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2 years ago

6

Add the following polynomials, t - 3x2 - 2xy + y2 - 4x2 - xy +6y2 x2+ 6xy- y2

1 answer:

qaws [65]2 years ago

3 0

Well, it is 3 polynomials so let’s break it down first.

(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)

Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.

Ans: (-7x*4 -3x*2 y*2 + 7y*4)

Now let’s add it with the last one.

The answer is: -6x*6 +3x*3 y*3 -6y*6

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Write the following statements in equation form: If the sum of a number and its two fifth is 70

iren [92.7K]

Answer:

$x + \frac{2}{5} \times x = 70 \\ x + \frac{2}{5} x = 70$

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2 years ago

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Choose the equation below whose axis of symmetry is x = 0. (1 point) y = x2 + 2x y = x2 − 16x + 58 y = x2 + 2 y = x2 − 4x + 2

anygoal [31]

The equation y = x^2 has axis of symmetry of x = 0

The answer to the question is y = x^2 + 2 which is y = x^2 moved vertically up to 2 units

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2 years ago

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Given the length of three sides of a triangle, which is a right triangle?

RSB [31]

The aides of a right triangle will always satisfy the Pythagorean relationship ...

   a² + b²= c²

We can take each of these and try it out:

(1) ... 10² + 24² = 100 + 576 = 676
   √676 = <em>26 Yes</em>.

(2) ... 12² + 18² = 144 + 324 = 468
   √468 = 21.6, not 20. <em>No.</em>

(3) ... 15² + 26² = 225 + 676 = 901
   √901 = 30.017 Awfully close. As an engineer, I'll buy this one. <em>Yes.</em>

(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
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2 years ago

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If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter d

zhuklara [117]

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

$S = d^2\pi$

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 9 cm2/min

This means that $\frac{dS}{dt} = -9$

At which the diameter decreases when the diameter is 10 cm?

This is $\frac{dd}{dt}$ when $d = 10$ . So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

$-9 = 2(10)\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{9}{20\pi}$

$\frac{dd}{dt} = -0.143$

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

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2 years ago

The student council sold 300 tickets for a basketball game. An adult ticket costs $3.00 and a student ticket costs $1.00. Ticket

slamgirl [31]

97 Adult tickets were sold,

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2 years ago