Slope of the line = (4--1) / (8-2) = 5/6
point slope form is y-y1 = m(x-x1) where m=slope and (x1,y1) is a point on the line
so the answer to (a) is y + 1 = (5/6)(x - 2) Answer
(b) multiply the above equation by 6:-
6y + 6 = 5(x - 2)
6y + 6 = 5x - 10
5x - 6y = 16 is the equation in standard form Answer
Answer: 24
Explanation: You’ll have to multiply the numbers. 12x6 = 72. 12x-4 = -48.
72 + (-48)
You remove the parentheses because when there’s a “+” in the front of an expression in parentheses, the expression remains the same.
Therefore, it’s just 72-48. Subtract that and you’ll get 24. Hope this helps! (:
Answer: 6x + 6
Step-by-step explanation:x = the number 5x + (x + 6) {five times the number added to the sum of the number and six} = 5x + x + 6 {took out parentheses}
Answer:
m = 10/3
<em>(as a decimal: m = 3.333...)</em>
<em />
Step-by-step explanation:
5m - 8 = 2m + 2
5m - 8 = 2m + 2
- 2m - 2m <em>(make all "m" on one side to isolate variable)</em>
3m - 8 = 2
+ 8 + 8 <em>(get m entirely on 1 side)</em>
3m = 10
÷3 ÷3 <em>(divide by 3 to get 1m)</em>
m = 10/3
<em>(as a decimal: m = 3.333...)</em>
<em />
<em />
hope this helps!! have a lovely day :)
Answer:
f(x) = 4(x + 6)² – 134
Step-by-step explanation:
To write an equation in vertex form, we first factor out the GCF of the first two terms. For 4x² and 48x, this is 4:
f(x) = 4(x²+12x)+10
Next we complete the square. The value of b inside parentheses is 12; we take half of that and square it:
(12/2)² = 6² = 36
We add this inside parentheses. However in order to preserve equality, we must subtract this value as well. Since the terms inside parentheses are being multiplied by 4, we multiply the 36 we subtract by 4 as well:
f(x) = 4(x²+12x+36)-4(36)+10
Simplifying, we have
f(x) = 4(x²+12x+36)-144+10
Combining like terms,
f(x) = 4(x²+12x+36)-134
Next we write the trinomial in parentheses as a perfect square:
f(x) = 4(x+6)²-134
