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2 years ago

Fine the sum of -8 and 3

Mathematics

1 answer:

Rashid [163]2 years ago

7 0

Answer:

The sum of -8 and 3 is -5

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Using Synthetic Division Use synthetic division to find the expression for the area of the base of a rectangular prism with heig

SOVA2 [1]

The answer is x2 – 2x – 9 and that is option C

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3 years ago

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What's the best prouduct of these fractions 4/7×8/9×14/15

sladkih [1.3K]

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▹ Answer

448/945

▹ Step-by-Step Explanation

$\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}$

Hope this helps!

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2 years ago

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Renee bought a magazine subscription for a year. She paid $27. Renee wanted to find the price, p, of the subscription each month

kirza4 [7]

The price is 2.25, I found that answer by dividing 27 and 12 for that it would be 12p=27 divide 12 from both sides, p=2.25

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2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

3 years ago

Combine Like Terms :2y+7z-2z+4y+8+y+2

Viktor [21]

Answer:

7y + 5z + 10

Step-by-step explanation:

2y + 7z - 2z + 4y + 8 + y + 2

Like terms are terms that have the same variable part.

2y, 4y, y are like terms (remember that y is the same as 1y when you add)

7z, -2z are like terms

8, 2 are like terms

2y + 7z - 2z + 4y + 8 + y + 2 =

= 2y + 4y + y + 7z - 2z + 8 + 2

= 7y + 5z + 10

4 0

2 years ago

Fine the sum of -8 and 3​

Fine the sum of -8 and 3