Your teacher tells you that a line goes through the points (-6, 1/2) and (-4, 3.)
a. Calculate the slope of this line.
b. Do you think the slope will be the same if the order of the points is reversed? Verify by calculating the slope, and explain your result.

Answer:

5/6

I hope this helps.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

There is not enough information given.

The side ED is a midsegment of the triangle ΔABC, therefore, the length of

ED is half the length of AB.

[tex]\displaystyle The \ expression \ that \ represent \ the \ value \ of \ s \ is; \ s = \frac{1}{2} \cdot u[/tex]

Reasons:

The given parameters are;

In ΔABC, point E is the midpoint of AC

The midpoint of BC is the point D

Segment ED = s

Segment CE = p

Segment EA = r

Segment CD = q

Segment DB = t

Segment ED = s

Segment AB = u

Required;

The expression that represents the value of s

Solution:

CE = 0.5 × AC Definition of midpoint

CD = 0.5 × CB Definition of midpoint

Therefore;

Therefore, we have;

[tex]\displaystyle \frac{CE}{AC} = \mathbf{\frac{CD}{CB}} = 0.5[/tex]

Therefore, given that ∠C ≅ ∠C, by reflexive property, we have;

ΔABC is similar to ΔCDE by Side-Angle-Side similarity

Which gives;

[tex]\displaystyle \frac{CE}{AC} = \frac{CD}{CB} = \mathbf{\frac{ED}{AB} } = 0.5 = \frac{1}{2}[/tex]

ED = s and AB = u which gives;

[tex]\displaystyle \frac{ED}{AB} =\frac{s}{u} = 0.5 = \frac{1}{2}[/tex]

[tex]\displaystyle \frac{s}{u} = \frac{1}{2}[/tex]

Which gives;

[tex]\displaystyle s = \mathbf{ \frac{1}{2} \times u}[/tex]

(The above relationship is given by the midsegment theorem)

Therefore;

The expression that represents the value of s is; s = one half u

Learn more about midsegment of a triangle here:

https://brainly.com/question/11759880

Answer:

Depends on WHAT figure

Step-by-step explanation:

squares and circles have diffrent formulas, and so do 3D shapes!!!!!!!!!!!!!!

Answer:

1,2,3,6.

Step-by-step explanation:

6x1, 2x3, 3x2, 6x1. (Sorry I only know the answer to the first question.)

Answer: 6a + 18

Step-by-step explanation:

Subtract the numbers : 6 (5 - 2 + a) = 6 (3 + a)

Rearrange terms : 6 (3 + a) = 6 (a + 3)

Distribute : 6 (a + 3) = 6a + 18

Answer:

y=3x+1

Step-by-step explanation:

the plus 1 is where the line crosses the y axis and they the 3 is how many squares it goes through before goes through a square evenly I guess I don’t know how to explain that

Answer:

B

Step-by-step explanation:

3÷30=.1

.1·250=25

Answer:

The correct representation of the given equation 6x7=42 in words is that 42 is 6 times as many 7.

Step-by-step explanation:

This is because, the product of 6 and 7 is 42. So, we sya 6 time 7 is 42 or 7 times 6 isi 42 means one and the same thing.

Answer:

6x7=42.

Step-by-step explanation:

7 is 6 times as many as 42 or 6 is 7 times as many as 42 or 42 is 6 times as many 7.

Answer: (1) is D because D is a further distance from the rest so it is an outlier (2) Negative because it starts at the top and goes further down (3) No because there are not a lot of dots in one place (4) scatter plots can show and identify other patterns in data and they are important because they show thing that other graphs don't you should care because they show very important information

Step-by-step explanation: (1)outliers are an observation that lies an abnormal distance from other values in a random sample from a population. (2)Positive slopes go up and Negatives slope fall down. (3) clusters are when a lot of dots are in one place. (4)

Answer:

1:on both lines (x and y)

2: positive

3:i beileve so

4:i have no idea

Step-by-step explanation:

Answer:

Yes because 60 times 12 is 720.

Step-by-step explanation:

Answer:

X < -20

Step-by-step explanation:

Answer:

I have made it in above picture hope it helps

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{1}{a^{m}}=a^{-m}[/tex]

[tex]1) \frac{4^{5}}{4^{9}}=4^{5-9}=4^{-4}\\\\2)\frac{1}{5^{3}}=5^{-3}\\\\3)\frac{1}{10^{5}}=10^{-5}\\\\[/tex]

4)  2⁵ ÷ 2¹⁰ = 2⁵ ⁻ ¹⁰ = 2⁻⁵

5)10¹⁰ ÷ 10²⁰ = 10¹⁰⁻²⁰ = 10 ⁻¹⁰

[tex]6) \frac{1}{10^{23}}=10^{-23}\\\\7) \frac{1}{15^{2}}=15^{-2}\\[/tex]

8) 14³ ÷ 14⁵ = 14³ ⁻⁵ = 14⁻²

[tex]9) \frac{203^{3}}{203^{7}}=203^{3-7}=203^{-4}\\[/tex]

10) 5280² ÷5280³ = 5280³ ⁻² = 5280⁻¹

Answer:

Step-by-step explanation:

She cuts 3 equal length strips of the paper, which was originally 8 ft long. This means that all we have to do is 8 divided by 3, which = 8/3. Change this fraction to proper, getting 2 and 2/3. The correct answer, therefore is A.

Answer:

273x

Step-by-step explanation:

-7x(-8²+25)

8²=64

-7x(-64+25)

-64+25=-39

-7x(-39)

-7×-39=273

273x

Answer:

5-yard role of fabric

Step-by-step explanation:

it costs an extra 10 dollars for just 2 more yards

Answer:

x = 0, -1.8

I hope that helps

Answer:

Hi there! Your answer is =4 3/4

Step-by-step explanation:

I hope this helps :]

Alright. First I did 1/4 + 1/6. I got 5 1/2

Then I did 5 1/2 + -3/4. Because it is negitive I had to go down so that is why it is lower. if you need a more detailed explanation ill gladly tell you!

1/4+1/6=?

Find the LCD of 1/4 and 1/6 and rewrite to solve with the equivalent fractions.

CD = 12

3 1 /2+2 1/2=5 1/2

Solution by Formulas

Using the given fractions,

1/4+1/6

Applying the fractions formula for addition,

=(1×6)+(1×4)4×6

=6+4 2/4

=10 2/4

Simplifying 10/24, the answer is

=5 1/2L

if you want the other one tell me!

9514 1404 393

Answer:

  8x +36 = 15

Step-by-step explanation:

The fractions can be made to disappear by multiplying the equation by their least common denominator. That number is 18.

  18(4/9x +2) = 18(5/6)

  8x +36 = 15

__

The solution is x = -21/8.

Answer:

b

Step-by-step explanation:

trust

Answer:

D - 75.40 inches

Step-by-step explanation:

If it is its diameter, then we must do a little calculation, multiplying the diameter by Pi to reach 75.40 inches.

Answer:

8

Step-by-step explanation:

4*2=8

Answer:

8

Step-by-step explanation:

4x2=8

Answer:

3

Step-by-step explanation:

Answer:

the answer is 4 1/2

Step-by-step explanation:

first you have to turn your 2 1/7 into an improper fraction :  2x1+7, and you get 9/7.

then you divide 9/7 by 2/7 or you can also flip the second fraction and multiply : 9/7 divided by 2/7 turns into --- 9/7 x 7/2 so from here you cross simplify, you cant simplify 2 into 9 so no simplifying there but 7 can go into 7 once so you are left with 9/1 and 1/2 then multiply 9x1 and 1x2 and you get 9/2.

from here you turn your improper fraction into a proper fraction by seeing how many times 2 can go into 9 , which is 4 times (4 is the whole numbers) and you are left with 1 (numerator) over 2 (denominator)

Answer:

[tex] \frac{1}{2} [/tex]

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

Step-by-step explanation:

Answer:

A relation is the way in which two or more concepts, objects, or people are connected; a thing's effect on or relevance to another.

Answer: A

Step-by-step explanation:

option A doesn't have any related sides

Answer:

You can buy 7 additional donuts

Step-by-step explanation:

$0.50 times 7 is $3.50 and $7.50 plus $3.50 is $11 dollars so you would be able to get 7 additional donuts

Answer:

You can buy 7 extra donuts

Step-by-step explanation:

7.5+.5x=11

Answer:

B had more water

Step-by-step explanation:

Hope this helps!

Answer:

1

Step-by-step explanation: