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Lerok [7]
3 years ago
9

In a plane, if a line is _____ to one of two parallel lines, then it is perpendicular to the other.

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

The answer is perpendicular

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Find an equation of the plane. the plane through the point (−5, 9, 10) and perpendicular to the line x = 1 + t, y = 4t, z = 2 −
PtichkaEL [24]
The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.

Since the plane passes through point (-5,9,10), the required plane is :
&Pi; 1(x-(-5)+4(y-9)-3(z-10)=0
=>
&Pi; x+4y-3z=1

3 0
3 years ago
For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?
mamaluj [8]

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

           (x2, y2) = (4, 87)

Using two point form to calculate slope:

m = \frac{y2-y1}{x2-x1}

m = \frac{87-55}{4-2}

      m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

8 0
3 years ago
Someone help?!.........
koban [17]
Answer: y = -2x + 16

Explanation:

Use point slope form:

(y1 - y) = m(x1 - x)

y1 = 6 and x1 = 5 and m = -2

6 - y = -2(5 - x)
6 - y = -10 + 2x
-y = 2x - 10 - 6
-y = 2x - 16
y = -2x + 16
5 0
3 years ago
Write the equation of the line in slope intercept form that goes through the point (2,3) and has a slope of -1/2.
elena55 [62]

The answer is y =-1/2x + 3

4 0
3 years ago
Please can someone prove this equation
zubka84 [21]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1

Consider the left side

2cos²A - 1 ← replace 1 by sin²A + cos²A

= 2cos²A - ( sin²A + cos²A)

= 2cos²A - sin²A - cos²A

= cos²A - sin²A = right side ⇒ verified



6 0
3 years ago
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