Answer:
2. y = -1/2x - 1
Step-by-step explanation:
First we want to find the slope of the line.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values using two points (-4, 1) & (2, -2)
(-2 - 1) / (2 - (-4))
Simplify the parentheses.
= (-2 - 1) / (2 + 4)
= (-3) / (6)
Simplify the fraction.
-3/6
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
b is the y-intercept when the line crosses the y-axis.
From the graph, we can see that the point on the y-axis is (0, -1)
Therefore, b is -1.
Plug this into the equation.
y = -1/2x - 1
Hope this helps!
Answer:
12/13, or answer choice B
Step-by-step explanation:
Ok first lets find the lengths of this triangle. We know 2 lengths already, 5 and 12. By using the pythagorean theorem, a^2+b^2=c^2, we can figure out that the third side is 13 units long.
Math:
5^2+12^2=169
25+144=169
And the square root of 169 is 13, meaning that the hypotenuse of the right triangle is 13.
To remember what SIN TAN and COS mean, you can use this helpful phrase: SOH CAH TOA
SOH: It means that SIN is OPPOSITE OVER HYPOTENUSE
CAH: it means that COS is ADJACENT OVER HYPOTENUSE
TOA: It means that TAN is OPPOSITE OVER ADJACENT
because it asks for SIN B, we need to do OPPOSITE OVER HYPOTENUSE.
Because the side opposite to angle B is 12 units, and the hypotenuse is 13 units, the answer is 12 over 13 units, or 12/13.
I hope my answer helped!
If this helped you, please vote brainliest. Thanks!
If the 10 books are all different, we have:
• 10 ways of selecting the first book,
,
• 9 ways of selecting the second book,
,
• 8 ways of selecting the third book,
,
• 7 ways of selecting the fourth book.
The total number of ways to arrange 4 of the 10 books is:
Answer
There are 5040 ways of arranging the books.
Answer: I wanna say it's B
Step-by-step explanation: but I'm not completely sure.
<span><span>Step 1: Write down the decimal divided by 1, like this: <span>decimal/1</span></span><span>Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)</span><span>Step 3: Simplify (or reduce) the fraction . ( Did That Help ? ) </span></span>
