Complete the square
t^2+10t=75
Answers
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
Related Questions
A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. the customer provides the paint. the total charge to paint a customer's house was $950.how many hours did the painter spend painting this house?
What is the solution to the following equation? 5(2x –6) + 20 = 10 (4 points)
What is 149,597,870 in scientific notation
Please help, thank you!
Answers
One
Two
Three
Four
Answers
Answer:
The total number of solutions is one
Step-by-step explanation:
we have
To solve the system of equations equate f(x) and g(x)
The solution of the system of equations is the intersection points both graphs
Using a graphing tool
see the attached figure
The solution of x
There is only one point of intersection both graphs
therefore
The total number of solutions is one
Answer:
the answer is One
Step-by-step explanation:
A solution is where the two lines intersect on the graph, and as you can see, in the picture above, the two lines only intersect once
Answers
Answers
Answer: The values of the variable can only be placed into categories.
Step-by-step explanation:
Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.
A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.
Answers
lets say the base is from x1,y2 to x1,y1 the distance is 6 units
1/2 times 6 times height
from x1,y1 to x3,y3 is 7 units to the right
1/2 times 6 times 7=3 itmes 7=21
area=21 square units or
21 units^2
The area of this triangle with three vertices (x₁, y₁) , (x₂, y₂) and (x₃, y₃) is,
A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]
We have to give that,
The three vertices of the triangle are,
(x₁, y₁) , (x₂, y₂) and (x₃, y₃)
Since a triangle is a three-sided polygon, which has three vertices and three angles it has the sum of 180 degrees.
Hence,
The area of this triangle with three vertices (x₁, y₁) , (x₂, y₂) and (x₃, y₃) is,
A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]
So, the Formula is,
A = 1/2 [[(x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂))]
Learn more about the triangle visit;
#SPJ6
symbols?
Answers
You should only use a closed dot for the symbols ≤ and ≥.
When you should use a closed dot?
There are two types of dots used when graphing inequalities, closed and open.
- We use closed dots when the value where the dot is, is a solution.
- We use open dots when the velue where the dot is, is not a solution.
So, for exampe in:
x > 3.
We would put an open dot at 3, because the value x = 3 is not a solution, but all the values at the right of the 3 are solutions.
In the other hand, for:
x ≥ 3
Now 3 is in fact a solution, so here we should use a closed dot.
Then, answering the question.
"When you graph an inequality, you used a closed dot when you use which symbols?"
The ≤ and ≥ symbols.
If you want to learn more about inequalities, you can read: