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3 years ago

Given the figure, what is tan(B)?

Mathematics

1 answer:

alexandr402 [8]3 years ago

6 0

$\tan B = \frac{b}{a}$

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What is the value of x in the equation (2x + 1)1/3 + 3 = 6

OleMash [197]

Answer:

x = 4

Step-by-step explanation:

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3 years ago

Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 5x + 2 > 12 true?

kicyunya [14]

Answer:

3,4,5

Step-by-step explanation:

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4 years ago

Write 1-2log7x as a single logarithm

slavikrds [6]

Answer:

$log_{7} \frac{7}{x^{2} }$

Step-by-step explanation:

We need to write $1 - 2log_{7}x$ as a single logarithm.

We know that

$log_{7}7 = 1$

Therefore we have:

$log_{7}7 - 2log_{7}x$

→ $log_{7}7 - log_{7}x^{2}$

→ $log_{7} \frac{7}{x^{2} }$

The solution is: $log_{7} \frac{7}{x^{2} }$

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4 years ago

Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1

bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment $\overline{AB}$ such that a point P(x,y) lying on that line segment $\overline{AB}$ divides the line segment $\overline{AB}$ in m:n, then, the coordinates of the point P is given by:

$(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)$

where we have:

the coordinate of A is $(x_1, y_1)$
and the coordinate of B is $(x_2, y_2)$

We're given that:

Coordinate of A is $(x_1, y_1)$ = (-7,2)
Coordinate of B is $(x_2, y_2)$ = (9.-6)
The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

$(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)$