Answer:
CD = 16.5
Step-by-step explanation:
To find the distance between two points, use this formula: 
point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1
point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3
Substitute the information into the formula

Simplify inside each bracket
Square the numbers
Add inside the root
Enter into calculator
Rounded to the nearest tenth, the first decimal
The distance CD is 16.5.
Answer:
Area of triangle is 25.
Step-by-step explanation:
We have been given an isosceles right triangle
Isosceles triangle is the triangle having two sides equal.
Figure is shown in attachment
By Pythagoras theorem

AD is altitude which divides the triangle into two parts
DC=5 implies BC =10 since D equally divides BC
Let AC=a implies AB=a being Isosceles
On substituting the values in the Pythagoras theorem:




WE can find area of right triangle by considering height AB and AD
Area of triangle ABC is:
(1)

And other method of area of triangle is:
(2)
Equating (1) and (2) we get:



Using area of triangle is: 
Now, the area of triangle ABC=

Shawna got 16 items correct
Step-by-step explanation:
To find the percentage of answers or part of total answers we multiply the fraction with the total number of items.
Given
Total items on test = 20
Correct items fraction = 4/5
Then,

Shawna got 16 items correct
Keywords: Percentage, fractions
Learn more about fractions at:
#LearnwithBrainly
Answer:
A=152
K= -Ln(0.5)/14
Step-by-step explanation:
You can obtain two equations with the given information:
T(14 minutes) = 114◦C
T(28 minutes)=152◦C
Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

Applying the following property of exponentials numbers in (II):

Therefore
can be written as 
Replacing (I) in the previous equation:

Solving for k:
Subtracting 190 both sides, dividing by -76:

Applying the base e logarithm both sides:
Ln(0.5)= -14k
Dividing by -14:
k= -Ln(0.5)/14
Replacing k in (I) and solving for A:

Dividing by 0.5
A=152
Answer:
vertex (5,2)
axis of symmetry: x=5
Step-by-step explanation:
vertex (h,k)
y = a(x - h)² + k
f(x)=(x-5)²+2 a = 1 h = 5 k = 2
vertex (5 , 2)
The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
x = 5