Answer:
(D.) $5.35
Step-by-step explanation:
1.25+0.35=1.60
1.60+3.75=5.35
Answer:
1) x=14 and y=-3
Step-by-step explanation:
To solve the system of equations, substitute x = -3y+5 into the equation 2x + 8y = 4 for x. This becomes 2(-3y+5) +8y = 4. To solve, apply the distributive property, combine like terms and isolate y.
2(-3y+5)+8y=4
-6y+10+8y=4
10+2y=4
10-10+2y=4-10
2y=-6
y=-3
Then to find x, substitute y =-3 into x =-3y+5.
x = -3(-3) + 5
x = 9 + 5
x = 14
Answer:
16.69°
Step-by-step explanation:
Given that,
Height of the building, h = 60 foot
Distance from the base of the building, b = 60 foot
We need to find the angle of elevation must the plane takes off in order to avoid crashing into the building. So,
So, the required angle is 16.69°.
9514 1404 393
Answer:
- real: -1, 2; complex: +i, -i
- 1, 3, 4
Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
__
2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
__
I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.
B liquid.
When the water vapor cools enough, the attractions between the molecules bring them together. This causes the water vapor to change state and become tiny drops of liquid water. The process of changing from a gas to a liquid is called condensation.