Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
A) 2x + 10 equals 2x + 10
B) 7x + 3 does NOT equal 7x + 15
C) 4y - 8 doe NOT equal 4y - 2
D) 2y + 12 does NOT equal 2y - 12
Thus, A is the appropriate answer.
Hope that helped!
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left
Dividing both sides by 10
There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Step-by-step explanation:
<h2>Answer:-</h2><h3>Given ,</h3>
The figure is Similar.
Observation:-
Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.
We have :-
5+3=8 as similar sides.
So, applying same algorithm,
is the answer.
Hope it helps :)
Answer:
Triangles:
10 m, 21 m, 29 m
10 m, 29 m, 37 m
Not triangles:
10 m, 14 m, 29 m
10 m, 29 m, 40 m
Step-by-step explanation:
For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.
Let us check each of the options.
Option 1: 10 m, 14 m, 29 m
The sum of lengths 10 m and 14 m must be greater than 29 m.
10 + 14 = 24 < 29
So, this is not a triangle.
Option 2: 10 m, 21 m, 29 m
10 + 21 = 31 > 29
21 + 29 = 50 > 10
29 + 10 = 39 > 21
Therefore, it is a triangle.
Option 3: 10 m, 29 m, 37 m
10 + 29 = 39 > 37
29 + 37 = 66 > 10
37 + 10 = 47 > 29
Therefore, it is a triangle.
Option 4: 10 m, 29 m, 40 m
10 + 29 =39 < 40
So, this is not a triangle.
