Answer:
Step-by-step explanation:
let the number=x
5+2x≤27
2x≤25-5
2x≤20
x≤4
Answer:
Step-by-step explanation:
Answer:
-7/4
Step-by-step explanation:
Recall that slope, m, is defined as the ratio rise to run: rise/run.
Note that if we start at x = -2 (an arbitrary choice), and move 6 units to the right, we end up at x = 4. This is the 'run.' Simultaneously, y starts at 1 and decreases to - 6, a change of -7.
Thus, the slope of the line through these two points is m = rise/run = -7/4
Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
To eliminate a cariable in a system of equations, we multiply the variable by a factor that will make both coefficients of the variable to be equal.
Thus, we multiply the coefficient of y in the second equation by a factor that will make it equal to the coefficient of y in the first equation. i.e. multiply 1/2 by a factor that makes it equal to 3/4. and the factor is 3/2.
Therefore, the third option is the correct answer.
