Answer:
y > 4x + 2
Step-by-step explanation:
Y is above the line so the value has to be greater than the line (or equal to, possibly). So it represents > or ≥
A dotted/dashed line is non-inclusive, so it represents < or >.
Since it is both above the line AND non-inclusive, we would use this sign:
>
and this equation :)
y > 4x + 2
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Answer:
The midpoint between the joining points C and D is (2, -3)
Step-by-step explanation:
How to find a midpoint
- 1: Label the coordinates(x₁,y₁) and (x₂,y₂).
- 2: Input the values into the formula.
- 3: Add the values in the parentheses and divide each result by 2.
- 4: The new values form the new coordinates of the midpoint.
Suppose we have a line segment and want to cut that section into two equal parts. To do so, we need to know the center. We can achieve this by finding the midpoint. You could measure with a ruler or just use a formula involving the coordinates of each endpoint of the segment. The midpoint is simply the average of each coordinate of the section, forming a new coordinate point. We shall illustrate this below.
Midpoint formula
If we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x₃,y₃). It is possible to divide a line segment into any given ratio, not just 1:1.
5/8 cross multiply on the top then multiply the denominator you get 20/32 reduce that it's 5/8
<h3>
Answer: B) angle 4</h3>
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Explanation:
We can think of lines L and M as sort of train tracks. Inside the train tracks we have the interior angles of: 3, 4, 5, 6
Angles 3 and 6 are one pair of alternate interior angles. They are on alternate sides of the transversal line N.
The other pair of alternate interior angles are 4 and 5
Alternate interior angles are only congruent when L and M are parallel.
Answer: radius = 19.99 centimeters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 22/7
From the information given,
Volume = 16328 cubic centimeters
Height = 13 centimeters
Therefore,
16328 = 22/7 × r² × 13
16328 = 40.857r²
Dividing the left hand side and the right hand side of the equation by 40.857, it becomes
r² = 16328/40.857 = 399.6378
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 19.99 centimeters
