Answer:
The coordinates of the vertex are (-5, 41)
Step-by-step explanation:
For a quadratic function of the form
Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.
In this case we have the following parabola
And we know that its axis of symmetry is the line 
Then we know that this axis of symmetry passes through the vertex of the parabola.
Therefore, the x coordinate of the vertex is -5.
To find the coordinate in y of the vertex, we substitute x = -5 in the function.
Finally, the vertices are in the point (-5, 41).
30 yards per hour
240 minutes= 4 hours
360 feet= 120 yards
120 yards divided by 4 hours is 30
Answer:
Third 1
Step-by-step explanation:
A function can not have repeating x-values, but CAN have repeating Y-VALUES.
(x,y)
Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.
Answer:
15
Step-by-step explanation:
i already did that today
Answer:
The value of Y is 24 km and distance from A to C to B is AC+Y=18+24=42 km
Step-by-step explanation:
Given that A highway between points A and B has been closed for repairs. An alternative route between there two locations is to travel between A and C and then from C to B. we have to find the value of Y and the total distance from A to C to B. Let AB=Z
In ΔBCD and ΔABD
∠BCD=∠ABD (∵each 90°)
∠D=∠D (∵common)
By AA similarity, ΔBCD~ΔABD
∴ their corresponding sides are proportional
Comparing last two terms, we get
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the roots are X=32, -50
X=-50 not possible as distance can never negative.
Hence, X=32 km
By applying Pythagoras theorem in ΔBCD we get
⇒ 
⇒ 
Hence, the value of Y is 24 km and the distance from A to C to B is AC+Y=18+24=42 km
