X
4
−34x
2
+225=0
2 Factor
x
4
−
34
x
2
+
225
x
4
−34x
2
+225.
(
x
2
−
25
)
(
x
2
−
9
)
=
0
(x
2
−25)(x
2
−9)=0
3 Solve for
x
x.
x
=
±
5
,
±
3
x=±5,±3
Answer:
13
Step-by-step explanation:
ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.
In this case the scale factor is 1/2. That means DEF is half ABC.
Since AB = 26 then DE must be 26/2 = 13
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Since the triangles are the same, just flipped that means that all angles and segments are the same as well
I'm not sure if that's the "correct" way to prove it but that's why they're equal
Answer:
x = 4.
Step-by-step explanation:
2x + 3(5x - 7) = 47
2x + 15x - 21 = 47
17x - 21 = 47
17x = 68
x = 68/17
x = 4.
