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3 years ago

what is the slope of the line that passes through the points (10,2) and (19,14) write your answear in simplist form

Mathematics

2 answers:

irakobra [83]3 years ago

4 0

Answer: 1 1/3

Step-by-step explanation: slope is the difference in y values over the difference in the c values

brilliants [131]3 years ago

3 0

Answer:

$m = \frac{14 - 2}{19 - 10} \\ \frac{12}{9} \\ m = \frac{4}{3}$

the slop is equal to 4/3

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?

Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

= (285 mi)j + (132 mi)i

= (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

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8 0

1 year ago

Mr. Gonzazales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each includin

erica [24]

Answer:

He can buy <u>3 bracelets</u>.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be $x.$

Price of each bracelets = 4.50.

Total amount to spend = 42.50.

Number of t-shirts = 29.

Now, to get the number of bracelets we put an equation:

$29+4.50\times x=42.50\\\\29+4.50x=42.50$

<em>Subtracting both sides by 29 we get:</em>

<em>Dividing both sides by 4.50 we get:</em>

$x=3.$

<u>The number of bracelets = 3.</u>

Therefore, he can buy 3 bracelets.

6 0

3 years ago

5. A researcher creates a scatter plot that displays the relationship between the number of years in business, , and the percent

Black_prince [1.1K]

Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.

<h3>How to find the residual.</h3>

From the complete information, the predicted value for the point (3, 0.42) will be:

= (0.091 × 3) + 0.060

= 0.0273 + 0.060

= 0.333

Therefore, the residual will be:

= 0.42 - 0.333 = 0.087

The predicted value for the point (3, 0.3) will be:

y = 0.091x + 0.060.

= (0.091 × 3) + 0.060.

= 0.333

Therefore, the residual will be:

= 0.3 - 0.333 = -0.033

Therefore, the residual for the two points will be 0.087 and -0.333 respectively.

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8 0

2 years ago

Solve the equation |t+8|=5

vodka [1.7K]

We have t+8=5 or t+8=-5

So t1 = -3 and t2 = -13

4 0

3 years ago

If y varies directly as the square of x and Y--54 when x-9, then -- when x-6.<br><br> True or false

mario62 [17]

Answer:

24.012

Step-by-step explanation:

y=kx^2

54=81k

k=54/81

k=0.667

y=kx^2

y=0.667×36

y=24.012

8 0

2 years ago

what is the slope of the line that passes through the points (10,2) and (19,14) write your answear in simplist form​

what is the slope of the line that passes through the points (10,2) and (19,14) write your answear in simplist form