Answer:

Step-by-step explanation:
To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.

To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.
9 (7 + 9)
(9 x 7) + (9 x 9)
= 63 + 81
Answer:
1. 37, 2. 1 2/5
Step-by-step explanation:
For Question 1:
Step 1: Replace the x values
x= 3, y=5
Now you get...
9x + 2y ---> (9 x 3) + (2 x 5)
(Remember, if an x value is beside a number, and it is replaced, that replaced number is to be multiplied with the number the previous x value was.)
Parentheses first, Multiplication second, Addition third (look at PEMDAS below :) )
Step 2: Multiply and Add
(9 x 3) + (2 x 5)
27 + 10
37
For Question 2:
Step 1: Replace the x and y values
m = 1, p = 5
Now your equation should look like this:
m + p ÷ 5 ---> 1 + 2 ÷ 5
Now, which one to do first? Use the PEMDAS strategy
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
You have to do it from top to bottom
Division comes first, which means, you have to divide first, then add:
2 ÷ 5 = 2/5
2/5 + 1 = 1 2/5
Hope this helps :)
-jp524
<span>8.245 m</span>²<span> + (6.807m x elephant's height in meters) + (7.073 x diameter of front elephant foot in meters) </span>
Answer:
Step-by-step explanation:
<u>Sum of internal angles of a regular polygon is:</u>
<u>We have here 5-sided polygon:</u>
- S = 180*(5 - 2) = 180°*3 = 540°
<u>Now sum the given angles measures and solve for x:</u>
- 3x + 1 + 2x + 15 + 3x - 10 + 3x - 8 + 5x - 2 = 540
- 16x - 4 = 540
- 16x = 544
- x = 544/16
- x = 34°
<u>Find the measure of angle R:</u>
- m∠R = 3x - 10 = 3*34 - 10 = 102 - 10 = 92
- m∠R = 92°
Answer:
The area of the base is <u>126 mm²</u>.
Step-by-step explanation:
Given:
A rectangular prism that has a 9mm width and 8mm height and a 14mm length.
Now, to find the area of the base of the rectangular prism.
The dimensions of rectangular prism are:
Length = 14 mm.
Width = 9 mm.
Height = 8 mm.
Now, to get the volume of rectangular prism by putting formula:

<u><em>Thus, the volume of rectangular prism is 1008 mm³.</em></u>
Now, to get the area of the base we put formula:

Dividing both sides by 8 we get:

Therefore, the area of the base is 126 mm².