Answer:
(x-4)²/16 + (y-8)²/25 = 1
Step-by-step explanation:
center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)
a = 13-8 = 5 c = 8-5 = 3
b = √5²-3² = 4
Equation: (x-h)²/b² + (y-k)²/a² = 1
(x-4)²/16 + (y-8)²/25 = 1
Answer:
400 sq. ft.
Step-by-step explanation:
We gotta find the length of a side:
First, we divide 80 by 4, because the perimeter of a square is (4 x side):
80 ft. / 4 = 20 ft.
Second, we doing the normal area of a square equation:
= 400 square ft.
Which leads to out answer of 400 sq. ft.
The complete inequality is -2 < x < 35
<h3>How to determine the range of value of x?</h3>
The figure attached to the question is the given parameter
From the figure, we understand that:
Side length BA and side length BD are equal.
This is represented as:
BA = BD
Because the side length AC is less than the side length CD, then it means that:
The measure of the angle ABC is less than the measure of the angle CBD
This is represented as:
∠ABC < ∠CBD
Where
ABC = x + 2
and
CBD = 37
Substitute ABC = x + 2 and CBD = 37 in the inequality expression ∠ABC < ∠CBD
So, we have:
x + 2 < 37
Subtract 2 from both sides of the inequality
x + 2 - 2 < 37 - 2
Evaluate the differences
x < 35
From the question, we have the following incomplete inequality
-2 < x < [ ]
Complete the inequality as follows:
-2 < x < 35
Hence, the complete inequality is -2 < x < 35
Read more about angles at:
brainly.com/question/24839702
#SPJ1
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
Answer:
-40 feet
Step-by-step explanation:
To answer this problem is really simple
you take -32 and add 5. This gets you -27
The next thing to do add -13 to -27. This gets you -40.
