Answer:
Step 3 they took the square root incorrectly
Step-by-step explanation:
5 ( x-2)^2 +6 = 86
Subtract 6 from each side
5 ( x-2)^2 +6 -6= 86-6
5 ( x-2)^2 = 80
Divide each side by 5
5 ( x-2)^2 /5 = 80/5
(x-2)^2 = 16
Take the square root of each side
sqrt((x-2)^2) = ±sqrt(16)
x-2 = ±4
Answer:
I can't see the picture sorry
Step-by-step explanation:
Answer:
B) no, because the corresponding angles are not congruent
Step-by-step explanation:
Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.
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Answer:
ΔV = 0.36π in³
Step-by-step explanation:
Given that:
The radius of a sphere = 3.0
If the measurement is correct within 0.01 inches
i.e the change in the radius Δr = 0.01
The objective is to use differentials to estimate the error in the volume of sphere.
We all know that the volume of a sphere

The differential of V with respect to r is:

dV = 4 πr² dr
which can be re-written as:
ΔV = 4 πr² Δr
ΔV = 4 × π × (3)² × 0.01
ΔV = 0.36π in³
ANSWER
The rule is given by the relation,

EXPLANATION
We need to check and see if there is a constant difference between the y-values.

We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,

Then the points in the table should satisfy the above rule.
So let us plug in

This implies that,



Our rule now becomes,

We again plug in another point say, (-1,-1) in to equation (1) to get,

we solve for m now to obtain,



We now substitute back in to equation (1) to get