Answer:
(3, 1)
Step-by-step explanation:
x+5y=8
-x+2y=-1
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7y=7
y=7/7=1
x+5(1)=8
x+5=8
x=8-5=3
Answer: x=3, y=1.
The hypotenuse is the longest side of a right angle triangle. Also,
hypotenuse² = base² + height²
Checking if the equation, Pythagoras theorem, is satisfied:
27² = 10² + 24²
729 ≠ 676
Thus, this is not a right triangle.
Answer:
4.25 yards
Step-by-step explanation:
38.25/9=4.25
Answer:
24 litres
Step-by-step explanation:
Given that :
Number of people present at party = 32
Volume of drink consumed by each person in mL = 750 mL
To consumption in mL:
Number of people * volume consumed by each
32 * 750 mL
24000 mL
24000 mL to L
1000 mL = 1 L
24000 mL = (24000/ 1000)L
= 24 L
Answer:
3x + y = 9.5
Step-by-step explanation:
1) The equation of a line is in the form of y = mx + c, where m is the gradient and c is the y-intercept. Write the given values in that form.
y = -3x + c
2) Find the value of k by using the following formula: m = y2 - y1 / x2 - x1. We already know m.
-3 = 8 - k / k - 3
-3(k - 3) = 8 - k
-3k + 9 = 8 - k
-3k + k = 8 - 9
-2k = -1
k = -1/-2
k = 1/2
3) Therefore, a line with gradient of - 3 passes through the points (3, 1/2) and (1/2, 8). We can find the y-intercept (c). To do so, choose one of the coordinates and substitute.
y = -3x + c
1/2 = -3(3) + c
1/2 = -9 + c
1/2 + 9 = c
9.5 = c
Completed equation of the line: y = -3x + 9.5
4) Write it in the form of ax + by = c.
3x + y = 9.5
