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MAXImum [283]
2 years ago
13

What is the equation of a line that has a slope of -1/2 and contains the point (8,1)?

Mathematics
1 answer:
Troyanec [42]2 years ago
3 0

(\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-1=-\cfrac{1}{2}x+4\implies y=-\cfrac{1}{2}x+5

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Please help with this
GalinKa [24]
The answer is 20


Reason: so the W is 4 and the L is 6 so you do 4+4=8 then you do 6+6=12 then you add the two together and get 20
7 0
3 years ago
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height
joja [24]

\frac{137+150+144+149+x}{5} =141

x=125

Therefore, the man is shorter than 141 centimeters.

7 0
3 years ago
Analyze the diagram below and answer the question that follows. If 2004-02-01-02-00_files/, what is 2004-02-01-02-00_files/? A.
nadya68 [22]

Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

\frac{WX}{WA} =\frac{2WA}{WA} = 2  (since A is the midpoint of WX)

\frac{WV}{WY} =\frac{2WY}{WY} = 2  (since Y is the midpoint of WV)  

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY} = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

 

Learn more about similar triangle here:

brainly.com/question/25882965

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.  

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

 

5 0
2 years ago
You use pemdas and they both equal to 77. So yes they are equivalent.
spayn [35]

Answer:

yes if u use Pemdas and both sides of the equation have the same answer, they both are equivalent.

Good job!

7 0
3 years ago
Which industries do you predominantly see in each of the regions?
NNADVOKAT [17]

Answer:

to Region? Climate varies from region to region. This variation is driven by the uneven distribution of solar heating, the individual responses of the atmosphere, oceans and land surface, the interactions be- tween these, and the physical characteristics of the regions.

Step-by-step explanation:

hope it helps C:

<em><u>#</u></em><em><u>c</u></em><em><u>a</u></em><em><u>r</u></em><em><u>r</u></em><em><u>y</u></em><em><u>o</u></em><em><u>n</u></em><em><u>l</u></em><em><u>e</u></em><em><u>a</u></em><em><u>r</u></em><em><u>n</u></em><em><u>i</u></em><em><u>n</u></em><em><u>g</u></em>

8 0
3 years ago
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