Answer:
A
Step-by-step explanation:
Recall that for a function to be valid, each input value of x must give us one and only one unique output value for y.
in this case we can see that one of the data sets is (3,-1)
which means that an input of 3 gave an output of -1
but we also see that another data set (3,1)
in this case an input of 3 gave an output of 1.
Because the same x input gives 2 different y outputs, this is not a function.
the answer is A
X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
The surface area of the sphere:
A = 4 r² π
1 ) r = 60 m;
A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
A = 4 · 7² π = 4 · 49 π = 196 π cm²
Answer:
70
Step-by-step explanation:
Answer:
∡GFB
Step-by-step explanation:
∡GFB and ∡HGD are corresponding angles