Answer:
The smallest integer is -4.
Step-by-step explanation:
Let the smallest integer be x.
Since the integers are all multiples of 4, they are
=> x, x+4, x+8, x+12 and x+16
=> x + x+4 + x+8 + x+12 + x+16 = 20
=> 5x + 40 = 20
Subtract 40 from both sides of the equation
5x +40 - 40 = 20 - 40
5x = -20
Divide both sides by the coefficient of x(which is 5)
x = -4
∴ the smallest integer is -4.
Hope this helps!!!
Title has 2.5 feet, 30inches,0.33 yards
Bax has 1.5yards,54inches,4.5feet
and carol has 42 inches 1.1667 yr and 3.5 feet of ribbonthere total is 126 inches 3.50 yards and 10.5 feet of ribbon
Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
Hello!
As we are looking for the opposite side and hypotenuse, we will use the sine.
sin30=1/2
This gives us the equation below.
1/2= 5/x
1/2x=5
x=10
Therefore, x=10.
I hope this helps!
Answer:
gradient = -5
Step-by-step explanation:
A line passes (x1, y1) and (x2, y2) has the gradient (slope) which is calculated by:
gradient = (y2-y1)/(x2-x1)
As shown in picture, this blue line passes (-1, 0) and (0, -5)
=> gradient = (-5 - 0)/(0 - -1) = -5/1 = -5
Hope this helps!
