Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is <em>(y-1) = m1 (x-1)...............(i)</em> {using one point formula}
Also, another equation which is perpendicular to the line is <em>y = 1/5 x + 4/5..........(ii)</em>
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
Answer:
(x+1)(x+3)
Step-by-step explanation:
Let's factor x^2+4x+3
x^2+4x+3
The middle number is 4 and the last number is 3.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get 3
Can you think of the two numbers?
Try 1 and 3:
1+3 = 4
1*3 = 3
Fill in the blanks in
(x+_)(x+_)
with 1 and 3 to get...
(x+1)(x+3)
Answer:
(f + g)(x) = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x + 3
g(x) = -x + 2
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute in function values: (f + g)(x) = x + 3 - x + 2
- [Subtraction] Combine like terms (x): (f + g)(x) = 3 + 2
- Add: (f + g)(x) = 5
For this problem, you need to substitute 4 in for your variable t. the original equation is S(t) and the one you need is S(4) -- in other words, evaluate this equation when t = 4.
S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.
Answer:
35.8 deg
Step-by-step explanation:
a/sin A = b/sin B
24/sin x = 39/sin 71.8
sin x = (24 * sin 71.8)/39
sin x = 0.584598
x = sin^-1 0.584598
x = 35.8 deg
