Given:
The inequality is:
To find:
The graph for the given linear inequality in the coordinate plane.
Solution:
We have,
The related equation for this inequality is:
The table of values is:
x y
0 3
-1 -2
Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.
Check the given inequality for (0,0).
This statement is true. So, the shaded area of the given inequality is towards the origin.
Therefore, the required graph is shown below.
The correct answer is
the flagpole is <span>
33 feet high</span>.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is
33 feet high.
Answer
5.5cm
Step-by-step explanation:
The radius of a circle is the distance from the center of the circle to any point on its circumference.
The easiest way to find the radius is by dividing the diameter in half.
Radius = 1/2 × diameter
Here diameter is given as 11 cm.
Hence Radius = 1/2 × 11 cm.
= 11/2 cm.
= 5.5 cm.
Answer:
y= -1/2x + 2
or y = -0.5x + 2
Step-by-step explanation:
Use the slope formula to get the slope:
(y2-y1)/ (x2-x1)
(2-0)/(0-4)
2/-4
-1/2
Plug in any point in Point-Slope Formula:
y - y1 = m(x-x1)
y- 0 = -1/2 (x -4)
y = -x/2 + 4/2
y= -1/2x + 2
Answer:
ccccccccccc
Step-by-step explanation:
