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3 years ago

Consider the following.

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

6 0

Answer: the slope of the line between the two points is - 5/6

Step-by-step explanation:

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis.

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (- 2, 4) and (4, - 1),

y2 = - 1

y1 = 4

x2 = 4

x1 = - 2

Slope,m = (- 1 - 4)/(4 - - 2) = - 5/6

zhuklara [117]3 years ago

3 0

Answer:

The slope is -5/6

Step-by-step explanation:

To find the slope of a line given two points, we use the formula

m= (y2-y1)/(x2-x1)

= (-1-4)/(4--2)

=-5/(4+2)

=-5/6

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Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w

tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1: Finding the Number of hours is need to type 4160 words :

= $1\frac{20}{60}$ hours

$\\\\=1\frac{1}{3}$ hours

$\\\\=\frac{4}{3}$ hours

So it takes $\frac{4}{3}$ hours to type 4160 word

Step 2 : Finding the Number of hours is needed to type 1 word

= $\frac{4160}{\frac{4}{3}}$

= $4160 \times \frac{3}{4}$

= 3120 words per hour

Step 3 : Finding the Number of hours is needed to type 16000 words

= $\frac{\text{ total number of words}} {\text{ number of words written per hour}}$

Substituting the values

= $\frac{16000}{3120}$

= 5.1282 hours

Step 4 : Finding the cost for recreating the manual.

= number of hours x cost per hour

= 5.1282 x $17.65

= 90.51

5 0

3 years ago

Please help me with this question please

Sergio039 [100]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

JUST ANSWER PLEASE!!! QUICK

jeka57 [31]

Answer:

Options 1 and 3

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given: the solution for the following system is (2,9)

Px + Qy = R ⇒(1)

Tx + Uy = V ⇒(2)

We will check which system of equation has the same solution.

System A) Px + Qy = R

(P+T)x + (Q+U)y = R+V ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

System B) Px + Qy = R

(P+2T)x + (Q+2U)y = R-2V ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

(P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

System C) (T-P)x + (U-Q)y = V-R ⇒(5)

Tx + Uy = V

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

System D) (T-P)x + (Q+U)y = V-R ⇒(6)

Tx + Uy = V

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) OR (T-P) and (Q-U)

So, system D has not the same solution of (2,9)

System E) (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

Tx + Uy = V

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

Options 1 and 3

5 0

2 years ago

A BASKETBALL PLAYER MAKES A BASKET THROUGH A TEN FOOT HIGH BASKET FROM 20 FEET AWAY. IF THE SHOOTER RELEASES THE BALL FROM 8 FEE

mixas84 [53]

Answer:

The vertical velocity of the ball when released = 10.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

Step-by-step explanation:

The given parameters are;

The height of the basket = 10 feet

The horizontal location of the shooter from the basket = 20 feet

The height from which the shooter releases the ball = 8 feet

The horizontal velocity of the ball = 10 ft/s

Therefore, we have;

Time, t = Horizontal distance/(Horizontal velocity)

t = 20/10 = 2 seconds

The vertical velocity is given as follows;

s = u·t - 1/2·g·t²

Where;

u = The vertical velocity

s = The height above the initial height from which the ball is released

s = y - y₀

Where;

y = The final height of the ball in the calculation = The height of the basket = 10 foot

y₀ = The initial height from which the ball is released = 8 feet

∴ s = 10 - 8 = 2 feet

g = The acceleration due to gravity = 9.81 m/s²

Substituting gives;

2 = u × 2 - 1/2 × 9.81× 2²

u = (2 + 1/2 × 9.81× 2²)/2 = 10.81 m/s

The vertical velocity of the ball when released = 10.81 m/s.

The vertical velocity of the ball in the basket is given by the following relation;

v² = u² - 2·g·s

v² = 10.81² - 2×9.81×2 = 77.6161

v = √(77.6161) = 8.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

7 0

2 years ago

There are 12 boys in a math class. The total number of students s depends on the number of girls in the class g. write an equati

Pani-rosa [81]

12 + g = s
12 boys + g girls = s students

5 0

3 years ago