Answer:
1. 4
2. 16
3. 9
Step-by-step explanation:
Completing the square requires a quadratic in
form. Once in this form, calculate
.
1. 
2. 
3. Requires you divide everything by 3 first.


Answer:
Step-by-step explanation:
if you modify the parent function to go <u>up and down</u>
for example parent function is y=|x| to go <u>down</u> 3 you do y=|x|-3
if you modify the parent function to go <u>left and right</u>
for example parent function is y=|x| to go <u>right </u>3 you do y=|x-3|
a.goes down 3, and 2 to the right
y=|x-2|-3
b. 3 down and 1 to the left
y=(x+1)²-3
c. 5 up and 2 to the right
d. 1 up and 5 to the right
Using it's concept, it is found that the relative frequency probability of rolling an even number based on this experiment is
.
A relative frequency is the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
- 50 dices are thrown, hence
. - 22 resulted in an even number, hence

The <u>relative frequency</u> is given by:

A similar problem is given at brainly.com/question/20630951
Answer:
Total area = 237.09 cm²
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Field book of an agricultural land is given in the figure. It is divided into 4 plots. Plot I is a right triangle, plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)
From the figure attached,
Area of the right triangle I = 
Area of ΔADC = 
= 
= 
= 
= 
= 30 cm²
Area of equilateral triangle II = 
Area of equilateral triangle II = 
= 
= 73.0925
≈ 73.09 cm²
Area of rectangle III = Length × width
= CF × CD
= 7 × 5
= 35 cm²
Area of trapezium EFGH = 
Since, GH = GJ + JK + KH
17 = 
12 = 
144 = (81 - x²) + (225 - x²) + 2
144 - 306 = -2x² + 
-81 = -x² + 
(x² - 81)² = (81 - x²)(225 - x²)
x⁴ + 6561 - 162x² = 18225 - 306x² + x⁴
144x² - 11664 = 0
x² = 81
x = 9 cm
Now area of plot IV = 
= 99 cm²
Total Area of the land = 30 + 73.09 + 35 + 99
= 237.09 cm²
The problem is -2a - 5 > 3
we have - 2a>3+5
or - 2a>8 and now we divide by - 2
and a< 8/(-2) or a< -4
That means you have to choose D- the last line