Answer:
EK = 9
Step-by-step explanation:
x + 11 = -5 + 2x -5 + 2x
x+11 = -10 + 4x
11 = 3x - 10
3x = 21
x = 7
EK =-5 + 2 × 7
EK = 14 - 5
EK = 9
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Answer:
There will be 49 fl oz of Orange Juice and 77 fl oz in total.
Step-by-step explanation:
The ratio for Orange Juice to Sparkling Water is 7:4, so for every multiple of 4 your using of water, your using that number times 7 for Orange Juice. We are given the amount of water being used, which is 28 fl oz, so we divide that by 4 to get 7, then we multiply that by 7 for the Orange Juice and get a total of 49 fl oz of Orange Juice. The last step is to add the two totals together to get the grand total, and since we have 49 fl oz of Orange Juice and 28 fl oz or Water, we add those 2 numbers together to get 77 fl oz of Punch.
Answer:
Step-by-step explanation:
they are both written about a particular individals life
Answer:
-1/2
Step-by-step explanation:
y = -1/2x + 1/4 is in slope y-intercept form : y = mx + b
m is slope
Slope = -1/2
