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3 years ago

What is the distance between the points (5,2) and (-9,-2)?

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

Between 5 and -9 it’s 14 units and between 2 and -2 it’s 4

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What is the slope of (-1,6) and (2,3)?

LenKa [72]

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

$\boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}$

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

$\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }$

$\implies \mathsf{ \frac{ - 3}{2 + 1 } }$

$\implies \mathsf{ \frac{ - 3}{3 } }$

$\implies \mathsf{ - 1 }$

Hence, the slope of the line joining the given points is <u>-1.</u>

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2 years ago

100 points!! <br> Please solve question 50 in detail

SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

$log_{b} \frac{b^{2}x^{\frac{5}{2} }}{\sqrt{y}}$

First, write the square root as exponent.

$log_{b} \frac{b^{2}x^{\frac{5}{2} }}{y^{\frac{1}{2}}}$

Move the denominator to the numerator and negate the exponent.

$log_{b}(b^{2}x^{\frac{5}{2}}y^{-\frac{1}{2}})$

Use log product property.

$log_{b}(b^{2}) + log_{b}(x^{\frac{5}{2}}) + log_{b}(y^{-\frac{1}{2}})$

Use log exponent property.

$2 log_{b}(b) + {\frac{5}{2}}log_{b}(x) - {\frac{1}{2}}log_{b}(y)$

Substitute values.

$2(1) + \frac{5}{2}(0.36) - \frac{1}{2}(0.56) \\2.62$

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Answer:

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Step-by-step explanation:

2*100= 200

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2 years ago

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F) 6×(-2)×(-4)=48

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What is the distance between the points (5,2) and (-9,-2)?​

What is the distance between the points (5,2) and (-9,-2)?