Answer:
-3
Step-by-step explanation:
f(x) = x2 – 4
replace x with -1
f(-1) = (-1)^2 – 4
= -3
Answer:
a. D and E are similar but not congruent.
Step-by-step explanation:
Let's analyse each statement and determine which is true about the 3 given quadrilaterals:
a. "D and E are similar but not congruent." TRUE.
D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.
D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.
b. "E and F are similar and congruent." NOT TRUE.
E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.
c. "D and E are similar and congruent." NOT TRUE.
Since statement (a) is TRUE, statement (c) cannot be true.
D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.
d. "F and D are similar but not congruent." NOT TRUE.
F and D has the same size but the ratio of their corresponding sides are not the same.
Answer:
First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:
x² + 65² = 97²
=> x² = 97² - 65²
=> x² = 5184
=> x = √5184 = 72 (m)
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)
We have: 137 - 97 = 40 (m)
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington
Answer:
Width = 2 feet
Length = 6 feet
Explanation:
Variables:
Perimeter = p
Length = l
Width = w
Equation:
2w + 2l = p
It is given that:
l = 3w
and
p = 16 feet
With this information, we can rewrite the equation (substitute)
2w + 2(3w) = 16
Simplify
2w + 6w = 16
Add
8w = 16
Divide both sides of the equation by 8
Width = 2 feet
Length = 3(w) = 3(2) = 6 feet
Hope this helps :)