COMPLETING THE SQUARE (PROCESS):
Do a reverse factoring procedure to develop the following form of equation:
(t + a)^2 = b
where:
t = unknown variable
a = coefficient
b = coefficient
Then take square root of both sides to find value of unknown variable as follows:
t^2 + 10t = 75
(t^2 + 10t + 25) = 75 + 25
(t^2 + 5t + 5t + 25) = 100
(t + 5)(t + 5) = 100
(t + 5)^2 = 100
√(t + 5)^2 = √100
Two solutions exist:
+(t + 5) = 10
AND
-(t + 5) = 10
Thus:
t = 10 - 5 = 5
AND
t = -5 - 10 = -15
Answer:
t = 5
AND
t = -15
Answer:
4
Step-by-step explanation:
replace x with its value to get
8-2y+3y=12 then combine like terms
8+y=12 subtract 8 from both sides
y=4
The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.
<h3>What transformations lead to the image?</h3>
- Translation is when we slide a figure in any direction. The translation of the shape can be by moving the blue leftward or rightward and the then downward.
- Reflection is when we flip a figure over a line. The reflection involves reflect the blue Square over the line; y = x.
- Rotation is when we rotate a figure a certain degree around a point. The rotation is by rotating the blue Square over 180⁰.
Read more on transformations;
brainly.com/question/4289712
Answer:
x = -2.6, x = 2.6
Step-by-step explanation:
The graph crosses the x-axis at approximately 2.6 and -2.6.
Answer:
The truck
Step-by-step explanation:
You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.
