Answer:
"Moving slowley" is the correct
Step-by-step explanation:
Answer:
2g + 8
Step-by-step explanation:
2(g+4)
= 2g + 2(4)
= 2g + 8
Just expand it
Answer:
C
Step-by-step explanation:
The expression is x>55 and 55 isn't included
Answer:
and
Step-by-step explanation:
Hello!
First factor out the coefficient of x² from the entire expression.
Standard form of a quadratic:
Vertex form (completing the square):
Perfect Square trinomial:
Given the equation in the brackets:
We want to convert the parentheses into a Perfect Square Trinomial (PST).
To find the missing term to complete the square, we must:
- take the b-value (4)
- divide it by two (4/2 = 2)
- square it (2^2 = 4)
To change -3/2 to 4, we have to add 5 and 1/2.
But we also want to balance our equation, as we don't want to change the value of the equation. Since we are adding 5.5, and it is being multiplied by 2, we want to subtract 2(5.5) or 11.
Convert the parentheses into factored form.
Set the equation to 0 and use the square root property:
The zeroes are and .
Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft