Answer:
(7, 0 )
Step-by-step explanation:
Given the 2 equations
y = - 2x + 14 → (1)
y = 2x - 14 → (2)
Since both equations express y in terms of x we can equate them
2x - 14 = - 2x + 14 ( add 2x to both sides )
4x - 14 = 14 ( add 14 to both sides )
4x = 28 ( divide both sides by 2 )
x = 7
Substitute x = 7 into (2) for corresponding value of y
y = (2 × 7) - 14 = 14 - 14 = 0
Solution is (7, 0 )
Answer:
2 times as large
Step-by-step explanation:
For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128
For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus
V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256
To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in
π * 256 / (π *128) = 2
Answer:
B -3.
Step-by-step explanation:
The slope = (y2-y1)/(x2-x1)
= (-2-4)/(8-6)
= -6/2
= -3.
The 7-digit number we are looking for is 8,92a,bcd
"The value of the thousands digit is double that of the ten thousands digit."
The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.
The 7-digit number we are looking for is 8,924,bcd
"The sum of all its digits is 24."
8+9+2+4+b+c+d = 23 + b+ c+ d
Thus b+c+d = 1
The digits to the tens and hundreds places are the least and same value.
These two digits (b and c) must be 0, because b+c+d = 1
That means that the digit "d" must be equal to 1.
The 7-digit number we are looking for is 8,924,001
This number is the only number that satisfies all the conditions stated in the question.
