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3 years ago

What number is halfway between 60and 70

Mathematics

2 answers:

GREYUIT [131]3 years ago

7 0

65 is halfway between since 5is always the halfway point between a number

tatuchka [14]3 years ago

5 0

Answer:

Step-by-step explanation:

70 - 60 = 10

10 / 2 = 5

Thus 65

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I have nooooo clue, please help

Aleksandr-060686 [28]

Answer:

case a) $x^{2}=3y$ ----> open up

case b) $x^{2}=-10y$ ----> open down

case c) $y^{2}=-2x$ ----> open left

case d) $y^{2}=6x$ ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

$x=a(y-k)^{2}+h$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

$x^{2}=3y$

$y=(1/3)x^{2}$

$a=(1/3)$

$a>0$

therefore

The parabola open up

case b) we have

$x^{2}=-10y$

$y=-(1/10)x^{2}$

$a=-(1/10)$

$a$

therefore

The parabola open down

case c) we have

$y^{2}=-2x$

$x=-(1/2)y^{2}$

$a=-(1/2)$

$a$

therefore

The parabola open to the left

case d) we have

$y^{2}=6x$

$x=(1/6)y^{2}$

$a=(1/6)$

$a>0$

therefore

The parabola open to the right

3 0

3 years ago

Create the exponential equation based on the scenario below: $2000 is invested in an account at an interest rate of 1.8% compoun

yarga [219]

Answer:

P(t) = 2000 · e^((1.8 / 100) ·t)

Step-by-step explanation:

8 0

3 years ago

5x+7y=31 2x+4y=16 Which of the following systems could be used to solve the given system of equations by the addition method? 10

Pani-rosa [81]

Equation 1: $5x+7y=31$
Equation 2: $2x+4y=16$

We can either use the 'elimination' method or the 'substitution' method to solve this simultaneous equation.

In some cases one method is easier to use than the other. For this one, it would be easier to use the elimination method

We need to eliminate either the 'x' or the 'y' to begin with. Say we want to eliminate the 'x' terms, then the next step is to make the constant the same

Equation 1: the constant of 'x' is 5
Equation 2: the constant of 'x' is 2

To make the two constants the same, think of common multiple. The lowest common multiple for 5 and 2 is 10

Equation 1: Multiply all terms by 2 to achieve 10x
Equation 2: Multiply all terms by 5 to achieve 10x

Equation 1: $10x+14y=62$
Equation 2: $10x+20y=80$

Once the constant of 'x' is the same, then we can start the elimination process. Since our aim is to eliminate, one of the 'x' need to be in negative form. We can either multiply Equation 1 or Equation 2 by (-1)

Equation 1: -10x - 14y = -62
Equation 2: 10x + 20y = 80

Hence the correct answer is: Third option

3 0

4 years ago

Write a real world problem for the equation 11x =385.

bagirrra123 [75]

Real world problem for 11x = 385

Sam brought home 385 packs of string for the party. At the party, Sam invites 11 people, and wants to give each person the same amount of string. How much string does each person get?

7 0

3 years ago

The slope of graph below is shown? A-5/4 , B-5/4 , C-3/4, D-3?

olga nikolaevna [1]

Where’s the graph I don’t see it

7 0

3 years ago