Two vertical angles are formed. These angles are also equal to each other.
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
Answer:
D
Step-by-step explanation:
So we have the equation:

And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:

Divide the b term by 2 and square it:

So, add 9 to both sides:

On the left, the perfect square trinomial pattern. Add on the right. So:

Take the square root of both sides:

The square root of -49 is 7i:

Add 3 to both sides:

So, our answer is D.
And we're done!
Since the nickles are first and there are (1.00 /.05= 20) 20 nickles in a dollar the first number is 20 then next is quarters and there is (1.00 / .25= 4) 4 quarters in a dollar so the second number is 4 so now u have to simplify if you were told to
the number 20 can be divided by 4 and the answer is 5 the number 4 is next divide by 4 and is 1 so the whole answer is <u>5 to 1 or 5:1</u> <u /><u />
Answer: The 12.81 for 14 lbs of apples is the better buy.
Step-by-step explanation:
Find the unit price (the price of 1 lb of apples)
7.64/8 lbs = 0.955 per pound
12.81/14 lbs. = 0.915 per pound;