Which relationship has a zero slope?

Mathematics

2 answers:

Kay [80]3 years ago

7 0

A Horizontal line means you get a slope of zero

gayaneshka [121]3 years ago

6 0

Answer:

option 1

Step-by-step explanation:

took the test on edge

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Find the equation for the plane through the points Po(3,-2,5), Qo(-3,-1,-5) and Ro(0,-4,4). The equation of the plane is:_______

ratelena [41]

Answer:

21x-24y-15z=36

Step-by-step explanation:

The equation of a plane is given a s

ax+by+cz=d

where a,b,c and d are gotten from the vector product of the vector define by subtracting one of the given points from the other two

Hence we define the vectors as follow

<3,-2,5> - <-3,-1,-5> = <6,-1,10>

also <0,-4,4> - <-3,-1,-5>=<3,-3,9>

Next we need to carry out the cross product of the newly formed vector

<6,-1,10> X <3,-3,9> =<21,-24,-15>

The newly formed vector is in orthogonal to both vector and in direction to the normal vector to the plane.

Since ax+by+cz=d is the normal vector, we can conclude that

a=21, b=-24 c=-15

Hence we have

21x-24y-15z=d

if we plug in the point <-3,-1,-5> to solve for "d" we arrive at

21(-3)-24(-1)-15(-5)=36

Hence the final equation is

21x-24y-15z=36

3 0

3 years ago

The value of the digit in the hundreds place in the number 653841 is 1/10 the value of the digit in the thousands place in which

Brrunno [24]

The complete question in the attached figure

we have that
the value of the digit in the hundreds place in the number 653,841 is---> 800

case A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok

case B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800

case C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800

case D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800

the answer is the option A) 748,917