Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12
<h2>Greetings!</h2>
Answer:
≅ 586.8
Step-by-step explanation:
Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.
The total perimeter is:
(2 * x) + (2 * 5x) because each side has another parallel one.
This means that 2x + 10x = 130
12x = 130
Divide both sides by 12:

x = 
So the area = length * width
x * 5x = area
Substitute the values in:
= 586.8055... ≅ 586.8
So the approximate area is 586.8
<h2>Hope this helps!</h2>
X=12 because a half of 12 is six.
Answer:

Graph in the image attached.
Step-by-step explanation:
Using the model of a linear equation, we have:

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.
So if David starts the trip with 14 gallons of gas, we have b = 14.
'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.
So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]
So our equation is:

The graph of this equation is in the image attached.
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.
3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.
the slope is -3, so the opposite reciprocal slope is 1/3.
the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.
3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6
substitute a and b into the equation
y = ax + b
y = 1/3x + 6
the equation of the line is y = 1/3x + 6.