Answer:
Domain: x ≥ 7
Range: y ≥ -1
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted from function f(x).
We know that we can't take a square root of a negative and get a real number. The closest we can get is the square root of zero, no less.
What x-value renders the square root 0? x = 7 does, and we can't go less than that or we will get imaginary numbers. Therefore, the domain is x ≥ 7.
To find the range, we simply solve the rest of the function when x = 7, as we cannot go any lower.
y = 0 - 1
y = -1
Therefore, our range has to be y ≥ -1 because that would be the lowest y-value outputted from the lowest x-value.
Answer:
Length of each piece = 16cm.
Step-by-step explanation:
Since the chart paper is 48cm x 32cm in size, finding the total area of the paper would be A = l x w, where l=length of the paper and w=width.
A = 48 x 32 = 1536cm²
Since Stitu was able to get 6 equal pieces, then we can take the total area and divede by 6:

Since 256cm² represents the area of each square, we can take the square root of this number to find the length of just one square since the formula for the area of a square is A=s², where s=the length of one side:
s² = 256 so √s² = √256 or s = 16cm
Answer:
DE=6.3
Step-by-step explanation:
triangles are similar so, its sides and angles are comgruent.
side BC=side DE
side BC=6.3
side DE=6.3
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Answer:

Step-by-step explanation:
By using comparing the left hand side of the two given equations we have:

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