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Reil [10]
3 years ago
14

PLS HELP ASAP I WILL GIVE BRANERLIST PLUS 10 POINTS

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

1= 1/9

2=0

3=-9

4=-1

Hope this helps!

Step-by-step explanation:

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murzikaleks [220]
1: Its B
4: Its D

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3 0
3 years ago
Consider the following planes. x + y + z = 6, x + 7y + 7z = 6 (a) Find parametric equations for the line of intersection of the
Lelechka [254]

Answer:

a.x=6,y=-6t,z=6t

b.\theta=29.5^{\circ}

Step-by-step explanation:

We are given that

x+y+z=6

x+7y+7z=6

a.Substitute z=0

x+y=6...(1)

x+7y=6..(2)

Subtract equation (1) from equation (2)

6y=0

y=0

Substitute y=0 in equation(1)

x=6

The point (6,0,0) lie on a line.

r_0=(x_0,y_0,z_0)=(6,0,0)

Let A=

B=

A\times B=\begin{vmatrix}i&j&k\\1&1&1\\1&7&7\end{vmatrix}

A\times B=i(7-7)-j(7-1)+k(7-1)=-6j+6k

Therefore, the vector a'=(a,b,c)=

Line is parallel to vector a' and passing through the point (6,0,0).

The parametric equation is given by

x=x_0+at,y=y_0+bt,z=z_0+ct

Using the formula

The parametric equation is given by

x=6,y=-6t,z=6t

Angle between two plane

a_1x+b_1y+c_1z=d_1

and a_2x+b_2y+c_2z=d_2

cos\theta=\frac{(a_1,b_1,c_1)\cdot (a_2,b_2,c_2)}{\sqrt{a^2_1+b^2_1+c^2_1}\cdot \sqrt{a^2_2+b^2_2+c^2_2}}

Using the formula

cos\theta=\frac{(1,1,1)\cdot(1,7,7)}{\sqrt{1+1+1}\times \sqrt{1+7^2+7^2}}

cos\theta=\frac{1+7+7}{\sqrt 3\times 3\sqrt{11}}

cos\theta=\frac{15}{3\sqrt{33}}}=\frac{5}{\sqrt{33}}

\theta=cos^{-1}(0.87)=29.5^{\circ}

Where \theta in degree.

3 0
3 years ago
At an airport it costs 7 $ to park and 5$ per
OleMash [197]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
Need LETTER A please
8_murik_8 [283]
Another name for x is plane F
8 0
3 years ago
Caroline, Colin & Sarah share some money.
aev [14]

Answer:

Colin gets  \frac{2}{3}

Step-by-step explanation:

One part is excluded in the problem. That part is:

"Caroline gets \frac{1}{9} of the money."

<u>Solution:</u>

If Caroline gets 1/9th, then remaining is:

1-\frac{1}{9}=\frac{8}{9}

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

\frac{\frac{8}{9}}{4}=\frac{2}{9}

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

3*\frac{2}{9}=\frac{6}{9}=\frac{2}{3}

Colin gets  \frac{2}{3}

7 0
3 years ago
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