Question is a bit vague. If you wish to graph this inequality, you'll need to know what the graph of the absolute value function y = |x| looks like; it's a " V " with the vertex at the origin. The slope of the right half of the graph is m=1. Draw this function.
Next, subtract 2 from both sides. We'll get <span> |x + 1| < –1 - 2
or
</span> |x + 1| < –3. We can stop here! Why! because the absolute value function is never smaller than zero, and so <span> |x + 1| is never smaller than -3.
You could, of course, graph y = |x+1|; start with your graph for y = |x| and then move the whole graph 1 unit to the left (away from the origin). If you do this properly you'll see that the entire graph is above the x-axis, except for the vertex (-1,0). Again, that tells us that the given inequality has no solution.
</span>
Answer: False
Step-by-step explanation:
The maximum force in Newtons that can be safely applied to the tiles is; 735 N
<h3>How to calculate the force from pressure?</h3>
We are given the dimensions of the rectangular floor as;
Length = 1.6 m
Width = 2.3 m
Now, we are told that the tile is only able to sustain a maximum pressure
of 200 Newtons per square metre (N/m²). The formula for pressure here is; Pressure = Force/Area
Thus;
Force = Pressure * Area
Maximum force = 200 * (1.6 * 2.3)
Maximum force = 736 N
Since the Pressure was approximated to the nearest 5 N/m², then;
Maximum pressure will be approximated downwards to 735 N/m²
Read more about Force at; brainly.com/question/25573309
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Answer:
Jack took 10 pictures on his bike ride.
Step-by-step explanation:
Given that:
Given measurements of sides are 3 miles and 4 miles
We will find the distance of the new route by using Pythagorean theorem.
(3)² + (4)² = c²
9 + 16 = c²
25 = c²
c² = 25
Taking square root on both sides
The distance of new route = 5 miles
Picture taken per mile = 2
Picture taken on bike ride = 2*5 = 10 pictures
Hence,
Jack took 10 pictures on his bike ride.
19. 4/6 or 2/3 (lowest term) or 2:3 in ratio
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
