Answer:
b = 7, c = -44
Step-by-step explanation:
If the quadratic equation has the solutions -11 and 4, the two factors are:
Since when we use the zero factor property we get
x+11=0 ⇒ x= -11
x-4=0 ⇒ x=4
Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.
Now we develop the multiplications between parenthesis:
So b is the number that accompanies the x: b = 7
and c is the independent number: c = -44
Area of circle is 314 inches^2
Circumference of circle is 62.8 inches
Step-by-step explanation:
We need to find area and circumference of the circle whose diameter is 20 inches.
Area of circle
The formula used to find area of circle is:
value of π = 3.14
we know radius = diameter/2
So, radius = 20/2 = 2
Putting value of π and radius we get Area:
So, Area of circle is 314 inches^2
Circumference of Circle
The formula used to find circumference of circle is:
value of π = 3.14
diameter= 20
Putting value of π and diameter we get Circumference:
So, circumference of circle is 62.8 inches
Keywords: Area and Circumference of Circle
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Answer:
Step-by-step explanation:
Note that closed dot means that it is included inside. Look at the direction of the arrow, it will give you the knowledge of which way the sign will face.
10) x ≥ -1, or (4)
Note that the point is at -1 (-1), The arrow is also traveling towards the greater side (>). Note that the dot is 'colored in', or closed. If the dot is closed, the number the dot is on is included inside, leading to the sign having an equal sign on the bottom.
11) -4 ≤ x < 2, or (2)
As stated above ≤ means <em>closed dot</em> (or included). x is greater than -4, and so -4 is ≤ x. However, note the dot on the 2. It is not colored in. This means that 2 is not included inside the solution, leading to the usage of <.
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<em>~Rise Above the Ordinary</em>
Answer:
∠ZVW= 45
∠ZWV = 31
x=1
Step-by-step explanation:
Properties of a Parallelogram ( including diagonals )
Diagonals of a parallelogram bisect each other.
The diagonals are cut into two equal parts
Opposite angles are congruent
Given this information we need to find x, ∠ZVW and ∠ ZWV
First lets find x
Like stated previously diagonals cut each other into two equal parts
That being said segment WZ ≅ segment ZY
Knowing this we create an equation
2z-1=1
step 1 add 1 to each side
-1 + 1 cancels out
1 + 1 = 2
now we have 2x = 2
step 2 divide each side by 2
2x/2=x
2/2=1
we're left with x = 1
Now lets find ∠ZVW
∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )
This means that because ∠ZXY = 45 ∠ZVW also = 45
Now lets find ∠ZWV
∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)
So because ∠XYZ = 31 ∠ZWV also = 31
Answer:
Were is y located at?
Step-by-step explanation:
