Answer: 2 1/4
Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4
a) (x+6)^2-25
b) (-6, -25)
Step-by-step explanation:
Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.
For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).
Hope that helped,
-sirswagger21
Answer:
10 units
Step-by-step explanation:
Moving from (-3, -6) to (3, 2), x increases by 6. Draw a triangle and use this 6 as the length of the base. y increases by 8. Label the height of the triangle with this 8. Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:
6^2 + 8^2 = d^2, where d is that distance:
36 + 64 = 100 = d^2, and so d = 10. The distance in question is 10 units.
Step-by-step explanation:
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false
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Answer: A popcorn costs $9
Step-by-step explanation:
Let popcorn be represented by p
Let drinks be represented by d.
Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75
Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138
p + 3d = 36.75 ........... i
3p + 12d = 138 ............ ii
Multiply equation i by 3
Multiply equation ii by 1
3p + 9d = 110.25 ....... iii
3p + 12d = 138 ............ iv
Subtract equation iv from iii
-3d = -27.75
3d = 27.75
Divide both side by 3
d = 9.25
A drink cost $9.25
From equation i
p + 3d = 36.75
P + 3(9.25) = 36.75
P + 27.75 = 36.75
P= 36.75 - 27.75
P= $9
A popcorn cost $9
