Step-by-step explanation:
-2(3x+2)>-8x+6
when eq. is divided by 2,
-3x-2>-4x+3
x >5
The solution set of -2(3x+3)>-8x+6 is {x/x>5}.
It is possible to see that the angle DCB is a right angle. It is also seen that sides CD and CB are congruent. So, the measure of angles CDB and CBD is the same. Since the sum of the three angles must be equal to 180°, the angle CDB must be equal to 45°.
∠CDB + ∠CBD + ∠DCB = 180°
∠CDB + ∠CBD + 90° = 180° (Replacing the value of angle DCB)
∠CDB + ∠CBD = 180° - 90° (Subtracting 90° on both sides of the equation)
∠CDB + ∠CBD = 90° (Subtracting)
2*∠CDB = 90° (Since ∠CDB = ∠CBD )
∠CDB = 90°/2 (Dividing by 2 on both sides of the equation)
∠CDB = 45°
N(U) = 1950
39% of them preferred chocolate ice-cream.
Then,
no. Of people who preferred chocolate ice-cream= 39% of 1950
=39/100 *1950
= 760.5
Answer:
y = 3x + 2
Step-by-step explanation:
The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)
where m, the slope = (y2 - y1) / (x2 - x1)
therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3
This implies that eqn (i) can be rewritten as:
y = 3x + b ------------------- eqn (ii)
pickintg the point (0,2) and substituting into eqn (ii)
2 = 3(0) + b
this implies that b = 2
for confirmation with (1,5)
5 = 3(1) + b
b = 5 - 3 = 2
hence m = 3, b = 2
the equation is y = 3x + 2
Answer:
with these characteristics, place the
semi-ellipse on coordinate axes in a convenient position and draw it.
5. What is the equation of the ellipse? How wide will the canal need to be for the
Petroleum ship?
6. Now that you know which of the two alternatives provides the widest channel, consider other
factors. His department is also in charge of verifying the depth of the channel, the
amount of river traffic and other details. For example, if there was a flood in the river and
the water level will rise 10 feet, how would free space be affected? Take a decision
about which project you think would be best as far as your department is concerned and
