Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
Answer:
A
Step-by-step explanation:
In order to compare all three numbers, you must change them all to have the same form, either all decimal form, all fraction, or all percentages.
The easiest ways to compare are decimal and percentage, as they're practically the same thing. For simplicities sake, though, let's turn all the numbers into decimal.
Since 0.85 is already in decimal form, leave it as it is.
3/4 can be turned into a decimal by putting it into a calculator, but intuitively you should know that it's 0.75. If you don't know a fraction intuitively, you just need to make the fraction into a multiple of denominator 100 and take the numerator. For example:
Numerator is 75.0, now simply move the decimal place up to to get the decimal form 0.75.
91% can be changed into a decimal by moving the decimal place left 2 places. 91.0% turns into 0.91.
Now that you can see the numbers, just rearrange them from least to greatest
0.75<0.85<0.91
equal to A
Answer:
15/60×100=25%
Step-by-step explanation:
the number of students wanted to go outside/the whole number of students×100
15/60×100=25%
In the given triangle, the slope of line BC is (C) -1.
<h3>
What is the slope?</h3>
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
A line's slope is how steeply it slopes from LEFT to RIGHT.
The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.
No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).
So, the slope of line BC:
Coordinates of BC are:
B: (-2, 6)
C: (4, 0)
Slope formula: m = y2-y1/x2-x1
Now, substitute the values and calculate as follows:
m = y2-y1/x2-x1
m = 0-6/4-(-2)
m = -6/6
m = -1
Therefore, in the given triangle, the slope of line BC is (C) -1.
Know more about slopes here:
brainly.com/question/29280886
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