Answer:
300litres
Step-by-step explanation:
capacity of water tank=1000litres
7/10 parts of tank is emptied,
<h2> method 1</h2>
so, to know the litres of water left in the tank has to be equal to 1000litres-emptied tank
let X to represent water left in the tank
X=1000litres-(7/10*1000litres)
X=1000litres-700litres
X=300litres
hence, litres of water left in the tank =300litres
<h2>method 2</h2>
since, full tank is 10/10 and you know the emptied tank has 7/10. meaning the remaining part of water is
10/10-7/10
3/10 of the tank with water
therefore, 3/10*1000litres
300litres.
Use the rational root theorem
a0=16, an=1
The dividers of a0: 1,2,4,8,16 The dividers of an:1
Therefore check the following rational numbers: +- 1,2,4,8,16/1
4/1 is a root of the expression, so factor out x-4,
compute (x^4+13x^3-64x^2-20x+16)/(x-4) to get the rest of the equation:
x^3+17x^2+4x-4
=(x-4)(x^3+17x^2+4x-4)/x-4
which will leave you with answer B
x^3+17x^2+4x-4
Answer:
B
Step-by-step explanation:
Perpendicular lines have opposite-reciprocal slopes
So if I had a slope of 2, the perpendicular slope would be -1/2.
Or if I had a slope of -7, the reciprocal is -1/7 and the opposite would be 1/7.
Hope this helps!
Answer:
Determine whether lines are parallel or perpendicular given their equations; Find equations of . We can begin by using point-slope form of an equation for a line. No. For two perpendicular linear functions, the product of their slopes is –1.
Step-by-step explanation:
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
