Answer:
Step-by-step explanation:
Like your other question, let's break it down systematically
6x + 9y - 9(6x - 3y + 8z)
Use the distributive property
6x + 9y - <u>9(6x - 3y + 8z)</u>
6x + 9y - 54x - 27y + 72z
Match like terms
6x - 54x = -48x
9y - 27y = -18y
72z - 48x - 18y
Answer:
The entire area of the sailboat is 60cm²
Step-by-step explanation:
You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.
In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.
Because the two triangles can be put together to form a single triangle, we don't need to measure them independently. We can simply take the total length of their bases, multiply it by their height, and divide by two. This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.
(2cm + 3cm) × 6cm
= 5cm × 6cm
= 30cm²
The rectangle's area is of course equal to its width times its height, so we can say:
2.5cm × 12cm
= 30cm²
The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²
Answer:
1. Slope-intercept form: 
Standard form: 
2. Slope-intercept form: 
Standard form: 
3. Slope-intercept form: 
Standard form: 
Step-by-step explanation:
Slope intercept form: 
where:
= y-coordinate
= slope
= x-coordinate
= y-intercept
Standard form: 
Slope-intercept form:
Standard form:
Slope-intercept form:
Standard form:
Slope-intercept form:
Standard form:
Answer:
2
Step-by-step explanation:
It makes sense because it goes down one by one in both the input and output values
Answer:
Correct answer is 30,000
Step-by-step explanation:
From multiplication :
6 * 5 = 30
Now moving to:
60 * 500
Number of ending zeros in both values = 3 ; (000)
This 3 0's will be placed at the end of the result of multiplying 6 by 5
Hence,
6 * 5 = 30
60 * 500 = 30+000 = 30,000
Hence, 60 * 500 = 30000
