Answer: H. 22 centimeters
Step-by-step explanation:
A right angle triangle is formed. To determine w, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
From the diagram,
Hypotenuse = 17 cm
Opposite side = 8 cm
Adjacent side = w - 7
Therefore,
17² = 8² + (w - 7)²
289 = 64 + (w - 7)²
289 - 64 = (w - 7)²
225 = (w - 7)²
Taking square root of both sides if the equation, it becomes
w - 7 = √225 = 15
w = 15 + 7
w = 22 cm
Okay, first thing is you want to have x and y all alone. So you need to solve the equations.
Equation 1:
5x+4y=12 (you want to subtract 5x on both sides to get y on one side and x on the other)
5x+4y=12
<u>-5x -5x
</u><u> 4y=12-5x</u> (Now if you want x and y alone you want to divide 4 on both sides)
4
y=3-1.25x Now that's you equation
Equation 2: (Basically the same steps for the 1st equation)
3x-3y=18 (Subtract 3x on both sides)
<u>-3x -3x </u><u>
</u><u>-3y=18-3x </u> (Now you divided by -3 on both sides)
-3
y=-6+x (you might notice why is there only 1 x, well because -3 divided by -3 is going to be a positive 1. You can either put a "x" or a 1x, doesn't really matter).
now since you have the two equations simplified you want to solve by doing multi-step.
3-1.25x=-6+x (Now you want to add 1.25x so you can get rid of the negative x)
<u> +1.25x +1.25x
</u> 3= -6+2.25 (Remember x alone is like 1, so it's like 1+1.25, next you want to add 6 on both sides. So you have a number and a variable all alone).
3=-6+2.25x
<u>+6 +6
</u><u>9 </u><u>= </u><u>2.25x</u> (Next you divided 2.25 on both sides)
2.25 2.25
Answer:
x =4
If your not sure, you can plug in or replace x with 4. :D
<em>I really do hope this help you understand :D </em>
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The answer is -2 because slope is rise over run and it’s -4/2 which is -2. -6 is the y intercept.
5/9 divide top and botom by 9
I know one would be acute because its a shape