Tnemos el sisema de ecuaciones:
Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:
Ahora podemos resolver para y con cualquiera de las dos ecuaciones:
Respuesta: x=-3, y=0
Use photo-math or Gauth-math application can help u this
We have that
x²<span> + 7x + c
</span><span>Group
terms that contain the same variable
</span>(x² + 7x )+ c
<span>Complete
the square. Remember to balance the equation
</span>(x² + 7x+3.5² )+ c-3.5²
Rewrite as perfect squares
(x+3.5)²+ c-3.5²
so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25
the answer isthe value of c must be 12.25
The racer take 4 hours (between 8:00 to 12:00) to race 3/4 of 6 miles
3/4 of 6 miles = 18/4 = 4.5 miles
4 hours ⇒ 4.5 miles
1 hour ⇒ 4.5 ÷ 4 = 1.125 miles
The time taken to complete 6 miles = 6 ÷ 1.125 = 16/3 hours = 5.3 hours
We have measures of all tree sides of the both triangles,
so we can use SSS to check if the triangles are similar.
|ED|/|AB| =5/10=1/2
|DC|/|BC| = 4/8 = 1/2
|EC|/|AC| = 6/12 = 1/2
We see that all tree pairs are in proportion, so these triangles ΔABC and ΔEDC are similar.
We have enough information to prove that ΔABC similar to ΔEDC.
