Answer:
Step-by-step explanation:
let : x The length and y the width you have this system :
xy =60....(1)
x = y+10...(2)
put the value for x in (1): (y+10)y =60
the quadratic equation is : y² +10y - 60 = 0
Δ =b² - 4ac a = 1 b= 10 c= - 60
Δ =10² - 4(1)(-60) = 324 =18²
y 1 = (-10-18)/2 negatif...... refused
y 2 = (-10+18)/2 =4
the width is 4
Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
Answer:
x = 20, <S = 47 degrees, <P = 131 degrees
Step-by-step explanation:
27 + x + 119 + 63 + 3x + 71 = 360
4x + 280 = 360
4x = 80
x = 20
<S = 27 + x = 27 + 20 = 47 degrees
<P = 3x + 71 = 3(20) + 71 = 131 degrees
Answer:
The function f(x)= –StartRoot negative x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).
Step-by-step explanation:
The range of the graph is all real numbers greater than or equal to 0.
Answer:
6/35
Step-by-step explanation:
5 5/6 = 35/6, the inverse would be 6/35
