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3 years ago

8

I need help on 4 & 5 pls

1 answer:

Allushta [10]3 years ago

7 0

What do you need help with? it helps us to know the question!

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Write the ordered pair that describes a point 12 units down from and 7 units to the right of the origin.

emmainna [20.7K]

(-7,-12) s it both down and to the right of the origin

8 0

3 years ago

Read 2 more answers

Nick will move a storage bin from its current location to the new location shown on the coordinate plane. Describe how Nick coul

nlexa [21]

Answer:

Move downward by 7 units

Move leftward by 6 units

$(x,y) \to (x -6,y-7)$

Step-by-step explanation:

Given

See attachment for grid

Required

The transformation from the current location to the new location

To do this, we pick two corresponding points on the current location and the new location.

We have:

$A = (3,2)$ -- Current location

$A' = (-6,-5)$ -- New location

First, move A downwards by 7 units.

The rule to this is:

$(x,y) \to (x,y-7)$

So, we have:

$(3,2) \to (3,2-7)$

$(3,2) \to (3,-5)$

Next, move the above points leftward by 6 units.

The rule to this is:

$(x,y) \to (x-6,y)$

So, we have:

$(3,-5) \to (3-6,-5)$

$(3,-5) \to (-3,-5)$

6 0

3 years ago

Rationalize the denominator and simplify.<br> 6<br> 15 - 3

Rzqust [24]

Answer:

$a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5$

5 0

2 years ago

What is the area of the parallelogram

GaryK [48]

Easy:

formula for parallelogram is b times h

so 5 times 14 =

70 sq mm.

3 0

3 years ago

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Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV$

$=\displaystyle\int_0^c\int_0^b\int_0^a(8x+8y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{abc(4a+4b+3c)}$

5 0

3 years ago