solution is (4, - 7 )
given the equations
y = 2x - 15 → (1)
4x + 3y = - 5 → (2)
substitute y = 2x - 15 into (2)
4x + 3(2x - 15) = - 5
4x + 6x - 45 = - 5
10x - 45 = - 5 ( add 45 to both sides )
10x = 40 ( divide both sides by 10 )
x = 4
substitute x = 4 into (1) for corresponding value of y
y = (2 × 4 ) - 15 = 8 - 15 = - 7
solution is (4, - 7 )
To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:
The diagonal <em>c</em> separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem
a²+b²=c² ← Since this is a square, a=b is a must
a²+a²=c² ← Combine like terms, and plug 26 in for c
2a²= 26² ← 26²=676, then divide 2 on both sides
a²= 676/2
a²=338 ← We can just stop here! Since <em>a </em>is a side of the square, therefore the area of a square = a²
Answer: 338 units²
The answer to this question is 1/6
Answer:
Let us assume the total number of students surveyed = x
Then
Number of students preferring red = x/4
Number of students preferring blue = x/8
Then
Number of students remaining = x - [(x/4) + (x/8)]
=x - [(2x + x)/8)
= x - (3x/8)
= (8x - 3x)/8
= 5x/8
Number of students preferring the color green = (3/5) * (5x/8)
= 3x/8
We also know that the total number of students preferring the color green is 15
So
3x/8 = 15
3x = 15 * 8
x = (15 * 8)/3
= 5 * 8
= 40
So in total 40 students were surveyed. I hope the procedure is clear to you.
Step-by-step explanation:
Your answer is 9 is in the hundred thousands place because it is 9 hundred and sixty eight thousand and six hundred and foutry six.
