An equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
In this case, our y-intercept is 0, so we're left with y = -5x.
-5 is in the place of m, which means -5 is our slope.
The slope of y = -5x is -5.
Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
Answer:
See below in bold.
Step-by-step explanation:
The triangular piece of cloth is a right triangle because 41^2 = 40^2 + 9^2 (By the Pythagoras theorem).
So the area of one piece = 1/2 * 9 * 40 cm^2.
The total amount of cloth required for one umbrella = 10 * 1/2 * 9 * 40
= 1800 cm^2.
The total cost = 1800 * 0.25 = Rs 450.
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The external angle is half the difference of the subtended arcs. The smaller arc is shown as 86°. The larger arc will be the difference between 360° and the two arcs shown.
larger arc = 360° -74° -86° = 200°
So, the external angle is ...
4x +13 = (200 -86)/2 = 57
4x = 44 . . . . . . . . . . . . subtract 13 from both sides
x = 11 . . . . . . . divide by 4
Answer:
x > -3/2
step-by-step explanation:
3(x+4) < 5(x+3)
3x+12 < 5x +15
-3 < 2x
-3/2 < x