Determine the measure of bases a and b and height h of the given trapezoid. Given the coordinates of the points, the distance is calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Base 1: (-2,2) and (1,-2):
d= sqrt ((-2 - 1)² + (2 - -2)²) = 5
Base 2: (2,5) and (11, -7)
d = sqrt ((2 - 11)² + (5 - -7)²) = 15
Height: (-2,2) and (2, 5)
h = sqrt ((-2 -2)² + (2 - 5)²) = 5
The equation for the area of the trapezoid is,
A = (1/2)(base1 + base2)h
Substituting the known values,
A = (1/2)(5 + 15)(5) = 50
ANSWER: 50 square units
Answer:
we choose f(x) = π cos(πx)
Step-by-step explanation:
Given the information:
Let analyse all possible answers;
1/ f(x) = -2 sec(x)
when x= 0 we have: f(0) = -2 sec(0) = -2
= -2 wrong
2. f(x) = 7sin(x/4 - 1/29)
when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong
3. (x) = π cos(πx)
when x= 0 we have: f(0) = πcos(π0)
= cos(0) = π0 = 0
when x= 2 we have: f(2) = πcos(π2)
= πcos(0) = π
True
4. f(x) = 2π cos(x - π/2)
when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0
when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong
So we choose f(x) = π cos(πx)
Answer:
C
Step-by-step explanation:
Given the 2 equations
3x + 4y = 8 → (1)
y - 5x = 2 ← rewrite as
- 5x + y = 2 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
20x - 4y = - 8 → (3)
Add (1) and (3) term by term to eliminate y
23x + 0 = 0
23x = 0 , then
x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (1)
3(0) + 4y = 8
4y = 8 ( divide both sides by 4 )
y = 2
solution is (0, 2 )
That is the lines intersect once at (0, 2 )
Answer:
- A. f(x) = (x - √2)(x + √3)
Step-by-step explanation:
Leading coefficient is 1, multiplicity is 1, roots are √2 and -√3. It means the function is the product of two binomials.
<u>The function with the roots of a and b is:</u>
<u>Substitute and and b:</u>
- f(x) = (x - √2)(x - (-√3)) ⇒
- f(x) = (x - √2)(x + √3)
Correct choice is A
Answer:
Is there a choices?
Step-by-step explanation:
