Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
Answer:
Surface area is the area covering the outside surface of a shape.But volume is all of the area inside a shape.Hope this helps!!
Step-by-step explanation:
30 8
+------------------------------------------------------------+-------------------+
I I I
2 I 2 * 30 I 2 * 8 I
I I I
+------------------------------------------------------------+-------------------+
The entire large rectangle above is 38 units long and 2 units wide.
Its area is length times width, so the area is 2 * 38.
38 is also the same as 30 + 8, so the area can also be written as 2(30 + 8).
The left rectangle is 30 units long and 2 units wide. Its area is 2 * 30.
The right rectangle is 2 units long and 8 units wide. Its area is 2 * 8.
If you add the areas of the small rectangles, you get
2 * 30 + 2 * 8
If you add the two small areas, you get the area of the laerge rectangle, so
2(30 + 8) = 2 * 30 + 2 * 8
which is an example of the distributive property.
29.1 bc the hypotenuse is always the longest side
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>
The age of Sita = (x + 5) years.
And, the age of Gautam = x years.
Now,
5 years ago, the ratio of their ages was 3 : 2
Now by cross multiplying, we get,
3x = 2(x + 5)
3x = 2x + 10
3x - 2x = 10
<h3>x = 10 </h3>
Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.
And, the age of Gautam = x = 10 years.
Now,
The present age of Sita = 15 + 5 = 20 years. (Answer)
And, the present age of Gautam = 10 + 5 = 15 years. (Answer)
