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2 years ago

Which point lies on the line with point-slope equation y-3=4(x+7)

Mathematics

2 answers:

Arte-miy333 [17]2 years ago

7 0

Point slope equation for point (h,k) and slope m is given by

y-k=m(x-h)

compare given equation with formula

we get h=-7, k=3

so the required point is (-7,3)

andrew-mc [135]2 years ago

3 0

Point slope is y - y1 = m(x - x1).

m is the slope, y1 is the y coordinate, and x1 is the x coordinate.

So, the point that lies on the line in the equation is (-7, 3).

:)))

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Let r3 have the euclidean inner product. let u = (-1, 1, 1) and v = (-7, 6, 15). if ||ku + v||= 7, what is k? give the exact ans

amm1812

Ma $k\mathbf u+\mathbf v=k(-1,1,1)+(-7,6,15)=(-k-7,k+6,k+15)$

Recall that for a vector $\mathbf x\in\mathbb R^n$ , we have $\|\mathbf x\|=\sqrt{\mathbf x\cdot\mathbf x}$ . So we have

$\|k\mathbf u+\mathbf v\|=\sqrt{(k\mathbf u+\mathbf v)(k\mathbf u+\mathbf v)}=7$
$\implies k^2\mathbf u\cdot\mathbf u+2k\mathbf u\cdot\mathbf v+\mathbf v\cdot\mathbf v=49$
$\implies3k^2+56k+261=0$
$\implies k=-9,-\dfrac{29}3$

3 0

2 years ago

Please be quick! I need this as soon as possible!

PolarNik [594]

Answer:

Step-by-step explanation:

40*3=120

120-85=35

5 0

3 years ago

3. About how much of the earth's surface is deserts?

Murrr4er [49]

Answer:

B- One-Quarter

Step-by-step explanation:

8 0

2 years ago

Plz help :( what is 10,000,000(20)^10 !?

Sergio [31]

Answer: 102,400,000,000,000,000,000

Step-by-step explanation:

First do 20^10 = 10,240,000,000,000.

Then, multiply 10,240,000,000,000 * 10,000,000 to get 102,400,000,000,000,000,000.

<em>Hope it helps <3</em>

7 0

3 years ago

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy

DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ $tan(\phi) = \frac{opposite}{hypotenuse}$

⇒ $tan(\phi) = \frac{324}{54}$

⇒ $(\phi) = tan^-^1(\frac{324}{54})$

⇒ $\phi=80.53$

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0

3 years ago