Answer:
y = 2x−2
Step-by-step explanation:
You are given a slope and a point, so you can write the equation using point-slope form:
y -k = m(x -h) . . . . . . a line with slope m through point (h, k)
Putting in the numbers given, you have ...
y -6 = 2(x -4)
y = 2x -8 +6 . . . . eliminate parentheses, add 6
y = 2x -2 . . . . . . . collect terms.
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You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.
- 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
- 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
- 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
Answer:
Step-by-step explanation:
<u>The new dimensions will be:</u>
The area is 540
<u>Using area equation we get:</u>
- (10 + x)(22 + x) = 540
- x² + 32x + 220 = 540
- x² + 32x = 320
- x² + 2x*16 + 256 = 320 + 256
- (x + 16)² = 576
- x + 16 = √576 (Ignoring the negative root as the length is never negative)
- x + 16 = 24
- x = 8
<u>The new dimensions are:</u>
- 10 + 8 = 18 ft and
- 22 + 8 = 30 ft
Answer:
Hello There!!
Step-by-step explanation:
I think the answer is B. The probability of not drawing a club or jack from a deck of cards.
hope this helps,have a great day!!
~Pinky~
Answer: 12.65 cm
Step-by-step explanation:
Use the Pythagoras theorem,
a^2 + b^2= c^2
You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length
c^2 - b^2 = a^2
14^2 - 6^2 = 160
Square root 160 to find the missing length
12.65
Hope this helped :)