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Mila [183]
3 years ago
7

Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me

I don’t know how to write this
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

x + 2y = -1

Step-by-step explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5))      *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1

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A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the
FinnZ [79.3K]

How fast the distance between them decrease is 16mph

<h3>How to calculate the speed of an object?</h3>

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

Learn more on speed here: brainly.com/question/4931057

4 0
2 years ago
A regular square pyramid has base edges of length 16 and its lateral faces are inclined 30­° to the base of the pyramid. What is
Helga [31]

Answer:

1) h=\frac{8\sqrt{3}}{3}\ units

2) V=\frac{2,048\sqrt{3}}{9}\ units^3

Step-by-step explanation:

Part 1) Find the height of the pyramid

we know that

tan(30^o)=\frac{h}{(b/2)}

where

h is the height of the pyramid

b is the length side of the square base

we have

tan(30^o)=\frac{\sqrt{3}}{3}

b=16\ units

substitute

\frac{\sqrt{3}}{3}=\frac{h}{(16/2)}

\frac{\sqrt{3}}{3}=\frac{h}{8}

h=\frac{8\sqrt{3}}{3}\ units

Part 2) Find the volume of the pyramid

we know that

The volume of the pyramid is equal to

V=\frac{1}{3} Bh

where

B is the area of the square base

h is the height of the pyramid

we have

B=(16^2)=256\ units^2

h=\frac{8\sqrt{3}}{3}\ units

substitute

V=\frac{1}{3} (256)(\frac{8\sqrt{3}}{3})

V=\frac{2,048\sqrt{3}}{9}\ units^3

8 0
3 years ago
May I please receive help?
goblinko [34]

Answer:

4.8 feet

Step-by-step explanation:

a² + b² = c²

a² + 11² = 12²

a² + 121 = 144

a² = 23

a = \sqrt{23}

a, or the height of the kite ≈ 4.8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
Read 2 more answers
PLEASE ANSWER IN THE SCREENSHOT. I WILL MARK BRAINLYEST
Nimfa-mama [501]
Yes, the table is correct
There would be 60 squares as the ratio of triangles to squares is 3:4
6 0
3 years ago
1/4 DIVIDED BY 1/2 = ? <br> CHECK BY MULTIPLYING
Llana [10]

Answer:

1/2

Step-by-step explanation:

1/4÷1/2

1/4*2/1

2/4

1/2

Points to remember:if u change dividion sign into multiplication sign do it's reciprocal.

8 0
2 years ago
Read 2 more answers
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