x² - 14x + 46 = 0
subtract 46 from both-side
x² - 14x = -46
Add the square of the half of the co-efficient of x
x² - 14x + (-7)² = -46 + 7²
(x-7)² = -46 + 49
(x-7)² =3
Take the square root of both-side
x-7 = ±√3
x-7= ±1.732
Add 7 to both-side of the equation.
x= 7 ± 1.732
Eithe x= 7 + 1.732 or x= 7 - 1.732
x=8.732 or x=5.268
Therefore x = 8.732 , 5.268
Answer:
the 2
Step-by-step explanation:
Answer:
The histogram shows the heights in meters of trees in a certain section of a park.
How many trees are less than 20 meters tall?
Answer: From the given histogram, we clearly see:
There is 1 tree with height less than 8 meters
There are 1 + 2 = 3 trees with height less than 12 meters
There are 3 + 2 = 5 trees with height less than 16 meters
There are 5 + 4 =9 trees with height less than 20 meters.
Therefore, the correct option is B. 9
Step-by-step explanation:
Answer: D. The area is 50 square meters if the shaded area looks like .
Explanation:
assuming this is a rectangle, the larger region area is 15*5= 75 square meters.
The smaller region’s area would be 10*5= 50 square meters.
• remember that A=lw, where l is length and w is width.
Without an illustration & on the assumption this is a rectangular region, here are the conclusions:
• given these two areas,
If the shaded area looks like , the area is just 50 square meters because the dimensions needed to solve for the area were given.
OR
• If the shaded region looks like subtract the smaller area from the larger one: 75-50= 25 square meters. (However, given that this is not an answer choice, I don’t think the illustration would look like this).
