Answer:
all are congruent via SAS
Step-by-step explanation:
<h3>Answer:</h3>
Equation of the ellipse = 3x² + 5y² = 32
<h3>Step-by-step explanation:</h3>
<h2>Given:</h2>
- The centre of the ellipse is at the origin and the X axis is the major axis
- It passes through the points (-3, 1) and (2, -2)
<h2>To Find:</h2>
- The equation of the ellipse
<h2>Solution:</h2>
The equation of an ellipse is given by,

Given that the ellipse passes through the point (-3, 1)
Hence,

Cross multiplying we get,
- 9b² + a² = 1 ²× a²b²
- a²b² = 9b² + a²
Multiply by 4 on both sides,
- 4a²b² = 36b² + 4a²------(1)
Also by given the ellipse passes through the point (2, -2)
Substituting this,

Cross multiply,
- 4b² + 4a² = 1 × a²b²
- a²b² = 4b² + 4a²-------(2)
Subtracting equations 2 and 1,
- 3a²b² = 32b²
- 3a² = 32
- a² = 32/3----(3)
Substituting in 2,
- 32/3 × b² = 4b² + 4 × 32/3
- 32/3 b² = 4b² + 128/3
- 32/3 b² = (12b² + 128)/3
- 32b² = 12b² + 128
- 20b² = 128
- b² = 128/20 = 32/5
Substituting the values in the equation for ellipse,


Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
Answer:
$29,005.97
Step-by-step explanation:
Cn = Co * (1 + i)^n
Cn = 104,986.99(1+.05/1)^(1*5)
Cn = 104,986.99(1+.05)^5
Cn = 104,986.99(105)^5
Cn = 104,986.99(1.2763)
Cn = 133,992.96, total money at end
133,992.96-104,986.99= $29,005.97, interest accumulated
Answer:
¿Qué quieres que te responda?
Step-by-step explanation:
El paralelismo cuadrilátero es cuando las líneas paralelas se mantienen separadas a la misma distancia y nunca se cruzan (cruzan). Las líneas verdes marcan los lados de igual (la misma) longitud y las flechas azules marcan los lados que son líneas paralelas. Los cuadriláteros con líneas perpendiculares tienen lados que se encuentran en un ángulo recto (90 °).
Upward motion
Hope that helps