3 years ago

I need help with this question on a math test

Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

large square: 144

Medium square: 100

small square: 9

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What is the slope of the line through (1,0) and (3,8)

Arturiano [62]

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 0)/(3 - 1)

Slope = 8/2

Slope = 4

Answer

6 0

3 years ago

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A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters

Maksim231197 [3]

<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

$x^2-7x-60=0$

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

$13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0$