Making a list can help you solve a math problem because it shows you the information you will be using.
Sally is 13 years old. Sally's brother Mark is twice as old as Sally. Sally's older sister Daffy is the sum of Sally and Mark's age. How old is Daffy?
making a list in this question tells you all of the different ages and lists them out in a row.
Answer:
a = -86.
Step-by-step explanation:
By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:
P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0
-128 - 176 - 4a - 40 = 0
-4a = 128 +176 + 40
-4a = 344
a = -86.
<h3><u>Question:</u></h3>
The perimeter of a rectangle is 34 units. Its width W is 6.5 units.
Write an equation to represent the perimeter in terms of the length L, and find the value of L
<h3><u>Answer:</u></h3>
The length of rectangle is 10.5 units
<h3><u>
Solution:</u></h3>
Given that,
Perimeter of rectangle = 34 units
Width of rectangle = 6.5 units
Let "L" be the length of rectangle
<em><u>The perimeter of rectangle is given by formula:</u></em>
Perimeter = 2(length + width)
<em><u>Substituting the values we get,</u></em>
Thus the equation is found
<em><u>Solve for "L"</u></em>
Thus length of rectangle is 10.5 units
Answer: 6/5
Explanation:
Given: 5cm cube
This means each side is 5 cm because a cube has equal sides.
Area of a square is length times width so area of 1 side of a cube:
= 5 x 5
= 25
Surface area is the area of one side of a cube times the number of sides. Now, how many sides does a cube have? 6
= 25 x 6
= 150
Surface area of a 5cm cube = 150
Volume is length times width times height:
= 5 x 5 x 5
= 125
Ratio of surface area to volume:
= 150/125
= 6/5
Step-by-step explanation:
General form of a conic section is:
Ax² + Bxy + Cy² + Dx + Ey + F = 0
If B = 0:
Parabola: Either x² or y² term, but not both
Circle: x² and y² have the same coefficient
Ellipse: x² and y² have different positive coefficients
Hyperbola: x² and y² have different signs
Otherwise, look at the discriminant.
If B² − 4AC < 0, then the conic is an ellipse.
If B² − 4AC = 0, then the conic is a parabola.
If B² − 4AC > 0, then the conic is a hyperbola.
