<h2>Graph:</h2>
Option c.
<h2>Explanation:</h2>
In this exercise we have the following inequality:
Step 1. Subtract 9 from both sides:
Step 2. Multiply by -1 to both sides
Step 3. Apply property
So:
So the correct option is C.
Conditional statement is a statement with a hypotesis and a conclusion:
If , then
or mathematically
.
Converse statement of is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Example:
1. Statement: If it is raining, then I'm at home. (true)
2. Converse: If I'm at home, then it is raining. (not necessarily true)
3. Inverse: If it is not raining, then I'm not at home. (not necessarily true)
4. Contrapositive: If I'm not at home, then it is not raining. (true)
Answer:
<h3>The answer is 134.29 m</h3>Step-by-step explanation:
First of all we need to convert 14.0 acres to m²
1.00 acre = 4046.86 m²
14.0 acres = 14 × 4046.86 = 56656.04 m²
Area of a circle = πr²
where
r is the radius
To find the radius substitute the value for the area into the above formula and solve for the radius
That's
Divide both sides by π
We have
Find the square root of both sides
r = 134.29139
r = 134.29 m to 2 decimal places
Hope this helps you
The angle between the vectors t and u is 45°. And the vector t and vector w are orthogonal to each other.
<h3>What is a vector?</h3>The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
The vectors are given below.
t = −5i + 2j, u = −3i + 7j, and v = 8i + 20j
Part A: Then the angle between vectors t and u will be
Then we have
cos θ = [(−5i + 2j)(−3i + 7j)] / [√{(-5²) + 2²} + √{(-3)² + 7²}]
cos θ = 1 / √2
θ = 45°
Part B: c is a scalar
If , then
Let c = 2, then we have
Part C: Use the dot product to determine if t and w are parallel or orthogonal.
More about the vector link is given below.
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