Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
Answer:
y+4 = 9/4(x-3)
Step-by-step explanation:
m=slope and b=y-intercept (probably useful for later on in the school years)
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
Substituting in what we know
y--4 = 9/4(x-3)
y+4 = 9/4(x-3)
Answer:
Perimeter = 15
Step-by-step explanation:
We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.
Thus means that we can write the 3 terms as;
(x - 2), x, (x + 2)
Thus, perimeter is;
P = (x - 2) + x + (x + 2)
P = 3x
If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.
Thus, this side is (x + 2)
Using cosine rule, we have;
(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120
Expanding, we have;
x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)
This reduces to;
4x = x² - 4x + x² - 2x
2x² = 10x
2x = 10
x = 10/2
x = 5
Thus, other sides are;
(x - 2) = 5 - 2 = 3
And (x + 2) = 5 + 2 = 7
So,perimeter is;
P = 3x = 3 × 5 = 15
Answer:
(0,0), (0, 3), (-3, 3), (-3,0)
Step-by-step explanation:
The matrix multiplication is shown in the attachment. The transformed coordinates are ...
(0,0), (0, 3), (-3, 3), (-3,0)
_____
You can count the instances of -3 in the result matrix to choose the correct answer.
It's 3/9. You multiply 1/3 by 3 to get like denominators, which gives you 3/9. Multiply straight across. You get 3/9.
