Answer:
x = - 3 ± √27 or if you want it in decimal form correct to nearest hundredth:
x = -8.20, 2.20.
Step-by-step explanation:
x^2 + 6x - 18 = 0
this will not factor so we use completing the square:
x^2 + 6x = (x + 3)^2 - 9 so:
(x + 3)^2 - 9 - 18 = 0
(x + 3)^2 = 27
x+ 3 = ±√27
x = - 3 ± √27
Answer:
2:1
Step-by-step explanation:
Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.
20:10 = 2:1
The scale factor from triangle ABC to triangle DEF is 2:1.
Answer:
d = 100 - 25t
Step-by-step explanation:
Let's use basic logic here.
If we are 100 miles away from a place, and we've got 25 miles to go, we've already travelled 75 miles.
Since we've travelled 75 miles in 3 hours, then we travel at a rate of 75 divided by 3 = 25 miles per hour.
The distance to City A will be represented as 100 - miles already travelled. We can find how many miles have been travelled by multiplying 25 by t, the amount of hours we've spent driving.
This creates the equation d = 100 - 25t
Hope this helped!
Answer:
multiplication
Step-by-step explanation:
9514 1404 393
Answer:
19
Step-by-step explanation:
u =<2,5> v=<7,1>
The dot product is the scalar sum of products of corresponding components:
u·v = 2·7 + 5·1 = 14 +5 = 19
The dot product is 19.