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3 years ago

What is the distance between points (3,8) and (-9,-8)

1 answer:

8 0

It is better to graph these points, to easily understand that the distance of the two points form the hypotenuse of the right triangle. We need to use the Pythagorean theorem to solve for the distance of the two points.

a² + b² = c² ; a = x value ; b = y value

1) (3,8) and (-9,-8)
a = 3 - (-9) = 3 + 9 = 12 ⇒ 12² = 144
b = 8 - (-8) = 8 + 8 = 16 ⇒ 16² = 256 ⇒⇒ 144 + 256 = 400 ; c = √400 = 20

2) (2,6) and (5,2)
a = 2 - 5 = 3 ⇒ 3² = 9
b = 6 - 2 = 4 ⇒ 4² = 16 ⇒⇒ 9 + 16 = 25 ; c = √25 = 5

3) (21,16) and (9,11)
a = 21 - 9 = 12 ⇒ 12² = 144
b = 16 - 11 = 5 ⇒ 5² = 25 ⇒⇒ 144 + 25 = 169 ; c = √169 = 13

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Nicole left home and traveled toward the recycling plant. Two hours later Kristin left traveling at 50 km/h in an effort to catc

Sedaia [141]

Answer:

Nicole's average speed is $30\ km/h$ .

Step-by-step explanation:

Given,

Speed of Kristen = $50\ km/h$

Time taken by Kristen to cover the distance = $3\ h$

Solution,

We can find out the distance traveled by Kristen by multiplying speed with time.

$Distance = Speed\times Time$

$Distance =50\ km/h\times 3\ h=150\ km$

The distance traveled by Kristen is equal to distance traveled by Nicole.

As the question said Kristen left 2 hours later and cover the distance in 3 hours.

That means Nicole take 5 hours to cover the distance.

So, For Nicole;

Distance = 150 km

Time = 5 hrs

Here we use the formula of speed.

$Speed = \frac{Distance}{time}$

Now substituting the values, we get;

$Speed = \frac{150\ km}{5\ h}=30\ km/h$

Hence Nicole's average speed is $30\ km/h$ .

4 0

2 years ago

For each menu item at a fast food restaurant, the fat content (in grams) and the

Alexxandr [17]

Answer:

The answer is "Option a".

Step-by-step explanation:

please find the attached file.

In the given question, the positive correlation shows the scatterplot and, by adding six now higher calories, low-fat pasta, is the positive value for the new correlation of the coefficient will be decreasing.

In this question, the points are more close to the line and increasing from left to right, which can be mostly like, that's why the choice "a" is correct.

7 0

3 years ago

Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.

Anarel [89]

JEANNNNNNMNNNNNNNNNNNNNN

4 0

2 years ago

PLEASE HELP!!!

Aliun [14]

Answer:

a. 8.75 M NaOH

b. 0.425 M CuCl₂ or 0.43 M CuCl₂

c. 0.067 M CaCO₃ or 0.07 M CaCO₃

Step-by-step explanation:

Molality is computed using the formula:

$M = \dfrac{Moles\:of\:solute}{Liters\:of\:solution}$

So first thing you need to do is determine how many moles of solute there are and divide it by the solution in liters.

Converting mass to moles, you need to get the mass of each solute per mole. You can use the periodic table to get the atomic mass (which is the grams per mole of each atom) of each of the elements involved. Then add them up and you will have how many grams per mole of each compound.

1. 35.0g of NaOH in 100ml H₂O

Element number of atoms atomic mass TOTAL

Na 1 x 22.99g/mol = 22.99g/mol

O 1 x 16.00g/mol = 16.00g/mol

H 1 x 1.01g/mol = 1.01g/mol

40.00g/mol

This means that the molecular mass of NaOH is 40.00 g/mol

Then we use this to convert 35.0g of NaOH to moles:

$35.0g \:of\:NaOH \times \dfrac{1\:mole\:of\:NaOH}{40.00g\:of\:NaOH} = \dfrac{35.0\:moles\:of\:NaOH}{40.00}=0.875\:moles\:of\:NaOH$

Now that you have the number of moles we divide it by the solution in liters. Before we can do that you have to conver 100ml to L.

$100ml\times\dfrac{1L}{1000ml} = 0.1 L$

Then we divide it:

$\dfrac{0.875\:moles\:of\:NaOH}{0.1L of solution} = 8.75M\: NaOH$

2. 20.0g CuCl₂ in 350ml H₂O

Element number of atoms atomic mass TOTAL

Cu 1 x 63.55g/mol = 63.55g/mol

Cl 2 x 34.45g/mol = 70.90g/mol

134.45g/mol

$20.g\:of\:CuCl_2\times\dfrac{1\:mole\:of\:CuCl_2}{134.45\:g\:of\:CuCl_2}=0.1488\:moles\:of\:CuCl_2$

350ml = 0.350L

$\dfrac{0.1488\:moles\:of\:CuCl_2}{0.350L\:of\:solution}=0.425M\:CuCl_2$

3. 3.35g CaCO₃ in 500ml

Element number of atoms atomic mass TOTAL

Ca 1 x 40.08g/mol = 40.08g/mol

C 1 x 12.01g/mol = 12.01g/mol

O 3 x 16.00g/mol = 48.00g/mol

100.09g/mol

$3.35g\:of\:CaCO_3\times\dfrac{1\:mole\:of\:CaCO_3}{100.09\:g\:of\:CaCO_3}=0.0335\:moles\:of\:CaCO_3$

500ml = 0.5L

$\dfrac{0.0335\:moles\:of\:CaCO_3}{0.5L}=0.067M\:CaCo_3$

4 0

3 years ago

A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component?

Shalnov [3]

Answer:

Option A is the correct answer.

Explanation:

Any vector can be resolved in to two components. Horizontal component and vertical component.

Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.

Horizontal component = F cos θ

Vertical component = F sin θ

Here we have Force , F = 50 pounds

Angle with horizontal = 80°

Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds

≅ 9 lb.

Option A is the correct answer.

6 0

3 years ago