Help with the following problem please:

Mathematics

1 answer:

Sati [7]2 years ago

5 0

The perimeter is 2+2+6+6+3+3+3+3+3+3+3+3=40, the perimeter is 40 inches

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Write the inverse of f(x)=x2+4

Over [174]

F(x) = x² + 4
y = x² + 4

First, I reverse the equation to be
x² + 4 = y

Second, we need only x to remain on the left side and we need to move the others to the right side
x² + 4 = y
x² = y - 4
x = √(y - 4)

Last, change into invers function
f⁻¹(x) = √(x - 4)

7 0

3 years ago

What is the length of DE

HACTEHA [7]

Answer:

DE = 20units

Step-by-step explanation:

In Δ ABC,

angle A is congruent to angle B.... (given)

therefore, ΔABC is an isoceles triangle.

therefore, CA = CB..... (side opposite to congruent angles are congruent in an isoceles triangle)

therefore, CB = 4 units

In ΔCDE,

angle D is congruent to angle E.... (given)

therefore, ΔCDE is an isoceles triangle.

therefore, CD = CE

therefore, CD = 8 units

ΔCDE ~ ΔCBA

therefore,

$\frac{cd}{cb} = \frac{ce}{ca} = \frac{de}{ab} \\ therefore \: \frac{8}{4} = \frac{8}{4} = \frac{de}{10 } \\ therefore \\ \frac{2}{1 } = \frac{de}{10 } \\ de \: = 2 \times 10 = 20units$