Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.
Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.
To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.
If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.
Now that we know the slope and the given coordinate, we can start solving.
Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.
I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!
well, 1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.
Answer:
30396 fish.
Step-by-step explanation:
We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:
The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:
48000 - 48000 * 0.03
That is to say:
48000 * (1 - 0.03)
Now, depending on the year number it would be:
48000 * (1-0.03) ^ n
But how were 15 years n = 15, then:
48000 * (1-0.03) ^ 15 = 30396.057
The fish population would be 30396 fish.
3b+2b+b=181.5
6b=181.5
6b/6=181.5/6
b=30.25
The baby panda eats 30.5 pounds and since the female panda eats two times that you multiply it by two.
30.25 x 2 = 60.5
Hey there Rosy! I did this recently and the answer is:
1 : 4
2 to 8
18
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72
