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kap26 [50]
4 years ago
5

Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?

Mathematics
1 answer:
jek_recluse [69]4 years ago
3 0

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5   ⇒ <u>x must be greater than or equal to 4.5</u>

thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5

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Write the fraction 14/3 as the product of a whole number and a unit fraction.
valentina_108 [34]

Answer:

The unit fraction is 1/3 and the whole number is 4 2/3 however its a mixed fraction so I'm not positive about it so you could make just use the 4 as a whole number.

Step-by-step explanation:

The unit fraction is written using a numerator of 1 and keeping the original denominator. So it would be 1/3. 3 goes into 14 4 times so you get the four there. however there is still 2/3 as 3 cannot go into 2. however if you would like to you can convert 2 divided by 3 into a decimal or 0.666666667.

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3 years ago
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Pleasee helppp fastt
Phoenix [80]
Not sure if this is how your teacher wants it, but here is how I would approach it in high school geometry:

To find the area of a rectangle, you need the base and the height.

The radius is 28 mm however the radius only covers half of one circle. Multiply 28 by 2 to get the length of one circle (56) and multiply 56 by 2 to get the length of your base of your rectangle (112).

Now to find the height: the center of the circles creates an equilateral triangle with the side length of 2r or 56 in this case. This means each angle of that triangle is 60 degrees, and when split in half, this creates two triangles both with angles of 30, 60, and 90. The altitude of this triangle is r√3 because of the “special right triangle rule” or 28√3 in this case. This comes to 48.497 mm. To find the remaining length of the height, you can use the radii of the top and bottom circle which add to 56. Add this to the previous number. So...

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Hope that helps!
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4 years ago
Using the line AB, name two line segments.
natka813 [3]

3. AC, AB

Step-by-step explanation:

A line segment consists lf a line with two endpoints(dots). AC is a line segment and so is CB but that isn't an option sl the next best thing is AB because it is also a line segment

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d is the qnswer.

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