Answer:
r = 6
Step-by-step explanation:
To get the value of r we will use the pythagoras theorem a shown;
PR² = QR² + PQ²
(4+r)² = 8² + r²
Expand
16+8r+r² = 64 + r²
16 + 8r = 64
8r = 64 - 16
8r = 48
r = 48/8
r = 6
Hence the value of r is 6
Answer:
16
Step-by-step explanation:
The distance is given by
d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)
Since the x values are the same
d = sqrt( ( y2-y1) ^2)
d = sqrt( (( -6 - 10)^2))
d = sqrt((-16) ^2)
d = 16
We can also just find the number of squares between the points since the x value is the same.
10 - -6
10+6
16
Answer:
Step-by-step explanation:
Like terms: 10y, -2y, 3x, and x
These are all like terms since they have a similar variable
Simplifying the expressions:
10y + 3x + 10 + x -2y = [(10y + -2y) + (3x + x)] + 10
= 8y + 4x + 10
Like terms: 3x, 4x, y, and -2y
Same as first explanation, terms have a similar variable
3x - y + 4x + 6 - 2y = (3x + 4x) + (-2y - y) + 6
= -3y + 7x + 6
Hope I helped :)
Answer:
a) 4(t - r) = 4(6 - 2.5) = 4 x 3.5 = 14
b) 4t - r = (4 x 6) - 2.5 = 24 - 2.5 = 21.5
c) 2(3t - 10) = 2(3 x 6 - 10) = 2(18 - 10) = 2 x 8 = 16
d) (t - 2)² = (6 - 2)² = 4² = 4 x 4 = 16
e) cannot decipher the equation
f) 6r + t = 6 x 2.5 + 6 = 15 + 6 = 21
Answer:
The answer is 400 when you round it off to the nearest hundred.
