Areta que passa pelos pontos (2,-1) e (6,4) intersecta o eixo das abcissas no ponto (x,0) onde x é igual a: a) -2,8 b) 2,8 c) 0,15 d) 1,8 e) 1,6

Step-by-step explanation:

we are given that

line passes through (2,-1) and (6,4)

Firstly, we will find equation of line

First point is (2,-1)

x1=2, y1=-1

second point is (6,4)

x2=6 , y2=4

now, we can find slope

now, we can plug values

now, we can use point slope form of line

now, we can plug values

since, we have to solve for x from (x,0)

so, we can set y=0

and then we can solve for x

For the given triangle, the opposite side measures 7 (sin 50°) m.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 50°, assume the opposite side has a length of x units while the hypotenuse of the triangle measures 7m. The adjacent side of the triangle is not given.

To determine the value of x, we determine the value of the sin of the given triangle.

To calculate the sin of an angle we divide the opposite side by the hypotenuse of the same triangle.

Step 2:

The length of the opposite side = x m.

The length of the hypotenuse = 7 m.

So the opposite side of the triangle measures 7 (sin 50°) m.