Distance between each pair of points S(4,-3) and T(-2,2)

Mathematics

2 answers:

labwork [276]2 years ago

8 0

Answer:

0.83 repeating

Step-by-step explanation:

The distance in this case would be to find the slope of the two points.

Slope = $\frac{y^{2}-y^{1} }{x^{2}-x^{1} }$

So in this case;

$y^{2}$ = 2

$y^{1}$ = -3

$x^{2}$ = -2

$x^{1}$ = 4

So we just follow the equation: $\frac{2-(-3)}{-2-4}$

$\frac{5}{-6}$ = -0.83 repeating

yulyashka [42]2 years ago

7 0

Answer: The distance is 7.81024. Use distance formula to find it

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The point (2, 3) is on the line given by which equation below?

love history [14]

Plug in the points and see if y and x are equal to each other.

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y=x+1 <em>is the answer.
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2 years ago

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3 years ago

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Len [333]

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$