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ladessa [460]
4 years ago
14

Find an equation for the plane containing the point (1, 2, 3) and parallel to the plane x 2y 3z

Mathematics
1 answer:
sergeinik [125]4 years ago
4 0

Answer:

Step-by-step explanation:

Heres the full question and solution:

Find an equation for the plane containing the point (1,2,3) and parallel to the plane x+2y+3z=5.

solution

Any plane parallel to x+2y+3z=5 is  x+2y+3z=d


since the plane is passing through (1,2,3)

we substitute point in equation

1+2\times 2+3\times 3=d\\d=14
\\x+2y+3z=14

equation of the line is x+2y+3z=14

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Given f(x)=2x+3 and g(x)=x^2-5, find the following
dalvyx [7]

a) 13

b) 0

c) 1

d) 4/9

<h3>What is function?</h3>

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)

Given:

f(x)= 2x+3 and g(x)= x²-5.

a) (f+ g)(3)

= f(3)+ g(3)

= 2(3)+3 + (3)²-5

=6+3+9-5

=13

b)  (f-g)(4)

= f(4)- g(4)

= 2(4)+3 - (4)²+5

=8+3-16+5

= 0

c) (fg)(-2)

= f(-2)*g(-2)

=[ 2(-2)+3][(-2)² -5 ]

=(-1)(-1)

= 1

d)  (g/f)(3)

= g(3)/f(3)

= 3²-5/ 2(3)+3

= 4/9

Learn more about this concept here:

brainly.com/question/93497

#SPJ1

7 0
2 years ago
What is the solution set of {x | x &gt; -5} {x | x &lt; 5}?
Yuri [45]

Answer:

<em>The numbers between -5 and 5</em>

Step-by-step explanation:

Intersection of Intervals

Given the intervals A,B,C,etc. The intersection of them all is the set of all values that are common to all the intervals.

We must find

\{x | x > -5\} \bigcap \ \{x | x < 5\}

which is the intersection between the intervals x > -5 and x < 5. The intersection represents all the numbers greater than -5 and less than 5. It can also be said The numbers between -5 and 5 (non inclusive), third option

5 0
3 years ago
Anyone know this please I really need help
MrRissso [65]
Answer: smaller angle = 17°
The angle is a right angle so the total degree of the angle would be 90°

Step-by-step:

Equation:
(4x+1)+(x-1) = 90
5x = 90
X = 18

Smaller angle:
(X-1)
(18-1)
17°
5 0
3 years ago
How many seconds are in 10 1/2 minutes ​
GarryVolchara [31]

Answer:

630 seconds

Step-by-step explanation:

1 minute = 60 seconds

Number of minutes × Number of seconds per minute = Number of seconds in total

60 × 10 ½ = 630 seconds

Hope this helped! ^^

4 0
2 years ago
Solve for t.<br><br>-1(t + 8) = -7.1​
lawyer [7]
T= -0.9 is the answer
8 0
3 years ago
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