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VladimirAG [237]

3 years ago

8

Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0. (enter your answers as a comma-se

parated list.)

1 answer:

Soloha48 [4]3 years ago

7 0

<1, 1, 1> × <1, 0, 1> = <1, 0, -1>

The cross product of the normals of the planes gives the direction vector of their line of intersection.

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A line is perpendicular to y = -x + 1

frozen [14]

Answer: The equation of the perpendicular line intersects the point (-5,1) is y=x+6[/tex]

Step-by-step explanation:

step1:-

The standard form of slope - intercept form y=m x+c

Here m is called slope of the given line

C is called the y- intercept of the given line

Given equation of the straight line y=-x+1

comparing the slope - intercept form y=m x+c

here m= -1 and c=1

step2:-

The equation of the perpendicular line is

$y-{[y_{1}$ } =\frac{-1}{m} (x-x_{1} )[/tex]

substitute m = -1 and c =1 values in equation

$y-1 =\frac{-1}{-1} (x-(-5 )$

$y-1 ={1} (x-(-5 )$

$y=1+x+5\\y=x+6$

step3:- The equation of the perpendicular line intersects the point (-5,1) is

y=x+6[/tex]

<u>conclusion</u><u>:</u>-

The equation of the perpendicular line is

y=x+6[/tex]

4 0

3 years ago

HELP!!!!!!!!!!!!!!!!!! What is the perimeter of the figure shown on the coordinate plane?

densk [106]

You can look at those dots, for example, you see (2,8) and (2,2) then look at y and the difference is 6. so if you see it like that, (2,8) and (5,8) is 3, (5,8) and (5,4) would be 4, (5,4) and (8,4) would be 3, (8,4) and (8,2) would be 2, and lastly (2,2) and (8,2) is 6
Now you add all of them up which will be 6+3+4+3+2+6 = 24
so the perimeter of this figure is 24<span />

7 0

3 years ago

What number is equivalent to 3/4 b-2/3 b =-9

Shtirlitz [24]

Hi,

$b = - 9 \\ \frac{3}{4} \times b - \frac{2}{3} \\ 0.75 \times - 9 - 0.67 \\ - 6.75 - 0.67 = - 7.42$

Answer: -7.42

Hope this helps.
r3t40

5 0

3 years ago

Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0

3 years ago

Help solve this matrix question

Anna007 [38]

Answer:

The correct answer is A -6/17

7 0

3 years ago

Read 2 more answers