Answer:
y=-6x+33
Step-by-step explanation:
Perpendicular lines meet the following condition:
m1*m2=-1
From the first line equation, we obtain m1 if we write the given equation in a proper manner. 6y=x-12 becomes y=x/6 -12,
m1=1/6 since is the coefficient of 'x' variable.
Now, to obtain 'm2' we use the condition for perpendicular lines
(1/6)*m2=-1
m2=-6
Thus, our new line have an equation like the following y=mx+b, where m=-6
Now, we need to eval the given point (6,-3) in the equation in from above to obtain the value of 'b'
-3= -6*(6) + b
Leading us to, b=33
Answer:
lateral area = 2320 m²
Step-by-step explanation:
The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.
Half of the square base is 40/2 = 20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.
Using Pythagoras's theorem
c² = a² + b²
c² = 20² + 21²
c² = 400 + 441
c² = 841
square root both sides
c = √841
c = 29 meters
The slant height of the pyramid is 29 meters.
The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.
area of triangle = 1/2 × base × height
base = 40 meters
height = 29 meters
area = 1/2 × 40 × 29
area = 580
area of one triangle = 580 m²
Lateral area = 4(580)
lateral area = 2320 m²
Question
is -3 a solution of
-3x+5=5x-25
Answer:
<h2>
No, the solution is -15/4</h2>
Step-by-step explanation:
-3x + 5 = 5x - 25
-8x = -30
x = - 30 : 8
x = - 15/4
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Hello there.
<span>which ordered pair is a solution of the equation y=-5x 4?
</span>(5,-29)
Step-by-step explanation:
sum of all the angles in a triangle is equal to 180°
82 + 70 + (2x + 4) = 180
152 + 2x + 4 = 180
156 + 2x = 180
2x = 180 - 156
2x = 24
x = 12