Answer:
Slope of the line = 2
Step-by-step explanation:
Slope of a line through two points lying on the line 
and 
is given by,
Slope = 
From the figure attached,
Given line is passing through two points (0, 1) and (1, 3).
Therefore, slope of the line will be,
Slope = 
= 2
Step-by-step explanation:
tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.
Therefore 1.6m / (2m + x) = 1/√3
By cross multiplication, 1.6√3 = 2 + x.
Hence, x ≈ 0.77m.
#1 is the third one down (x+3)^2 + (y-2)^2 = 9
Let's translate each sentence into "Math".
Pineapple = p
Orange = x
is means equal
Pineapple is 7 times as heavy as an orange: p = 7x
Pineapple weighs 870 grams more than orange. p = 870 + x
Substitute p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
divide by 6
x = 145
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
Answer:
Step-by-step explanation:
<u>Factorize both numbers:</u>
- 900 = 2*2*3*3*5*5
- 270 = 2*3*3*3*5
<u>Common factors are:</u>
<u>So HCF is:</u>
- HCF(900, 270) = 2*3*3*5 = 90
