Answer:
From the information we can conclude that the triangle is a isosceles triangle.
First, we can calculate the hypotenuse by using pythagorean theorem:
√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)
To calculate the area of the triangle, we first need to know the height of it.
Since this is a isosceles triangle, the altitude (which is also the height) will also be the median of that triangle.
Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.
From the reasoning above, we can now calculate the height of the triangle:
8/2 = 4(cm)
The area of the triangle should be:
S = hb/2 = (4 . 6)/2 = 12 (cm²)
Answer:
C
Step-by-step explanation:
200 x 5 = 1,000
100 x 10 = 1,000
C - 5 to 10 days
Answer:
b. 4x^2 + 3x - 6
Step-by-step explanation:
The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.
It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.
a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4
b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point
c. Because (b) matches, we know this one will not.
The appropriate choice is B.
Answer:
Step-by-step explanation:
The coordinates of point P are (-1.4,0.6)
Step-by-step explanation:
We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.
that means each grid has a value of 0.2.
" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "
As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.
According to the given information P lies 7 grid lines to the left of y-axis.
i.e. it has x-value -7×0.2= -1.4
and 3 grid lines above the x-axis i.e. it has y-value:
y-value= 3×0.2=0.6
Hence, the coordinates of Point P are (-1.4,0.6).
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Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
<u>Given the following data;</u>
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining