A 100-kg rock is on a 20-m cliff. If the rock is pushed off the cliff, how much kinetic energy does the rock have before hitting the ground?

Answer:

y=2

x=3

Step-by-step explanation:

make x - y = 1 into x= y + 1

put that wherever x is in the other equation

so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2

then substitute 2 into the y in the equation x - y = 1 and you get x = 3

METHOD OF ELIMINATION:

Given pair of linear equations are:

x+2y= 7 – – – Eqn(i)

On comparing with a1x+b1y+c1 = 0

x-y = 1 – – – Eqn(ii)

On comparing with a2x+b2y+c2 = 0

a1/a2 = 1/1 = 1

b1/b2 = 2/-1 = -2

c1/c2 = -7/-1 = 7

We have,

a1/a2 ≠ b1/b2 ≠ c1/c2

So, Given pair of linear equations in two variables have a unique solution.

Now,

On Subtracting eqn(ii) from eqn(i) then

x+2y = 7

x-y = 1

(-)

_______

0 +3y = 6

_______

⇛ 3y = 6

⇛ y = 6/3

⇛ y = 2

On Substituting the value of y in (1) then

⇛ x-2 = 1

⇛ x = 1+2

⇛x = 3

Answer: Therefore , the value of x and y with be (3,2) respectively.

Additional comment:

Answer:

12x - 6

Step-by-step explanation:

4 + 15x - 10 -3x

(15x - 3x) + (4-10)

12x - 6

Answer:

AJ. x<20

Lyla. x> or equal to70

Rook. x>or equal to 6

River. x<8

I hope that this helped

Answer:

It is 21.6

hope this helps

Answer:

Ok A and C are both proportional because it goes through the origin.

Step-by-step explanation:

If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.

The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.

Given that,

Equation; [tex]\rm 3x^2 - 8x + 5 = 5x^2[/tex]

We have to determine,

Which statement about the following equation is true?

According to the question,

To determine the true statement about the equation following all the steps given below.

Equation; [tex]\rm 3x^2-8x+5=5x^2[/tex]

Simplify the equation for the roots of the equation,

[tex]\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1[/tex]

The equation has two real roots and x is 1 and 5/2.

Hence, The discriminant is greater than 0, so there are two real roots.

For more details about Discriminate refer to the link given below.

https://brainly.com/question/10706429

Answer:

x=1.5

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex] {5}^{2} + {2}^{2} = 25 + 4 = 29 \\ \\ {6}^{2} + {1}^{2} = 36 + 1 = 37[/tex]

The values are 29 = 5² + 2² and 37 = 6² + 1².

The definition of a square number states that they are numbers that have been multiplied by themselves. In other terms, a natural number is referred to as a square number if it is multiplied by itself.

Decimal squares are fairly simple to calculate, and the process is the same for both whole numbers (integers) and decimals.

Given numbers 29 and 37

to express in form of sum of two square

let = 29 = a² + b²

the perfect square number near 29 is 25

29 = 25 + 4

29 = 5² + 2²

and 37 = a² + b²

the perfect square near 37 is 36

37 = 36 + 1

37 = 6² + 1²

Hence the numbers in sum of two squares are,

29 = 5² + 2² and 37 = 6² + 1²

Learn more about square of number;

https://brainly.com/question/28610159

#SPJ2

because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable

Answer:

V = 729 m³

General Formulas and Concepts:

Pre-Algebra

Evaluation

Order of Operations: BPEMDAS

Geometry

Volume of a Cube Formula: V = s³

Step-by-step explanation:

Step 1: Define

Identify variables.

s = 9 m

Step 2: Find Volume

Answer:

the distance from point D to point C.

B.2 units

Answer:

B:-2

Step-by-step explanation:

just count the box and you will get your answer

Answer:

Step-by-step explanation:

So the Yardley people got a raise! Hurray! They make ALL that they made before and a little bit more.

Let x = original pay

100% of x is what they made before.

25% of x is the amount of raise they got.

100% of x should be written 1x, or just x (convert the % to a decimal)

25% of x should be written .25x

So a math sentence that says their original pay plus their raise is now $35 would be written

1x + .25x = 35

Combine the x terms.

1.25x = 35 Now divide both sides by 1.25 to get the x all by itself.

1.25x/1.25 = 35/1.25

x = 28 Remember what x stood for? x is the original pay. The mechanics used to make $28 per hour.

Answer:

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%

Step-by-step explanation:

If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):

(9 x 10)/2 =90/2 = 45

45÷9=5

By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2. 

There are 9 digits of which 4 are even (2, 4, 6 or 8).

So the probability that the number is divisible by 2 is 4/9.

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.

Answer:

  ab/2 +3c

Step-by-step explanation:

Maybe you want to translate this to an algebraic expression.

__

The product of a and b is written ab.

Half that can be 1/2ab or ab/2. The latter tends to be less ambiguous.

Thrice c is 3c.

So, your expression is ...

  ab/2 +3c

Answer:

thank you pare XD

Step-by-step explanation:

(≧▽≦)(≧▽≦)

Answer: Answer is on first screenshot

Step-by-step explanation:

Answer:

The measure of the missing angle is 25 degrees.

Answer:

300

Step-by-step explanation:

Answer:

Part A. (Uber)$1 + $2 + 1.05x

(taxi)

Part B. (Uber)$15.60 (12mi) $24(20mi) $55.50(50mi)

(taxi)

Part C.

Step-by-step explanation:

Part B. Uber

12 miles: $1 + $2 + 1.05(12)

3+12.60

15.60

20 miles: $1 + $2 + 1.05(20)

3+21

24

50 miles: $1 + $2 + 1.05(50)

3+52.50

55.50

Part B. Taxi

Part C.

Answer: 125 centimeters

1,250 millimeters

Step-by-step explanation:

'centi' means hundred. 100 centimeters go into a meter.

'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.

Answer:

cost

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

Answer:

1st one is 68 and the 2nd one is 25. hope that helps

Answer:

Step-by-step explanation:

1. 50° + 62° = x°

112° = x°

2. x° + 125° = 150°

x° = 150° - 125°

x° = 25°

(An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)