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3 years ago

Use the formula m= v 2 -v 1 x 2 -x 1 to calculate the slope of the line The slope of the line is

Mathematics

1 answer:

Anit [1.1K]3 years ago

6 0

Answer: I actually do not know but i know that the answer is A.

Step-by-step explanation:

I'm smart

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The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap

Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0) - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220, S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

7 0

3 years ago

12.5 of what number is 150

Y_Kistochka [10]

Answer: 1,200

Step-by-step explanation:

1,200 x .125 = 150

4 0

3 years ago

Read 2 more answers

How many times dose 42 go into 1,984

umka2103 [35]

Here is the answer all you have to do is go 1984 divide by 42 47.23809524

4 0

3 years ago

HELPPPPPP this is due tonight!!!!

laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0

2 years ago

Suppose you want to know how fast you traveled from the park to the library. As you moved, your speed varied from second to seco

frutty [35]

Step-by-step explanation:

In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.

If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.

Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours

Now, using formula of speed = distance/time

$v=\dfrac{1\ km}{0.25\ h}\\\\v=4\ km/h$

It means that the average speed of the person is 4 km/h. Hence, the given statement is true.

6 0

2 years ago