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SVEN [57.7K]
2 years ago
8

What expression is equivalent to -3z-z

Mathematics
2 answers:
NeX [460]2 years ago
4 0

Answer:

-4z

Step-by-step explanation:

Annette [7]2 years ago
3 0
-4z is an expression equivalent to -3z-z
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3 years ago
Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)
lozanna [386]
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance = \sqrt{(-3-3)^2+(5-2)^2}

Distance = \sqrt{(-6)^2+3^2}

Distance = \sqrt{36+9}

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6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}
8 0
3 years ago
In a study of the effect of handedness on athletic ability, participants were divided into three groups: right-handed, left-hand
inessss [21]

Answer:

Option A) Discrete and quantitative                                                          

Step-by-step explanation:

We are given the following situation in the question:

In a study of the effect of handedness on athletic ability.

Variable 1: Handedness - right-handed, left-handed, and ambidextrous

Variable 2:  Athletic ability measured on a 12-point scale.

Dependent Variable:

  • The dependent variable is the response variable and its value depends on the independent variable.
  • A change in independent variable leads to a change in the dependent variable.

For the given case the athlete ability is the dependent variable that depends on the independent variable of handedness.

Athletic ability is measured on a 12 point scale. thus, it can take numerical values from 0 to 12.

Thus, it is a quantitative variable.

Since theses values are always expressed in whole numbers and not in decimals so they cannot take all the values within an interval.

Thus, it is a discrete variable.

Option A) Discrete and quantitative

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Answer:

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