verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13

Answer:

D

Step-by-step explanation:

Tan graphs are a bit different to sin and cos graphs: they don't have an amplitude.

If you look at a tan graph, it exists between assymptotes and has no maximum or minimum value. In this case, the 2.5 acts similar to a dilation factor and makes the graph skinnier or wider.

You were right about the period: it is just pi, not 2 pi like sin and cos. Again, if you look at the graph, the assymptotes occur every period, which is only pi.

Hope that helped : )

[tex]y = - 2047 \\ x = - 10125[/tex]

Step-by-step explanation:

[tex]y = 2x + 3 \\ x = - 2 - 10123 \\ x = - 10125 \\ y = 2( - 10125) + 3 \\ y = - 20520 + 3 \\ y = - 20247[/tex]

Answer:

2%

Step-by-step explanation:

1900(x)^4= 1900+152

1.019 and is closer to 2%

Answer:

This is biased.

Step-by-step explanation:

A used car lot tends to have cheaper cars, so people who can't afford brand new cars come here to buy used cars.

Answer:

The slope of the line is 5.

The point slope form of the line is y=5x+6.

Step-by-step explanation:

We can find the slope using this formula: [tex]\frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }[/tex]

[tex]\frac{6}{0} -\frac{9}{-3} =[/tex]

[tex]\frac{6}{0} -(-\frac{9}{3} )=[/tex]

[tex]\frac{6}{0} +\frac{9}{3} =[/tex]

[tex]\frac{15}{3} =[/tex]

5

The slope of the line is 5.

To find point slope form, we use the equation y=mx+b where m is the slope and b is the y-intercept.

The y-intercept of this slope is 6 and the slope is 5 so we get, y=5x+6

Answer: x=9

Step-by-step explanation:

The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.

180=40+40+x

180=80+x

x=100

Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°

180-100=∠2

80°=∠2

The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.

80=9x-1

81=9x

x=9

Answer:

35.06 meters

Step-by-step explanation:

This represents a right angled triangle.

The height of the kite above the ground represents the opposite side while the length of the string of the heather of the kite is the hypotenuse.

We need to find the hypotenuse, h.

We can use the sine part of the trigonometric function SOHCAHTOA:

sin(Ф) = opp / hyp

where opp is the side opposite the angle

hyp is the hypotenuse

=> sin(53) = 28 / h

h = 28 / sin(53)

h = 35.06 meters

The length of the string from the heather to the kite is 35.06 meters

Answer:

-1 |4  |-7|6

-6|5  |0 |3

8| -5|2 |-3

1|-2  |7 | -4

Hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Graphed below are all 5 graphs. The one in red is the original, but it cannot be seen because it is entirely concealed by the blue graph, or graph A. Since they are the same graph, they must share all characteristics, including a maximum value. Therefore, the correct answer is choice A. Hope this helps!

Answer:

-3(x - 1)^2+12

Step-by-step explanation:

Have a good day :)

Answer:

it’s astrolabe

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

2/2 is 1, and if the shaded part is 2/2, everything would be shaded.

Answer:

A, B, C, D

Step-by-step explanation:

2/2 is equivilant to 1. This means that to be equvilant to 2/2 the entire diagram would have to be shaded in.

Hope this helps! (Please consider giving brainliest)

Answer:

B, i'm not quite sure though i hope this helped

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

I just took the test

Answer:

5x² + 10

Step-by-step explanation:

5(x² + 2)

= 5x² + 10

Answer:

c = 68

Step-by-step explanation:

Use pythagorean theorem, which states that [tex]a^{2} +b^{2} =c^{2}[/tex].

In this diagram, we are given the values of a and b.

a = 32      b = 60

Simply put these into the equation.

(32)^2 + (60)^2 = c^2

1024 + 3600 = c^2

4624 = c^2

Find the square root of both sides to solve for c.

[tex]\sqrt{4624}[/tex] = c

c = 68

Answer:

-80cm/sec

Step-by-step explanation:

It is given that Joe was being exposed to an electro magnet shrinking machine.

Because of this his height started decreasing.

The decrease was at a constant rate per second is given.

In 1.5 seconds, the height decreased by 120 cm.

Since given as constant decrease per second we find that this is direct variation of height over second.

variation per second =

Change in each second would be with negative sign indicating decrease

Answer: -80cm

Step-by-step explanation: khan academy

Answer:

36 gallons

Step-by-step explanation:

y = 4/5x

Let x = 45 minutes

y = 4/5 (45)

y = 36 gallons

Answer:

B. 36

Step-by-step explanation:

Let x = 45

y = 4/5 * (45)

= 4 * 9

= 36

Hope this helps!

Answer:

There were 12 people at the party

Answer:

Step-by-step explanation:

Other answers have already shown that there are  n=12  people at the party, either using combinatorial choose notation

(n2)=n!2!(n−2)!=66  

or by counting handshakes person by person, noting that each successive person has one fewer unique handshake than the prior (as the previously counted people are disregarded), and then using the sum-of-consecutive-integers formula to get

(n−1)+(n−2)+...+2+1=∑n−1k=1k=(n−1)n2=66  

and solving for n .

Here I will provide another method of arriving at n(n−1)2=66.

Instead of keeping track of unique handshakes from the start, note that each person shakes hands with  n−1  other people. As there are n  people at the party, this gives us n(n−1)  handshakes. However, notice that we counted each handshake twice; for example, if Alice and Bob shook hands, we counted that once for Alice, and then again for Bob. To account for the double-counting, we can divide by  2, which gives us the previously mentioned formula of n(n−1)2.

As a side note, if we did not previously know the sum formula, we could use this as a combinatorial proof to show that it works. Also, if we account for repeated counting by dividing by k! , the number of permutations of k  objects, a similar method can be used to derive the chosen formula  (nk)=n!k!(n−k)!.

Answer:

Angles AXY and YXB are complementary angles because they add up to 90 degrees, which can be inferred by looking at angle BXC.

Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

The path of a point in a plane moving around a central point while continuously receding from or approaching it.

Given is a spiral motion.

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

Therefore, the examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

To solve more questions on spiral motion, visit the link below -

https://brainly.com/question/11020427

#SPJ2

Answer:

a) 21, 24, 29

b) 5 terms in the sequence are less than 50

Step-by-step explanation:

[tex]t_n = n^2+20\\t_1 = 1^2+20 = 1+20= 21\\t_2 = 2^2+20 = 4+20= 24\\t_3 = 3^2+20 = 9+20= 29\\\\\\t_5 = 5^2+20 = 25+20= 45\\\\\\t_6 = 6^2+20 = 36+20= 56\\[/tex]

Since, 5th term is less than 50 and 6th term exceeds 50, therefore 5 terms in the sequence are less than 50.

Answer:

h(x) = 3x - 6

Step-by-step explanation:

To find the inverse of a function, you have to switch the x- and y-values.

y = 1/3x + 2

x = 1/3y + 2

(x) - 2 = (1/3y + 2) - 2

x - 2 = 1/3y

(x - 2)(3) = (1/3y)(3)

3x - 6 = y

y = 3x - 6

Answer:

The endpoints of the segment are (7,2) and (10,4).

Step-by-step explanation:

Since it is being translated to the right, you add 3 to both x values.

Answer:

DDDD

Step-by-step explanation:

got it right on edge <3

Answer:

[tex] \boxed{c = -17} [/tex]

Step-by-step explanation:

[tex] = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17[/tex]

Answer:

c = -17

Step-by-step explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

Answer:

We can see from the table that 1 km is exactly half way between 2 and 3 laps. So it will take 2.5 laps to run 1 km. So it takes Angel 5 minutes to run 1 km.

Step-by-step explanation:

Answer:

mean and range

Step-by-step explanation:

Answer:

The new area is 20.75 square

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-4d is greater or equal to -12

d is less  than  or equal to 3

Answer:

c

Step-by-step explanation:

c is the answer

Step-by-step explanation:

FÓRMULA:

[tex]144 m^{2}[/tex] = b(8 m)

SE DESPEJA

b = [tex]144 m^{2}[/tex]/8 m = 18 m

Answer:

El soluccion es 20m.

Step-by-step explanation:

Para encontrar la base major necesitas saber el area, la altura, y el base menor.

Puedes usar la formula para la area de un trapecio: [tex]A=\frac{a+b}{2} *h[/tex]

Pero se puede cambiar por lo que es en términos de encontrar la base más grande:

[tex]b=2\frac{A}{h} -a\\A=Area\\h=altura\\a=base-menor\\b=base-major[/tex]

Y si conectas las variables que conoces, siempre podrás encontrar la que no tienes

[tex]b=2\frac{120}{8} -10\\b=20[/tex]