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2 years ago

What is the value of x?

Mathematics

1 answer:

Alex777 [14]2 years ago

8 0

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

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Colt1911 [192]

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3 years ago

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

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1 year ago

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anastassius [24]

Answer:

The value of a is 50°.

Step-by-step explanation:

In an isosceles triangle, 2 sides have the same lengths and same angles so we can assume that the other side of the triangle is 65°.

Given that the total angle of a triangle is 180°, so have to subtract it :

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2 years ago

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Mars2501 [29]

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3 years ago

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A drink manufacturer increases the volume of its cans by 25%.They now hold 450ml.How much did they used to hold?

ss7ja [257]

Answer:

562.5ml

Step-by-step explanation:

using percentage multipliers you just have to do:

add 0.25 to 1 because that will make 125%

then multiply it by 450ml

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3 years ago