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3 years ago

Find that slope of a line that passes through each pair of points

1 answer:

Pie3 years ago

7 0

Given two points on the line known as (x1,y1) and (x2,y2): slope = y2y1 x2x1 Page 2 2 Example 1 Find the slope of the line that passes through (1,2) and (3,4). Use the slope equation: slope = y2y1 x2x1 Page 3 3 Example 2 Find the slope of the line that passes through (1,2) and (4,1). That's the basic formula but need
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4 0

2 years ago

There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen. How many atoms are there in 600 grams of oxygen? Write your an

tatiyna

Answer:

<u>2.256 x 10 to the power of 25</u>

Step-by-step explanation:

There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen

So, there are x atoms in 600 grams of oxygen

Using the ratio and proportional

So, the number of atoms = 600 * 3.76 x 10 to the power of 22 =

$= 6*10^2 * 3.76 * 10^{22}\\=6*3.76 * 10^2*10^{22}\\=22.56 * 10^{24}\\=2.256 * 10 * 10^{24}\\=2.256 * 10^{25}$

So, the answer in scientific notation as A.BCD x 10 to the power of E

Will be <u>2.256 x 10 to the power of 25</u>

3 0

3 years ago

Write the solution in interval notation {x| 3 less than or equal to x}

klemol [59]

Answer:

Set in Interval Notation is: [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R = {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is: [ 3, ∞)

4 0

3 years ago

Read 2 more answers

What is the area of the trapezoid?

IRINA_888 [86]

Answer:

69.75 square inches

Step-by-step explanation:

Add the top and bottom lengths then divide by 2 before multiplying it with the height

1/2x(3+12.5)=7.75

7.75x9=69.75

4 0

2 years ago

Read 2 more answers

A need help Dilations-He Said, She Said (12/10)

Elodia [21]

Answer:

We conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

Step-by-step explanation:

Checking the location of the vertices of the original triangle ΔDEF

D(-2, 4)
E(2, 4)
F(0, 2)

Checking the location of the dilated vertices of the image triangle ΔD'E'F'

D'(-5, 10)
E'(5, 10)
F'(0, 5)

Notice that if we multiply the vertices of the original triangle ΔDEF by 5/2, we get the correct image vertices of image triangleΔD'E'F'

i.e.

D(-2, 4) → D'(5/2 (-2), 5/2 (4)) → D'(-5, 10)

E(2, 4) → E'(5/2 (2), 5/2(4)) → D'(5, 10)

F(0, 2) → E'(5/2 (0), 5/2(2)) → F'(0, 5)

Thus, we conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

6 0

2 years ago