The height of a triangle is twice the length of its base. The area of the triangle is 50 m2. Find the height and base to the nearest tenth of a meter.

Step-by-step explanation:

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Base = 7.1m

Height = 14.2m

Step-by-step explanation:

Let's take the base as 'x'.

And the height is twice the base so it is 2 × x which is 2x.

Then, the formula for finding area of a triangle is:

Area of a triangle = × base × height

From this equation we will be able to find the value of 'x'.

The area is 50 . Now substitute all the terms into the equation.

 50 =   × x ×  2x

 50 =   ×

 50 =

The '2' in the numerator and denominator can be cut off.

  = 50

 x =

 x = 7.07 = 7.1m ( to the nearest tenth )

So when the base is 7.07 the height, as mentioned, is twice of base, 2x. We have the value of x so just substitute the value of x in 2x.

 2 × 7.1 = 14.2m

1 is c

2 is a

3 is a

step-by-step explanation:

b: y = 2x + 2

step-by-step explanation:

y = 2x + 1

we want a line that is parallel, so it will have the same slope

the line is in the form y= mx+b, so the slope is 2

we have a slope and the y intercept (0,2)

since x is 0 we know the y point which is the y intercept

we can use y= mx+b to write the equation of the line

m is the slope and b is the y intercept

y = 2x +2