Answer:
40
Step-by-step explanation:
because vertical angles are equal
3×40=120
Answer:
-3x = 7 .
Step-by-step explanation:
-3x - 6 - 1 =
-3x - 7
Hope that helps!
Answer:
(-3, 5) radius- r= 5
Step-by-step explanation:
x^2+6x+y^2-10y=-9
Rewrite ^2+6x+y^2-10y=-9 in the form of the standard circle equation
(x-(-3))^2+(y-5)^2= 5^2
Therefore the circle properties are:
(a, b)=(-3, 5), r= 5
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
Adds 3 both sides


Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
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B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
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C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.