Answer:
c) 4
Step-by-step explanation:
<u><em>The sum of two numbers is 14. The larger number minus three times the lesser number is -2</em></u>
<u><em /></u>
To solve this question, we need to write the statement mathematically;
Let the two numbers be x and y
"The sum of two numbers is 14" can be mathematically written as x+y = 14
and
"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2
x + y = 14 ------------------(1)
x - 3y= -2 -------------------(2)
Subtract equation (2) from equation (1)
[x - x = 0 y - (-3y)=4y 14-(-2)=16]
4y = 16
To get the value of y divide both-side of the equation by 4
4y/4 = 16/4
y = 4
Substitute y=4 into equation (1)
x + y =14
x +4 =14
Subtract 4 from both-side of the equation
x + 4 -4 = 10]-4
x = 10
x=10 and y =4
Therefore the lesser number is 4
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
Answer: A: 2 and C: 4
Step-by-step explanation:
supplementary angles form a straight line adding up to 180 degree angles
Answer:
The height of the roof is 534.8 feet.
Step-by-step explanation:
Let h be the height of the roof.
We know the formula
Since, the stone is dropped from the edge of the roof hence, the initial velocity should be zero. Thus, u = 0
Now, we have
v = -185 feet per second
g = 32 feet per square second
On substituting these values, we get
The height of the roof is 534.8 feet.
Good evening ,
______
Answer:
f(4y) = -8y - 3.
___________________
Step-by-step explanation:
f(x) = -2x-3 Then f(4y) = -2(4y) -3 = -8y - 3.
:)
