Step-by-step explanation:
you need to substitute the x in (7x +2y=13) with (x=2y+11) to solve it
Answer:
____________
the answer is B
___________
explanation
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(x^2 - 2x) - 3xy + 6y
Factor out the greatest common factor (GCF) from each group.
x(x - 2) - 3y (x - 2)
Factor the polynomial by factoring out the greatest common factor, x - 2
(x - 2) (x - 3y)
Answer:
8 1/3 inches
Step-by-step explanation:
Length of the ribbon = 2 1/12 inches
Blue ribbon is 4 time as many inches as long as red
Length of the blue ribbon = 4 * 2 1/12
Length of the blue ribbon = 4 * 25/12
Length of the blue ribbon = 100/12
Length of the blue ribbon= 25/3
Length of the blue ribbon = 8 1/3 inches
Hence the blue ribbon is 8 1/3 inches long
Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be 
.
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
<em>Changing into fractions.</em>
<em>By cross multiplication we get:</em>
<em>Dividing both sides by 4.5 we get:</em>
Therefore, the actual distance between the cities is 211.67 cm.
Answer:
Step-by-step explanation:
1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are
4(2 × 2)
9(3 × 3)
16(4 × 4)
25(5 × 5)
36(6 × 6)
2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)
3) square of 25 is 5
4) 4x² + 20x + 25
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 4
b = 20
c = 25
Therefore,
x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4
x = [- 20 ± √(400 - 400)]/8
x = [- 20 ± 0]/8
x = - 20/8
x = - 2.5
