Answer:
It's not Right Angled Triangle.
Step-by-step explanation:
By using Pythagoras theorem.
H^2=P^2+B^2
Here p=2,b=3,and h=4.
4^2=3^2+2^2
16=9+4
16 is not equal to 13.
Proved.
Answer:
2.2.1 Area = 12.6 cm²
2.2.2 Area = 12 cm²
Step-by-step explanation:
<u></u>
<u>2.2.1:</u>
The radius of the big circle is half the length of the square = 2.5 cm
The radius of the small circle is half of 3 cm = 1.5 cm
The area of the shaded portion is = Area of big circle - Area of small circle
π × 2.5²-π × 1.5² = 12.6 cm²
<u>2.2.2</u>
To find length BD (the height of the parallelogram) we need to use the Pythagorean theorem:
BD = √(5²-3²) = 4
Area = base x height = 3x4 = 12 cm²
<h3>
Solution (Line 2): <u>(Refer to graph 1)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (1, -4)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = -2; Run = 1
- => Rise/Run = -2/1 = -2
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - (-4) = -2(x - 1) = Equation of line.
- => y + 4 = -2x + 2
- => y = -2x + 2 - 4
- => y = -2x - 2
<h3>
Solution (Line 3): <u>(Refer to graph 2)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (-4, 3)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = -5; Run = 4
- => Rise/Run = -5/4
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - 3 = -5/4{x - (-4)} = Equation of line.
- => y - 3 = -5/4{x + 4}
- => y - 3 = -5x/4 - 5
- => y = -5x/4 - 2
<h3>
Solution (Line 4): <u>(Refer to graph 3)</u></h3>
<u>Note that:</u>
- Given points: (0, -2) and (-3, -5)
- Slope formula: Rise/Run
- Point slope form formula: y - y₁ = m(x - x₁)
To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
<u>Use the slope formula to find the slope.</u>
- Rise/Run = Slope
- => Rise = 3; Run = 3
- => Rise/Run = 3/3 = 1
<u>Use the point slope form formula.</u>
- y - y₁ = m(x - x₁) = Equation of line.
- => y - (-5) = 1{x - (-3)} = Equation of line.
- => y - (-5) = 1{x + 3}
- => y + 5 = x + 3
- => y = x - 2
Hoped this helped!
Answer:
4(x+4)
Step-by-step explanation: