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3 years ago

Simplify the radical expression

Mathematics

2 answers:

AnnyKZ [126]3 years ago

6 0

8\sqrt(2) simplify each radical then combine

madreJ [45]3 years ago

5 0

It would be: 5√2 + √18
= 5√2 + √9 * √2
= 5√2 + 3√2
= 8√2

In short, Your Answer would be 8√2

Hope this helps!

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16. Adam uses a microscope to observe insects in science class. The

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3 years ago

Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal

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Answer:

$\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}$

Step-by-step explanation:

Given: Monica wants to measure the dimensions of her rectangular lawn.

If the longer side of the lawn is BC=(x + 3) feet.

If the diagonal length is AC=(x + 4) feet.

Let the shortest side of lawn is AB=y feet

The angle of rectangle is right angle.

Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.

Using Pythagoreous theorem,

$AB^2+BC^2=AC^2$

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3 years ago

PLZ HELP !! Which of the points (s, t) is not one of the vertices of the shaded region of the

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Answer:

A(0,10)

Step-by-step explanation:

Given the 4 inequalities:

s ≥ 12 - 0.5t (1)

s ≥ 10 -t (2)

s ≤ 20-t (3)

s ≥ 0

t ≥ 0

Let analyse all 4 possible answer:

A(0, 10)

Let substitute this point into (1) we have: 10 ≥ 12 -0.5*0 Wrong

We do not choose A

B (0, 20)

Let substitute this point into (1) we have: 20 ≥ 12 -0.5*0 True

Let substitute this point into (2) we have: 20 ≥ 10 - 0 True

Let substitute this point into (3) we have: 20 ≤ 20 - 0 True

We choose B as the vertex

C. (4, 16)

Let substitute this point into (1) we have: 16 ≥ 12 -0.5*4 True

Let substitute this point into (2) we have: 16 ≥ 10 - 4 True

Let substitute this point into (3) we have: 16 ≤ 20 - 4 True

We choose C as the vertex

D. (16,4)

Let substitute this point into (1) we have: 4 ≥ 12 -0.5*16 True

Let substitute this point into (2) we have: 4 ≥ 10 - 16 True

Let substitute this point into (3) we have: 4 ≤ 20 - 16 True

We choose B as the vertex

Hence, the point A(0,10) is not one of the vertices of the shaded region of the set of inequalities.

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3 years ago