Answer:
Position of point X on the number line must be X = -27
Step-by-step explanation:
Notice that there are 14 units between W and Y, since the absolute value of their difference is :
| -15-(-29) | = | -15 + 29 | = 14
Now let's write an equation that tells as what is the distance between W and X in terms of WY knowing that we want WX to be 1/7 of WY:
This is telling us that the point X must be located two (2) units to the right of point W. That is W + 2 = -29 + 2 = -27
Position of point X on the number line must be X = -27
Answer:
12 cm is the answer of this question
Line x is the mid point of both lines
so the triangle becomes base = 19.2/2 = 9.6
hypotenuse = 24/2 = 12
using Pythagorean theorem:
x^2 = 12^2 - 9.6^
x^2 = 144 - 92.16
x^2 = 51.84
x = sqrt(51.84) = 7.2
Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
Answer:
about an hour and 42 minutes
Step-by-step explanation:
Time=Distance/Speed
