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
The answer would be two and nineteen
Answer:
71.5
Step-by-step explanation:
x+1 so (1+10) x (21+5)= 286
but then 1+1=2 and 2x2= 4 so 286 divided by 4= 71.5
Answer:
She have 345$ in her account.
Step-by-step explanation:
Given that,
Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen most salon
Suppose, her savings account balance can be shown with the following expression:
75 + 25w + 35m
If Ellen saves for 8 weeks and most the salon 2 times, how much will she have in her account.
We know that,
When the numbers appear with variables it called coefficients.
When the numbers appear without variables it called constant.
Alphabets in an expression are called variables.
According to question,
25 and 35 are the coefficients and the number 75 appear without variables.
We need to calculate the balance in her account
Using expression

Put the value in the expression


Hence, She have 345$ in her account.