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3 years ago

Is the equation a direct variation? 2y=5x - 1

Mathematics

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

Step-by-step explanation: To be direct variation the line must pass through the origin(0,0). This equation has a y-intercept at (0,-1/2) so it does not pass through the origin.

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Which of the following correctly uses absolute value to show the distance between −50 and 12?

Softa [21]

Answer:

62 units

Step-by-step explanation:

The absolute value of a number A is the positive distance between 0 and the number A (you can think this distance as the distance measured with a ruler from 0 to the number). For example:

|-2|=2 , |25|=25, |-3|=3, |-25.3|=25.3

Note that the absolte value is always positive.

The distance between two numbers P,Q in the real line is the absolute value of the difference between the two points:

Hence, the distnce between P=-50 and Q=12 is equal to

7 0

3 years ago

What is gcf of 21 42 and 63

monitta

7... if you list the factors of all 3 of this number... you will see 7 is the common factor... because:
7x3=21
7x6=42
7x9= 63

6 0

4 years ago

Read 2 more answers

The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base

Korvikt [17]

Answer:

$9\; \rm m$ .

Step-by-step explanation:

Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with $\rm 12\; m$ . The three labelled lines in this diagram will form a right triangle.

The line marked as $15\; \rm m$ will be the hypotenuse of this right triangle.
The line marked as $12\; \rm m$ will be one of the triangle's legs.
The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.

Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:

$(\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2$ .

In this particular right triangle:

$(\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2$ .

$(\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2$ .

Therefore, the height of this ridge would be $\sqrt{81}\; \rm m = 9\; \rm m$ . (Note the unit.)

4 0

3 years ago

Steve is managing a skate park and has been analyzing the attendance data. Steve has found that the number of visitors increases

SashulF [63]

Answer:

Suppose that the equations are:

The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.

N(T) = a0*r^(T)

Also, the number of people that leaves the park as the temperature increases are:

M(T) = a*T + b

So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:

N(T) - M(T) = total change in the park population as the temperature changes = C(T)

C(T) = a0*r^(T) - a*T - b

5 0

3 years ago

Read 2 more answers

On Monday, Ray had $153.75 in his bank account. On Tuesday, he withdrew $71.00 from his account. After depositing #292.50 on Wed

Natasha_Volkova [10]

Answer:

$375.25

Step-by-step explanation:

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