<h2>Answer: </h2>
1. <u>Area = b × h</u>
A = 5 × 3
A = 15cm².
2. <u>Area = ½(a + b) × h</u>
A = ½(9 + 15) × 15
A = ½ × 24 × 15
A = 12 × 15
A = 180mm².
3. <u>Area = 2(l × b) + l × b</u>
A = 2(12 × 4) + 6 × 3
A = 2 × 48 + 18
A = 96 + 18
A = 114m².
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
The answer to this question is option C
Answer:
The number is -4.
Step-by-step explanation:
Let the number be n.
Given:
Max adds 7 to a number.
hence it is given as n+7
Multiply's the sum by -4 the result is 3 times the same number.
Hence the equation can be written as;
Now Solving the above equation to find value of n we get;
The value of n is -4.
Now when we add 7 to number -4 we get answer as 3.
And when the sum is multiplied by -4 we get answer -12.
Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.
Hence when the sum is multiplied by -4 it is equal to 3 times of same number.
Hence from above we can say that the number is -4.
Answer:
c
Step-by-step explanation:
