Answer:
b. 4.9 × 1011
Step-by-step explanation:
Using scientific notation is similar to expressing in standard form. Given that (7 × 105)2
We open the parenthesis. This may first be expressed as
7² × 10⁽⁵⁾²
Then expand,
= 49 × 10¹⁰
To put in scientific notation, 49 = 4.9 × 10
Hence the expression becomes
= 4.9 × 10 × 10¹⁰
Using the laws of indices
= 4.9 × 10¹¹ in scientific notation
Answer:
z=-58 bc 13-71= -58
Step-by-step explanation:
Answer:
A perpendicular bisector is a perpendicular line that divides a line into two equal halves
step by step:
To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes
The reason why the surveyor needs to identify the midpoint is as follows:
According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint
In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint
Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes
uhhhh
slope intercept form - (y = mx + b)
slope (m) is (3/2) So, y = 3/2x + b
To find b you plug in the x and y value (2,7)
7 = 3/2 × 2 + b
Isolate x on one side by finding the value of 3/2 × 2 which is 3.
Subtract 3 from both sides which leaves you with 4 = b, so the value of b is 4
Now the slope intercept form is (y = 3/2x + 4)
Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
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<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
