90x+120 is equivalent to 30 (3x+4)
Answer:
Step-by-step explanation:
slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5
slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3
product of the slopes = -1, so the lines are perpendicular.
The tension in the cable is given by the newton's first law will be 163.622 N.
<h3>What is newton's first law?</h3>
The summation of the force is equal to zero.
The formula is given as
ΣF = 0
Where m is the mass of the body and a is the acceleration.
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.
Then the tension in the cable will be
Let T be the tension in the cable.
T sin 29° + T sin 53° – 210 = 0
On simplifying, we have
T (sin 29° + sin 53°) = 210
T = 163.622 N
More about the newton's first law link is given below.
brainly.com/question/974124
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1. 1 hour = 60 minutes
We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.
2. (Same convertion)
5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)
So, the last day rained longer than the day before it.
3. 1 day = 24 hours.
We convert 3 days to hours : 3 x 24 = 72 (hours)
Since 72 > 68, Wendy's family lost their power longer than their neighbors.
4. 1 minute = 60 seconds
Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)
Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)
5.
Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?
Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)
Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.
Answer:
-5/8
Step-by-step explanation:
13/ -56 -x = 11/28
Add 13/56 to each side
13/ -56 + 13/56 -x = 11/28+ 13/56
-x = 11/28 + 13/56
Get a common denominator
-x = 11/28 *2/2 +13/56
-x = 22/56 + 13/56
-x = 35/56
Divide top and bottom by 7
-x = 5/8
Multiply both side by -1
x = -5/8
