Answer:
- (x, y) = (8, -1)
- (x, y) = (7, 10.5)
Step-by-step explanation:
1. You can use the expression for y to substitute into the first equation:
2x +4(1/4x -3) = 12
2x +x -12 = 12 . . . . . . eliminate parentheses
3x = 24 . . . . . . . . . . . add 12; next divide by 3
x = 8 . . . . . matches choice C
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2. You can use the expression for y to substitute into the second equation:
x -2(2x -3.5) = -14
-3x +7 = -14 . . . . . . eliminate parentheses
21 = 3x . . . . . . . . . . add 3x+14; next divide by 3
7 = x . . . . . matches the third choice
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When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)
Now, notice the "tickmarks" on the angles, that means those two angles are equal, now if ∡ABC is 110, then the remaining is 70, 180 - 110, and if you subtract the 70 from 110, what's left is ∡DBC.
The sphere with the volume 1436.03 m³ has 7m long radius.
To find out the approximate length of its radius by using the formula to calculate volume of sphere is:
V= 4πr³/3
The value of π is 22/7 or 3.14.
So, V = 4 × 3.14 × r³ / 3
Volume of the sphere is given which is 1436.03 m³.
Thus, r³ = 1436.03×3 / 4×3.14
r = ³√ 4308.09/12.56 = ³√343 = 7 m.
Hence, the radius of the given sphere is 7 m.
The cube root of a number is the factor that we multiply by itself three times to get that number.
For example, the cube root of 27 is 3.
To learn more about the sphere click here brainly.com/question/19868745
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Answer:
y = 4x - 1
Step-by-step explanation:
The slope of the line (m) is 4. The line crosses the y-axis at a y-value of -1, so b = -1.
Convert it from 181,200,000 to 1812 x 10^6
