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Lena [83]
3 years ago
7

Which number line represents the solutions to \x – 5) = 1?

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

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PLEASE HELP! Urgent!!!
zaharov [31]

Answer:

\frac{9}{2}\pi +35

Step-by-step explanation:

The area of trapezoid is given by the formula:

A=\frac{1}{2}(b_1+b_2)h

Where

A is the area

b_1 is base 1

b_2 is base 2, and

h is the height

Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.

The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:

A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(6+8)*5\\A=35

Now, area of semicircle is:

A=\frac{\pi r^2}{2}

Where

A is the area

r is the radius

Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:

A=\frac{\pi r^2}{2}\\A=\frac{\pi (3)^2}{2}\\A=\frac{9}{2} \pi

Total area of the figure is \frac{9}{2}\pi +35

4 0
4 years ago
Write a multiplication equation to represent each division equation 50 divided by 10 equals 5
ASHA 777 [7]

Answer: this questions kind of confusing, but my guess is:

10x5=50 Becuase that's the same thing as saying 50/10 =5

Step-by-step explanation:

5 0
3 years ago
At an antique boat show, 90% of the boats are made of a natural, polished wood. 75% of the boats have some chrome accents on the
nadya68 [22]

Answer:

0.933 ; not independent

Step-by-step explanation:

Given :

A - made from natural polished wood

B - made from chrome accent

P(A) = 0.9

P(B) = 0.75

P(AnB) = 0.7

1.) probability of natural wood Giveb that it has chrome accent

P(A|B) = P(AnB) / P(B)

P(A|B) = 0.7 / 0.75

P(A|B) = 0.933

2.)

For an independent event :

P(AnB) = p(A) * p(B)

P(AnB) = 0.9 * 0.75 = 0.675

However, p(AnB) Given here is 0.7, thus the event aren't independent

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3 years ago
What belongs in the box marked with the question mark in the proof?
Bas_tet [7]
4x+1=6x-2
4x+3=6
3=2x
3/2=2x/2, because you have to divide 2 from both sides
X=3/2
6 0
4 years ago
Robert is 10 years older than her brother. In 2 years, Robert will be three times as old as his brother. How old are they now?
valentina_108 [34]
Robert is 13 and his brother is 3 y.o.
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X+2...Brother’s age in 2 years
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6 0
4 years ago
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