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3 years ago

Classify this by degree and by number of terms?

Mathematics

1 answer:

sveta [45]3 years ago

3 0

The answer is quintic binomial.

It is quintic because its highest power is 5. Quartic would mean its highest power is 4.

It is a binomial because the two terms are -4x^5 and -6x^3. Terms are separated by + or - signs.

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3 turtles walking.

Serggg [28]

Answer:

Divide 250 by 9.4 to get 26.6

Step-by-step explanation:

To calculate her unit rate, 1 minute, we must divide the distance travelled over 9.4 minutes by 9.4 to see how far she travelled in 1 minute.

8 0

3 years ago

1. Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the pos

AlexFokin [52]

F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component: 900 + 530.3 - 520 = 1,950.3 N

Total y-component: 530.3 + 390 = 920.3 N

Magnitude of the resultant = √ (x² + y²)

   = √(1950.3² + 920.3²)

   = √4,650,070.09

   =   2,156.4 N .

Angle of the resultant, measured counterclockwise
from the +x axis, is

   tan⁻¹ (y / x)

   = tan⁻¹ (920.3 / 1950.3)

   = tan⁻¹ (0.4719)

   = about 25.3° .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !

4 0

3 years ago

In the right triangle shown, <B=60° and AB=18. How long is AC?

Naily [24]

Answer:

18√3

Step-by-step explanation:

tan Ф = opposite/adjacent

tanФ = AB/AC

tan 60 = AC/AB

Tan 60 =√3 AB=18

√3=AC/18

AC=18√3

6 0

3 years ago

What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?

zheka24 [161]

Answer:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

Step-by-step explanation:

Given

$A = (1,1)$ $B =(2,3)$

$C = (4,3)$ $D = (5,1)$

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

$(x,y)=>(-x,y)$

So:

$A = (1,1)$ $=> A' = (-1,1)$

$B =(2,3)$ $=> B' = (-2,3)$

$C = (4,3)$ $=> C' = (-4,3)$

$D = (5,1)$ $=> D' = (-5,1)$

When a point is translated 2 units down, the rule is:

$(x,y) => (x,y-2)$

So:

$A = (1,1)$ $=> A' = (-1,1)$ $=> A" =(-1,-1)$

$B =(2,3)$ $=> B' = (-2,3)$ $=> B" =(-2,1)$

$C = (4,3)$ $=> C' = (-4,3)$ $=> C" =(-4,1)$

$D = (5,1)$ $=> D' = (-5,1)$ $=> D" =(-5,-1)$

So, the new coordinates are:

$A" =(-1,-1)$ $B" =(-2,1)$

$C" =(-4,1)$ $D" =(-5,-1)$

5 0

3 years ago

CALC BC HELPPP!!!??? 100PTS!!!

lyudmila [28]

the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.

$4x^2+4x+xy=5\implies 8x+4+\stackrel{\textit{product rule}}{\left( 1\cdot y+x\cdot \cfrac{dy}{dx} \right)}=0 \\\\\\ x\cfrac{dy}{dx}=-8x-4-y\implies \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x}$

now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well

$\left. \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x} \right|_{\stackrel{x=5~}{\textit{\tiny y=-23}}}\implies \cfrac{-8(5)-4-(-23)}{5}\implies \cfrac{-21}{5}$

8 0

3 years ago