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Varvara68 [4.7K]

3 years ago

12

How many ways are there to arrange 7 distinct red and 5 distinct blue balls in a row such that no two blue balls are next?

2 answers:

dybincka [34]3 years ago

7 0

18 different ways you could place them<span />

sergeinik [125]3 years ago

3 0

Answer:

There probably could be 18 ways.

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Which polynomial is a perfect square trinomial?

Levart [38]

Answer:

$\large\boxed{16x^2-24x+9=(4x-3)^2}$

Step-by-step explanation:

$\text{Perfect square:}\ (a-b)^2=a^2-2ab+b^2\\=======================\\\\25x^2-20x-16\to\text{NOT. Because is}\ -16=-4^2\\\\9a^2-30a-25\to\text{NOT. Because is}\ -25=-5^2\\\\25b^2-15b+9=(5b)^2-2(5b)\left(\dfrac{3}{2}\right)+3^2\to\text{NOT. Because is}\ b=\dfrac{3}{2}\ \text{and}\ b^2=3^2\\\\16x^2-24x+9=(4x)^2-2(4x)(3)+3^2=(4x-3)^2\ \boxed{YES\ :)}$

8 0

3 years ago

The equation y= 1/2 x +4 is graphed below.which equation would intersect this line at (4, 6)?

Anton [14]

Answer:

we have the equation y = (1/2)*x + 4.

now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:

f(4) = 6.

if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).

If we want to construct f(x), an easy example can be:

f(x) = y = k*x.

such that:

6 = k*4

k = 6/4 = 3/2.

then the function

f(x) = y= (3/2)*x intersects the equation y = (1/2)*x + 4 in the point (4, 6)

5 0

3 years ago

ABC is to be reflected across line M to create triangle ABC which best describes the location of B

lara31 [8.8K]

Is there an image showing the line?

6 0

4 years ago

Read 2 more answers

Mary earns $3 for every 90 mushrooms she picks. How many mushrooms would she pick to earn $1?

VLD [36.1K]

Answer:

30

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the area of a triangle whose side is 17 meters long

Lunna [17]

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: $a^{2} +b^{2} =c^{2}$

$17^{2} -8.5^{2} = 216.75$

$\sqrt{216.75}$ = 14.72243186

Now, we use another formula to find the area of the triangle: $\frac{Base*Height}{2}$

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = <u>125.1406708</u>

8 0

3 years ago