5 0

Answer:

y = x^2 - 4x - 5

y = (x + 1)(x - 5)

Lena [83]3 years ago

4 0

Answer:

$Standard \: form :\:y= {x}^{2} - 4x - 5\\Factored\: from:\:y = (x + 1) (x - 5)$

Step-by-step explanation:

$y = (x - 2)^{2} - 9 \\ y= {x}^{2} - 4x + 4 - 9 \\ \red{ \boxed{ \bold{y= {x}^{2} - 4x - 5}}} \\ is \: in \: standard \: form \\ \\ y = (x - 2)^{2} - 9 \\ y = (x - 2)^{2} - {3}^{2} \\ y = \{(x - 2) + 3\} \{(x - 2) - 3 \} \\ y = \{x - 2 + 3\} \{x - 2- 3 \} \\ \purple{ \boxed{ \bold{y = (x + 1) (x - 5)}}} \\ is \: in \: factored \: form$

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Evaluate tan(Sin-1(-5/13)). Answer as a fraction please.

dangina [55]

Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))

Let A = arcsin(-5/13) = -arcsin(5/13)

Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12

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3 0

3 years ago

Look at the figure. Classify the pair of angles: <2 and <7.

s344n2d4d5 [400]

Answer:

Same-side exterior angles

Step-by-step explanation:

Through the process of elimination it is not:

→ Corresponding angles as that would be 2 and 6

→ Same side interior angles as that would be 3 and 6 or 4 and 5

→ Alternate interior angles as that would be 6 and 4 of 3 and 5

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