Hey!!
So to factor it, you want to see what 2 numbers will multiply and make 9 and what 2 numbers will add and make -6.
so 9 and 1 and -9 and -1 make 9 but they dont make -6.
3 and 3 and -3 and -3 make 9, but we need to see which one makes -6. that would be -3 and -3
so the answer is (x-3)(x-3)
you can foil to make sure.
x * x is x^2
-3*x=-3x
-3*x=-3x
-3x-3x = -6x
-3*-3 is 9
so it is x^2-6x+9 which makes the original equation
Hope this helps!
#1:
A)
you need to know where a vertex goes on a isosceles triangle...
I attached a picture that explains it.....
you also want to label triangle.... XYZ
I put a picture on of how you should of labeled the triangle...
B)
so we need to find Measure for each angle.... REMEMBER: A triangle angles needs to = 180.
so your equations will need to be equal to 180.
4x+4+2x+2+7x-8=180
so we combine liked terms
4x+2x+7x=13x
4+2-8=-2
13x-2=180
+2 +2
13x=182
/13 /13
x=14
now you plug in X
4(14)+4= 60
2(14)+2= 30
7(14)-8= 90
now you want to check you answers so add them up to see if your answers equal 180...
60+30+90=180
to be continued.... i do second question on a second answer since i dont want pictures to get mixed up
the value of the car will be 3250 after 5 years
Step-by-step explanation:
the value of the car = 13000
rate of interest = 15%
time = 5 years
in 5 years the car will depreciates = 13000 X 15% X 5
=
= 9750
after 5 years the value of the car is = 13000 - 9750 = 3250
Hey there! :)
Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!
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