Answer:
The slope of the line is .
Step-by-step explanation:
We use the formula change in y over change in x to find the slope:
Then we simplify:
The slope of the line is .
Step-by-step explanation:
the answer is (c)
because 0 is 3 in number,
1 is 4 in number,
2 is 3in number
3 is 2 in number,
4 is 2 in number,
no 5,6,7
8 is 1 in number
and no 9
Answer:
y= 5x+13
Step-by-step explanation:
<u>Slope- intercept form</u>
y= mx +b, where m is the gradient and b is the y-intercept.
Parallel lines have the same gradient.
y= 5x +4
Gradient of given line= 5
Thus, gradient of line= 5
Subst. m=5 into the equation.
y= 5x +b
To find the value of b, substitute a coordinate
When x= -2, y=3,
3= 5(-2) +b
3= -10 +b
b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= 13
Thus, the equation of the line is y= 5x +13.
Answer:
117.00
Step-by-step explanation:
I = prt where i is the interest , p is the principal r is the rate and t is the time in years
2 years 6 months is 2.5 years
I = 1200 * .039* 2.5
I =117
Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative