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3 years ago

* TRUE or FALSE: The absolute value of an integer is ALWAYS a positive number.

Mathematics

1 answer:

charle [14.2K]3 years ago

7 0

Answer:

true I guess ok why are asking me

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Caissa can download a maximum of 1000 megabytes (MB) of songs or movies to her smartphone each month. The file size of each movi

Firdavs [7]

Answer:

85M + 4S <u><</u> 1000

Step-by-step explanation:

An inequality represents an expression that can have different values as long as the value is within the range given. In this case, the number of songs and movies that Caissa can download can not exceed 1000 MB. Since each move is 85 MB and each song is 4 MB, then any combination of these two files combined must not be larger than 1000 MB. Using the variable (M) for movies and (S) for songs, we can set up an expression 85M + 4S to represent the number of movies times 85 for each movie and the number of songs times 4 for each song. Since the total can be no greater than 1000, the expression would be less than or equal to (<u><)</u> 1000 MB.

7 0

3 years ago

Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

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3 years ago

Is it possible for the line segments of a triangle to be 6 cm, 7 cm, and 12 cm in length?

Paul [167]

Answer:

Yes because sum of 2 line segment is greater than the third side

Step-by-step explanation:

6 0

3 years ago

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The number of students in a school increased by 25%between last year and this year. Last year there were 250 students in the sch

Ber [7]

I believe that is 275 because percent is just out of one hundred

8 0

3 years ago

Which phrases can be represented by the algebraic expression x + 14? Select three options.

Snezhnost [94]

Answer:

a number plus 14

fourteen more than a number

a number increased by 14

Step-by-step explanation:

The phrases which can be represented by the algebraic expression x + 14 are

Let x = the unknown number

a number plus 14

= x + 14

fourteen more than a number

= x + 14

a number increased by 14

x + 14

4 0

3 years ago

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* TRUE or FALSE: The absolute value of an integer is ALWAYS a positive number.​

* TRUE or FALSE: The absolute value of an integer is ALWAYS a positive number.