Answer:
m = -2
Step-by-step explanation:
To get the slope of the line, we are going to use the 2-points slope equation form
That will be;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-5,11)
(x2,y2) = (8,-15)
m = (-15-11)/(8-(-5)) = -26/13 = -2
The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;
m = (x2-x1)/(y2-y1)
It is an error of switching the numerator for the denominator
Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
(x + 3)² = 69
(x + 3)(x + 3) = 69
x² + 3x + 3x = 69
x² + 6x - 69 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 6
c = - 69
Therefore,
x = [- 6 ± √(6² - 4 × 1 × - 69)]/2 × 1
x = [- 6 ± √(36 + 276)]/2
x = [- 6 ± √312]/2
x = (- 6 + 17.7)/2 or x = (- 6 - 17.7)/2
x = 11.7/2 or x = -23.7/2
x = 5.85 or x= - 11.85
Answer:
C
Step-by-step explanation:
7 % of cost price is 2.80 , What about 1%?
7 = 2.80
1 = x (where x is the price value of 1% in dollars)
We simplify the above equation, so:
7 × x = 2.8 × 1 → 7x = 2.8 → x = 2.8 / 7 → x = 0.4 dollars
We know that 100% represents the whole price,
so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars
Therefore the store charged $40 dollars for the helmet before tax
Answer: Yes, Rita has enough wire to hang the picture frame.
Step-by-step explanation:
Since we have given that Rita hangs a picture frame of width 22 cm on the wall , the distance from the nail to the top edge of the picture frame is 8 cm, and she has 26 cm of wire to hang the picture .
She need wire only to hang the picture frame which 8 cm away from the nail, and she has 26 cm of wire to hang it .
And 26 > 8 i.e. 26 is greater than 8.
So, Rita has enough wire to hang the picture frame .
