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3 years ago

7

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1 answer:

NemiM [27]3 years ago

6 0

I’m only 70% positive about my answer, but I believe the answer is A) g(x) = |x+4| - 2.

If I’m correct, the numbers on the inside of the absolute marks are an indication of a horizontal shift of the function and you go the opposite direction of the sign. In this case, it’s a shift to the left (looking at the graph, 4) Then the outside number tells you how far you shift vertically (down 2, following the negative sign this time).

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2 years ago

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What is the value of the 2 in the 42,000,000?

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two million.

Step-by-step explanation:

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2 years ago

If you place a 39-foot ladder against the top of a 23-foot building, how many feet will

Alborosie

Answer:

31.5 ft

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 23² = 39²

Subtract 23² from both sides

a² = 39² - 23²

a² = 1521 - 529

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2 years ago

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Find the area of this trapezoid. Area = _______ square units. Round to the nearest whole number.

fredd [130]

Answer:

119 square units

Step-by-step explanation:

To find the area of a trapezoid, use this formula: (a+b)/2 * h

Substitute 24, 10, and 7 for a, b, and h, respectively.

((24 + 10)/2) * 7

<em>Step 1: Add 24 and 10 to get 34.</em>

(34/2) * 7

<em>Step 2: Divide 34 by 2 to get 17.</em>

17 * 7

<em>Step 3: Multiply 17 by 7 to get 119</em>

119

The area of this trapezoid is 119 square units.

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

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2 years ago