How to draw a hexagon in 6 equal parts

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

8 0

Just split it in to three rhombuses and then split each rhombus in half.
You will now have six triangles

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(5,6), (9,1) slope intercept form

larisa86 [58]

Answer:

y = (-5/4)x + 12.25

Step-by-step explanation:

Slope intercept form:

y = mx + b

Slope form:

m = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (9 , 1)

(x₂ , y₂) = (5 , 6)

Plug in the corresponding numbers to the corresponding variables.

m = (6 - 1)/(5 - 9)

Simplify.

m = (5)/(-4)

Your slope is -5/4

Plug in -5/4 for m in the slope-intercept form equation, and use a point to solve for b. For example, we will use (9, 1):

y = mx + b

y = (-5/4)x + b

(1) = (-5/4)(9) + b

Simplify.

1 = (-11.25) + b

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 11.25 to both sides.

1 + (11.25) = -11.25 (+11.25) + b

1 + 11.25 = b

b = 12.25

your y-intercept is 12.25

Plug in the corresponding numbers to the corresponding variables.

y = mx + b

m = -5/4

b = 12.25

y = (-5/4)x + 12.25 is your answer.

4 0

4 years ago

A small planes flies 600 miles against the wind.in 3 hours. The return trip with the wind takes 2

suter [353]

Answer:

Speed of the plane: 250 mph

Speed of the wind: 50 mph

Step-by-step explanation:

Let x be the speed of the plane.

Let y be the speed of the wind

#Given that It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. We set our equations as:

$\frac{600mi}{3hr}=x-y\\\\\frac{600mi}{2hr}=x+y\\\\\\200mph=x-y\ \ \ \ \ \ ...i\\\\300mph=x+y\ \ \ \ \ \ \ ...ii\\\\\therefore\ x=200\ mph+y\\\\\#Substitute \ in \ ii\\\\300\ mph=200\ mph+y+y\\\\y=50\ mph\\\\\\x=200\ mph+50\ mph$