Answer:
X=6.1
Step-by-step explanation:
x-5=0.1(x+5)
x-5=0.1x+0.5 (distribute 0.1)
x=0.1x+0.5+5 (add 5 to each side)
x-0.1x=5.5 (subtract 0.1x from each side)
0.9x=5.5 (combine like terms)
x=5.5/0.9 (divide by 0.9 on both sides)
x=6.1 (simplify)
Answer:
C
Step-by-step explanation:
Rather than picking, let's try to construct one from the description.
reflected over the x axis means -
the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.
To move left and right you use 
where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.
To move up and down we use 
Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2
So now we put them all together 
And if you look, C matches that exactly.
(12,-24)
x intercept is 12 & y intercept is -24
Answer:
4/5
Step-by-step explanation:
<u>Given</u>,
Area of the triangle = 1/4 square meters
From the diagram,
Height = 2/5 m
<u>To find</u> : Length of the base
<u>Formula</u> : -
A = bh/2
Here,
A denotes Area
b denotes Base
h denotes Height
A = 1/4
h = 2/5
A = bh/2
Cross multiply,
A * 2 = bh
2A = bh
2 * (1/4) = b * (2/5)
(1 * 2)/4 = (b * 2)/5
2/4 = 2b/5
1/2 = 2b/5
Cross multiply,
1 * 5 = 2 * 2b
5 = 4b
b = 4/5 meters
Hence,
The length of the base is 4/5 meters.
Answer:
No
Step-by-step explanation:
Put x = 2 into both equations:
For x- 10 = 2-10 = 8 (Not > 8)
For -0.5x-4 = -0.5*2-4 = -5 (Not < -8)
Hence, the answer is no.
