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2 years ago

Find the slope of the line

Mathematics

2 answers:

morpeh [17]2 years ago

4 0

Slope is 2/5

Step by step you go up 2 and over 5 to reach the next point

r-ruslan [8.4K]2 years ago

4 0

The slope is 2/5. Remember when you’re finding slope it’s rise over run, so you rise ( up and down) 2 & run ( left to right) 5

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Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

alexandr402 [8]

I think it is the third one. If it’s not the third one then it’s the first one.

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3 years ago

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Stells [14]

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2 years ago

Write the equation of a circle for which the endpoints of a diameter are (-2,-2) and (4,-10)

Maurinko [17]

Answer:

Therefore the required Equation of Circle

$x^{2}+y^{2}-2x+12y+12=0$

Step-by-step explanation:

Given:

End point of Diameter be

point A( x₁ , y₁) ≡ ( -2 ,-2 )

point B( x₂ , y₂) ≡ ( 4 , -10 )

To Find:

Equation of a circle =?

Solution:

When end points of the Diameter are A( x₁ , y₁) , B( x₂ , y₂). then the Equation of Circle is given as

$(x-x_{1})(x-x_{2})+(y-y_{1})(y-y_{2})=0$

Substituting the end point are

$(x-(-2))(x-4)+(y-(-2))(y-(-10))=0\\(x+2))(x-4)+(y+2))(y+10))=0\\$

Applying Distributive Property we get

$x^{2} -2x-8+y^{2}+12y+20 =0\\\\x^{2}+y^{2}-2x+12y+12=0$

Therefore the required Equation of Circle

$x^{2}+y^{2}-2x+12y+12=0$

6 0

2 years ago

The triangular base of the given prism has an interior angle with a measure of 80° and an interior angle with a measure of 55°.

Tju [1.3M]

Answer:

A. 45°

Step-by-step explanation:

When we are given two measurements of interior angles we add both of those angles together.

Also know that a triangle equals 180 degrees

So when we write out this expression $80+55+x=180$

$135+x=180\\-135=-135\\x=45$

Hope this helps

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1 year ago

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NARA [144]

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3 years ago