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3 years ago

Help please and thank you giving brainliest. Please don’t spam answer just for point :)

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Answer:

x ( $\frac{1}{2}$ b, $\frac{1}{2}$ c )

Step-by-step explanation:

x is the midpoint of PQ and its coordinates are the average of the coordinates of the endpoints P and Q , then

x = ( $\frac{b-0}{2}$ , $\frac{c-0}{2}$ ) = ( $\frac{1}{2}$ b, $\frac{1}{2}$ c )

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

Kisachek [45]

<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

7 0

3 years ago

FCD=x+41, BCF=x+78, BCD=95. Find x

Lorico [155]

You'll set the two expressions equal to 95.
So 2x+119=95
Then 2x=-24
Finally x=-12

5 0

3 years ago

The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edge

OLEGan [10]

Answer:

The answer is below

Step-by-step explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.

7 0

2 years ago

the sum of the measures of two interior angles of a triangle is 593°. Find the measure of the sixth interior angle

soldi70 [24.7K]

The sixth angle would measure 127°

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3 years ago

Simplify 3 square root 900

Dmitry [639]

Answer:

Step-by-step explanation:

The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square.

4 0

3 years ago

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