Given that the map reported that <span>the scale is 1 inch to 20 miles.
Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200
Therefore, the scale of </span><span>1 inch to 20 miles can also be represented as 1 to 1,267,200</span>
Mickey's bowling score is 167 and Minnie's bowling score is 61
Step-by-step explanation:
The given is:
1. Mickey's bowling score is 16 less than 3 times Minnie's score
2. The sum of their scores is 228
We need to find the score of each one
Assume that the score of Minnie is x
∵ Minnie's score = x
∵ Mickey's score is 16 less than 3 times Minnie's score
- That means subtract 16 from 3 times Minnie's score
∴ Mickey's score = 3 x - 16
∵ The sum of their scores is 228
- Add their scores and equate the sum by 228
∴ x + 3 x - 16 = 228
- Add like terms in the left hand side
∴ 4 x - 16 = 228
- Add 16 for both sides
∴ 4 x = 244
- Divide both sides by 4
∴ x = 61
Substitute the value of x to find their scores
∵ Minnie's score is x
∴ Minnie's score = 61
∵ Mickey's score is 3 x - 16
∴ Mickey's score = 3(61) - 16 = 167
Mickey's bowling score is 167 and Minnie's bowling score is 61
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2+3+7 is 12 and you can also use 16-3-1 is 12 and 12×1 is 12 and theres lots more ways
<span>difference of squares formula:
</span>a^2<span> – b^</span>2<span> = (a + b)(a – b)
</span>so answers are
<span>(3 + xz)(–3 + xz)
</span><span>(y2 – xy)(y2 + xy)
</span><span>(64y2 + x2)(–x2 + 64y2)
</span><span>
cause
</span><span>(3 + xz)(–3 + xz)
= </span><span>(xz + 3 )(xz - 3)
= x^2z^2 - 9
--------------
</span>(y^2 – xy)(y^2 + xy)
= y^4 -x^2y^2
----------
<span>(64y^2 + x^2)(–x2 + 64y^2)
=</span>(64y^2 + x2)(64 - x^2)<span>
= 64^2 y^4 - x^4</span>
This is a linear function y=mx + b
If x = 0 then y=b, if A is the point where y intercepts y-axis, the coordinates of
A(0,b)
If you want to shift the graph up by 2 units, then you have to add 2 units to b
In our case original b=7, =so to shift it up, b becomes 7+2=9
and the new function will be y=2x + 9
