Answer:
option A
Step-by-step explanation:
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Answer:
![(f+g) (x)=\mid 3x+5\mid+13](https://tex.z-dn.net/?f=%28f%2Bg%29%20%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B13)
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
![f(x)=\mid 3x+5\mid+6](https://tex.z-dn.net/?f=f%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B6)
![g(x)=7](https://tex.z-dn.net/?f=g%28x%29%3D7)
The sum of (f+g) (x) is:
![(f+g) (x)=\mid 3x+5\mid+6+7](https://tex.z-dn.net/?f=%28f%2Bg%29%20%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B6%2B7)
We cannot operate with the expression inside the absolute bars, thus:
![\boxed{(f+g) (x)=\mid 3x+5\mid+13}](https://tex.z-dn.net/?f=%5Cboxed%7B%28f%2Bg%29%20%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B13%7D)
Answer:
They'll meet after 200 meters , if they simultaneously start running towards each other.
Step-by-step explanation:
Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.
Dog: Distance =Speed x time: x=30t
Cat: Distance = 200-x
=24t
The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs
So they will meet after 3.7 seconds
To check:
Distance travelled by dog :x=30(3.7)
=111.11 meters
Distance travelled by cat: 24t=24(3.7)
=88.89 meters
Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89
=200 meters
Your answer:
20% of 28.35 is 5.67. 6.25% of 28.35 is 1.77. Add 28.35, 5.60, and 1.77 to get the final total of $35.79
Answer:
2nd Option is correct that is ∠T and ∠P.
Step-by-step explanation:
We are given that ΔGET ≅ ΔMAP
We need to find Congruent part from the given options.
Since, we are given the figure of the congruent triangles with marking not any instruction with which vertex is congruent to which vertex.
So, The Given Name of the Congruent triangle.
We deduce that
G ↔ M
E ↔ A
T ↔ P
Using this we get following congruent parts,
GE ≅ MA , GT ≅ MP and ET ≅ AP
∠G ≅ ∠M , ∠E ≅ ∠A and ∠T ≅ ∠P.
Therefore, 2nd Option is correct that is ∠T and ∠P.