There is a given point (10,3) this shows that when the width (X) is 10, the height (Y) is 3.
On the left side of the graph, they show an equation for the height Hw as being the constant over w ( width).
Using the given point solve for the constant.
Replace Hw with 3 and w with 10:
3 = Constant/10
Solve for the constant by multiplying both sides by 10:
Constant = 3 x 10
Constant = 30
The answer is B.
In this question, you're trying to figure out what property is being represented.
Your answer would be the Distributive Property
This is your answer because as you can see, you are "distributing" the 2 to the variables inside the parenthesis.
When you distribute the number, you would be multiplying, in which in this case there is multiplication.
Therefore, Distributive property would be the correct answer.
Answer:
B. y = -2/3x + 12
Step-by-step explanation:
Formula to find the slope when given two points on a line:
<u>y</u><u>2</u><u> </u><u>-</u><u> </u><u>y</u><u>1</u>
x2 - x1
Substitute the two given points (6, 8) (9, 6):
<u>6</u><u> </u><u>-</u><u> </u><u>8</u>
9 - 6
Slope = -2/3x
We found the slope! And the answer choices already gave us one y-intercept, which is 12. The last thing we do is we form an equation with the information we solved and that was given to us.
y = slope (x) + y-intercept
y = -2/3x + 12
The answer choice that matches this equation is B.
In conclusion, the equation that best estimates the line of best fit shown above is answer choice B.
Please, do not post more than 1 or 2 questions at a time. Out of courtesy I will address one of your six questions here:
<span>2x + 4 = 3(x – 2) + 1
You are to solve this for x.
1) perform the multiplication: </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms: 4+6-1 = x
3) solve for x: x = 11
4) check: Is 2(11) + 4 = 3(11-2) + 1 true?
Is 22+4 = 33-6 true? NO. Try again, looking for the mistake:
</span><span>2x + 4 = 3(x – 2) + 1 => 2x + 4 = 3x - 6 + 1
4 = x - 5
9 = x
Check: Is 2(9) + 4 = 3(9-2) + 1 true? Is 18+4 = 22 true? YES.
The solution to #1 is x = 9 (answer).
Submit your other questions separately, please.
</span>
Answer:
x = 47
Step-by-step explanation:
86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka
86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)
2x = 94 (divide both sides by 2 to get x by itself)
x = 47
