Equation of a line is:
y=mx+C
------------------------
We're looking for m as m stands for gradient.
2x-6y=0 (Divide all terms by 2)
x-3y=0
3y=x
y=1/3x
y=1/3x+0
Therefore m=1/3, C=0.
Answer:
y = 15
Step-by-step explanation:
Given: y varies directly with x, x=4 when y=20
To find: y when x = 3
Solution:
As y varies directly as x, it means that as x increases, y also increases by the same factor.
As y varies directly with x,
Here, k is a constant
As x = 4 when y = 20,
Put x = 3
Answer:
16=9+m m=7
Step-by-step explanation:
m=7 makes the equation true
1. 11; 4
2. -64; 81
3. X+5; x+22,500
4. -13; -3
5. 8
6. 56F; 6F
7. -29/10 or -2 and 9/10
8. >; <; <
9. -2/9
Answer:
- Q3. 12 units
- Q4. 6.33 units
- Q5. 66.19°
Step-by-step explanation:
Q3
DE and DF are legs and EF is hypotenuse
- DE = √EF² - DF²
- DE = √13² - 5² = √169 - 25 = √ 144 = 12
- DE = 12 units
Q4
PR is opposite side of angle Q and RQ is adjacent side
- tan 54 = PR/RQ
- tan 54 = PR / 4.6
- PR = 4.6tan 54
- PR = 6.33 units
Q5
As previous question, using tan as BC is opposite and AC is adjacent leg of angle A
- tan A = 6.8/3
- tan A = 2.266
- A = arctan (2.266)
- A = 66.19°
