Answer:
A and D.
Step-by-step explanation:
Two integers are opposites if they are each the same distance away from 0, but on opposite sides of the number line. For example, 6 and -6 are opposites.
Given a number line of the real number system, the following are true about opposites.
A) opposites are numbers located on opposite sides of 0 on a line number.
For example: -1 and 1 are opposite in which -1 is located to the left of 0 and 1 is located to the right of zero.
(D)Opposites are the same distance from 0 on a number line.
The distance of opposites from 0 on the number line is the same. This is as a result of the fact that the distance from zero is irrespective of the sign.
|-3|=|3|=3
The correct options are A and D.
Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
16. 8h = p 17. 288 = 18h, 16 = h. She is making $16/h, so if she works 11 hours making that same amount, 11(16) = p, she would make $176. 18. I’m not sure. 19. 24/60 = 0.4 x 100 = 40%. 20. I’m assuming you already solved it? 21. 30 x 0.63 = 18.9 22. 81 x 0.6 = 48.6 31. 40 x 0.55 = 22. Since the item is on sale for 55% this means the price decreased by $22, so 40 - 22 = 18, so Nicole payed $18. 32. 881.95 x 1.65 = $1455.22 33. 48300 x 1.38 = 66654 34. 442 x 1.35 = $596.7 35. 221/130 = 1.7 x 100 = 170 % This is all I’ll do for now, I’ll probably come back to do more if someone hasn’t by then, but I hope this helped. Just comment back on this if you have any further questions about the questions I answered :)
Answer:
- The circles radious increases
Step-by-step explanation:
- The equation of a circle can be written as
, where "r" is the radious, and (a,b) are the coordenates in the axis x and b respectively. - Then, in the first circle the coordenates are (0,7), which means that the circle will be center there, and the radious is 7 (
). - The second circle have different coordenates: (-5,4), which means that the circle has moved left (from 0 to -7 in the x axis) and down (from 7 to 4 in the y axis). Additionally, its radious has increased from 7 (, from 8 (
). - See the attached figure please.
- Then, the <u>correct answers</u> are:
- The circles radious increases (from r=7 to r=8)
- The circles moves left (from x=0 to x=-5)
- The circles moves down (from y=7 to y=4)
Answer:
The integral symbol in the previous definition should look familiar. We have seen similar notation in the chapter on Applications of Derivatives, where we used the indefinite integral symbol (without the a and b above and below) to represent an antiderivative. Although the notation for indefinite integrals may look similar to the notation for a definite integral, they are not the same. A definite integral is a number. An indefinite integral is a family of functions. Later in this chapter we examine how these concepts are related. However, close attention should always be paid to notation so we know whether we’re working with a definite integral or an indefinite integral.
Integral notation goes back to the late seventeenth century and is one of the contributions of Gottfried Wilhelm Leibniz, who is often considered to be the codiscoverer of calculus, along with Isaac Newton. The integration symbol ∫ is an elongated S, suggesting sigma or summation. On a definite integral, above and below the summation symbol are the boundaries of the interval, \left[a,b\right]. The numbers a and b are x-values and are called the limits of integration; specifically, a is the lower limit and b is the upper limit. To clarify, we are using the word limit in two different ways in the context of the definite integral. First, we talk about the limit of a sum as n\to \infty . Second, the boundaries of the region are called the limits of integration.
We call the function f(x) the integrand, and the dx indicates that f(x) is a function with respect to x, called the variable of integration. Note that, like the index in a sum, the variable of integration is a dummy variable, and has no impact on the computation of the integral.
his leads to the following theorem, which we state without proof.
Step-by-step explanation:
