Can someone help with this math question

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

This is a problem of region. As shown in the figure, we have straight lines. We know that the equation for non-vertical lines is often given in the slope-intercept form by:
$y=mx+b$

being m the slope of the line and b the y-intercept of it.

On the other hand, if x = 0 then y = b.

We will order the equations above without inequalities like this:

 $y=-x-6$

So, the G and J are straight lines with negative slope. We need to find the one that matches the inequality. Taking a point, for example (0, 0), we will analyze Figure J, so in the inequality:

 $0+0\ \textless \ -6$

This is false, so this statement doesn't match the Figure J. Therefore, the answer is G.

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The area of a trapezium is 800 cm2

svlad2 [7]

Answer:

The distance between the parallel sides is 20cm.

Step-by-step explanation:

Area of a trapezoid:

$A=\frac{a+b}{2}\times h$

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.

3 of the 4 variables in this equation are already given:

A = 800

a = 48

b = 32

Just plug those in and solve for h:

$\rightarrow 800=\frac{48+32}{2}\times h\\\rightarrow 800=\frac{80}{2}\times h\\\rightarrow 800=40\times h\\\rightarrow 800\div40=h\\\rightarrow h=20$