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2 years ago

I NEED HELP AGAIN T^T

Mathematics

1 answer:

Gala2k [10]2 years ago

7 0

Answer:

adjacent angles

Step-by-step explanation:

they all touch

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Determine the point of intersection of right bisectors in a triangle ∆ with vertices A (-3, 5), B (1, 1) and (−7, −3). Find the

iris [78.8K]

Answer:

Point of intersection (-11/3 , 1/3)

All distances from the vertices are $\frac{10\sqrt{2} }{3}$

Step-by-step explanation:

The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)

We need to find the perpendicular bisector of the triangle first

let's take one side connecting A and B

mid point of A and B = (-1,3)

Slope of the line joining A and B = -1

slope of perpendicular to line joining A and B = 1

equation of line passing through (-1,3) with slope 1

y - 3 = 1(x-(-1))

y -3 = x+1

x-y = -4 ............(1)

similarly

mid point joining B and C = (-3,-1)

slope perpendicular to line joining B and C = -2

Equation of perpendicular bisector of line joining B and C =

y +1 = -2(x +3 )

y+1 = -2x -6

2x+y = -7 ..........(2)

On solving 1 and 2

x= -11/3 , y= 1/3

Distances

From A = $\frac{10\sqrt{2} }{3}$

From B = $\frac{10\sqrt{2} }{3}$

From C = $\frac{10\sqrt{2} }{3}$

7 0

2 years ago

Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).

lutik1710 [3]

Unit vector along the direction v = <3,1,-4> is :

$\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}$

So, unit vector opposing the $\hat{v}$ is :

$\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}$

so, vector of magnitude 3 units in opposite direction from v is :

$\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)$

Hence, this is the required solution.

5 0

3 years ago

1. A catering company charges $95 plus $12.75 per plate of food. If the cost to cater a party was $656, how many people were at

son4ous [18]

Using arithmetic and the information provided, there were 6 persons at the party.

<h3>Number of people at the party</h3>

The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.

Normal charge of a plate of food = $95
Additional charge on each plate of food = $12.75
Total cost of the party = $656
Total cost of food for each person = $95 + $12.75 = $107.75

Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food

= $656/ $107.75 = 6 persons

Learn more about arithmetic: brainly.com/question/2171130

3 0

2 years ago

What is 1/5 equal to

djyliett [7]

1/5 is equal to 0.2, which is also equal to 20%

5 0

3 years ago

Read 2 more answers

Roman numbers*

mezya [45]

Answer:

The sign that go in the expression is - "+ +"

Step-by-step explanation:

Given - XCIX = LV _ XXXIII _ XI

To find - i need to know what signs go where is it "+ +" or "- +" or "+ -" or "- +" ???

Proof -

We know that from the table that,

XCIX = 99

LV = 55

XXXIII = 33

XI = 11

So,

The equation becomes

99 = 55 _ 33 _ 11

Now,

If we put + + then the equation becomes

99 = 55 + 33 + 11

⇒99 = 99

It satisfies.

Now,

If we put - + then the equation becomes

99 = 55 - 33 + 11

⇒99 = 33

It does not satisfies.

Now,

If we put + - then the equation becomes

99 = 55 + 33 - 11

⇒99 = 77

It does not satisfies.

So,

The sign that go in the expression is - "+ +"

8 0

3 years ago