Given the line below.

1 answer:

8 0

We have to write the equation of the line, in point-slope form. Given an identified point (x1, y1) as the point (-2, 2). So that means x1=-2 and y1=2

Value of slope "m" is not given so i will keep using "m" for the slope. In case value of slope m is given in the problem then you can plug that number in place of m.

Point slope formula is given by:

$y-y_1=m\left(x-x_1\right)$

plug the given values into above formula :

$y-\left(2\right)=m\left(x-\left(-2\right)\right)$

$y-2=m\left(x+2\right)$

so the required answer in point slope form is $y-2=m\left(x+2\right)$

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d1i1m1o1n [39]

Problem 5)

The bases are the same, so we add the exponents when multiplying something like this out. We have -5+7 = 2 as the final exponent meaning that 5^2 = 25

<h3>Answer: Choice B) 25</h3>

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Problem 6)

We can multiply the exponents (t^8)^2 = t^(8*2) = t^16

Or we can expand out (t^8)^2 to get (t^8)*(t^8), then add the exponents from here to get t^(8+8) = t^16. Either way we get the same answer

<h3>Answer: Choice C) t^16</h3>

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Problem 7)

The negative exponent indicates we will apply the reciprocal to get that exponent to a positive number. The rule is x^(-k) = 1/(x^k)

So 5^(-4) = 1/(5^4) = 1/625 and (t^3)^(-4) = t^(3*(-4)) = t^(-12) = 1/(t^12)

Put together, we end up with 1/(625t^12)

<h3>Answer: Choice C) 1 over 625t^12</h3>

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Which Postulate/Theorem below would prove that the triangles shown below are congruent?

velikii [3]

Answer:

Correct answer is <em>D. ASA</em>

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Step-by-step explanation:

Let us first define <em>ASA congruence</em> rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.

In the question figure, we can figure out following conclusions from Triangles $\triangle SRT\text{ and }\triangle WXY$ respectively: