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3 years ago

What is the equation of the line that is the perpendicular bisector of the segment

Mathematics

1 answer:

Naya [18.7K]3 years ago

6 0

Answer:

y= kx + 5

Step-by-step explanation:

Perpendicular bisector passes through the midpoint of the line.

<u>The midpoint is:</u>

x = (10 - 10)/2 = 0
y = (-15 + 25)/2 = 5

<u>Slope of the line:</u>

m = (25 - (-15))/(-10 - 10) = -2

The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.

<u>Use point-slope form and point (0, 5) to find the equation of the line:</u>

y - 5 = 1/2(x - 0)
y = 1/2x + 5

Correct option seem B as others don't match ours

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20 POINTS

RUDIKE [14]

<em>The correct expressions are as follows:</em>

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $343$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$

$\texttt{ }$

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

$\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }$

$\boxed { (a ^ b) ^ c = a ^ { b . c } }$

$\boxed {a ^ b \div a ^ c = a ^ { b - c } }$

$\boxed {\log a + \log b = \log (a \times b) }$

$\boxed {\log a - \log b = \log (a \div b) }$

<em>Let us tackle the problem!</em>

$\texttt{ }$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7^2)^{\frac{7}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7)^{2\times \frac{7}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5} + \frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{15}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{3}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{343}$

$\texttt{ }$

<em>From the results above, it can be concluded that the correct statements are:</em>

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $343$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$

$\texttt{ }$

<h3>Learn more</h3>

Coefficient of A Square Root : brainly.com/question/11337634
The Order of Operations : brainly.com/question/10821615
Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

4 0

4 years ago

Read 2 more answers

✨Plz help me well mark brainliest if u have a explanation!✨

Svetradugi [14.3K]

Did they give you the tax rate, or are you supposed to include the tax in the price of one bottle?

6 0

3 years ago

Hey can someone please help me solve system of equations I’m failing can y’all help me pleaseee

Kazeer [188]

Cashier job pays $9 per hour
Delivering newspaper pays $8 per hour

3 0

3 years ago

Please help!!! 20 points

Neko [114]

Answer:

4) 2xy(x^2-2x-8) 2xy(x-4) (x+2)

5) 3(x^2-9x-10 3(x+1) (x-10)

Step-by-step explanation:

4 0

3 years ago

Al final de la carrera de una famosa maratón, tres amigos, Hermes, Benito y

Fantom [35]

Answer:

Benito llega en segundo lugar.

Eladio llega en sexto lugar

Hermes llega en noveno lugar.

Step-by-step explanation:

Tenemos 3 amigos:

Benito

Hermes

Eladio

Hay 3 posiciones:

segundo

sexto

noveno.

Sabemos que:

Benito llegó antes que Hermes.

Cuando Eladio estaba llegando a la meta, solo Benito estaba descansando.

Es decir, cuando Eladio llego a la meta, Hermes aún no había llegado.

Eladio llegó a la meta antes que Hermes, pero después que Benito.

Entonces el primero en llegar es Benito, el segundo es Eladio y el tercero será Hermes.

Con la data inicial podemos decir que:

Benito llega en segundo lugar.

Eladio llega en sexto lugar

Hermes llega en noveno lugar.

3 0

3 years ago