You can reword the two equations as:
-5x-y=15 (Divide original value by 3)
-2x+6y=6
Then use elimination to find x:
-30x-6y=90 (Multiply by 6 to get y values to be same to cancel out)
-2x+6y=6
You're left with:
-32x=96. Which can then be solved to find x which is -3.
Then plug back in
-2x+6y=6
Now to: -2(-3)+6y=6.
Which reduces to 6+6y=6. So y=0.
To graph them, just reword the equations (yes once again) so that y is in front.
y=-5x-15 and y=(1/3)x+1
Y - 6 = -3/7(x + 5)
y - 42/7 = -3/7x - 15/7
y = -3/7x + 27/7
Use Pythagorus theorem:
a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c
20=c
Therefore, the hypotenuse would be 20 ft.
Hope I helped :)
Answer:
The hypotenuse to the nearest tenth is 8.1
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Let a be the x leg and b be the y leg
a = 7 units
b= 4 units
7^2 + 4^2 = c^2
49+ 16 = c^2
65 = c^2
Take the square root of each side
sqrt(65) = sqrt(c^2)
8.062257748 =c
To the nearest tenth
8.1 =c
Answer:
105 cm²
Step-by-step explanation:
We can see that the area at the square at the bottom, since one side is 5, is 5²=25. Then, we know that the height of the triangles is 8, the base is 5, and there are 4 of them, so ((5*8)/2)*4=80. Add these up to get 105 as our total