Answer:
y=-1/2x+4 Is your answer
Step-by-step explanation:
y=mx+b
3=2x+4
-1=2x
x=-1/2
You already know y is 4 so y=-1/2x+4
Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Answer:
I had it before and it is 15 ft²
Answer:
T = 88 degrees to the nearest degree
Step-by-step explanation:
To find the measure of the angle T, we can use the cosine rule
We have the formula as;
t^2 = u^2 + v^2 - 2uv Cos T
t = 8.1
u = 7.1
v = 4.2
8.1^2 = 7.1^2 + 4.2^2 - 2(7.1)(4.2) cos T
-2.44 = -59.64 cos T
cos T = (2.44)/(59.64)
T = arc cos (2.44/59.64)
T = 87.66
to the nearest degree, this is 88 degrees
Answer:
c²(1 + 3d)
Step-by-step explanation:
The sum of square of c and d is;
c² + d
Twice the product of c and d is;
2c²d
Because c² + d is increased by 2c²d the algebraic expression becomes;
c² + d + 2c²d
or
c²(1 + 3d)