Obtuse triangle Pythagorean Theorem
c² > a² + b²
20² > x² + 3x²
400 > 4x²
<u>÷4 ÷4</u>
<u> 100 > x²</u>
10 > x
400 > 4(7.1)²
400 > 4(50.41)
400 > 201.64
The greatest possible value of x is 7.10
Answer:
C
Step-by-step explanation:
We want to determine the vertex of the quadratic equation:
Recall that the vertex is given by the formulas:
In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.
Determine the <em>x-</em>coordinate of the vertex:
To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:
In conclusion, the vertex of the quadratic equation is (1, 2).
Hence, our answer is C.
Answer:
Step-by-step explanation:
<h3>Garden A</h3>
<u>Rectangle with sides</u>
- Width ⇒ 2x - 3 feet
- Length ⇒ 5(2x - 3) = 10x - 15
<u>Perimeter is</u>
- 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>
<u>Triangle with sides</u>
<u>Perimeter is</u>
- 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>
<u>The difference in perimeters is the difference is fencing:</u>
- 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35
Since it is different from 7x - 37 the statement is FALSE
<h3>Statement 4</h3>
Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
<u>So the perimeter is going to be:</u>
This statement is TRUE
Answer:
25
Step-by-step explanation:
2+5=7
25 reversed is 52
52-25=27
