3d + 8 = 2d - 7 equals d = -15.
First, subtract 2d from both sides. Your problem should look like: 3d + 8 - 2d = -7.
Second, simplify 3d + 8 - 2d to get d + 8. Your problem should look like: d + 8 = -7.
Third, subtract 8 from both sides. Your problem should look like: d = -7 - 8.
Fourth, simplify -7 - 8 to get -15. Your problem should look like: d = -15, which is your answer.
Hopefully this helps, I'm not exactly sure what you meant by "is equations," but this is how you solve the problem.
Answer: See explanation
Step-by-step explanation:
From the information, we are told that Mrs. Elizondo runs around a 400-meter track. If she runs 4 laps, the total meters will be:
= 400 × 4
= 1600 meters
Since she uses a constant speed of 250 meter per minute. The number if minutes taken to complete the 4 laps will be gotten by dividing 1600 by 250. This will be:
= 1600 / 250
= 6.4 minutes
= 6 minutes + (0.4 × 60 seconds).
= 6 minutes 24 seconds
Answer:
PD = 12
Step-by-step explanation:
Using the tangent ratio in right Δ PDW and the exact value
tan30° = 
, then
tan30° = 
= 
= 
= ( cross- multiply )
PD = 12
Answer:
YZ = 44
Step-by-step explanation:
Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:
WA * AX = ZA * AY
We can substitute the values we are given to get:
(2x - 6)(21) = (x + 1)(30)
42x - 126 = 30x + 30
12x - 126 = 30
12x = 156
x = 13
Using segment addition postulate, we can say that:
YZ = YA + AZ
And we can plug in what we know from the diagram:
YZ = 30 + x + 1
We can also plug in the value of x, 13
YZ = 30 + 13 + 1 = 44
Direction Angle of the Vector : y = -5i + 2j
