This is saying that ABC is conguent with LMN meaning all the sides are the same, making it safe to assume that AB is equal to LM. This also means that the equations for both are equal to each other
-3y + 10 = 2y + 15
-5y = 5
y = -1
Then to find AB you plug the -1 in for the y value
-3(-1) + 10 = 13
Knowing these 2 parts, the answer is A
It would be five times as many planes so 12*5=60 planes
Answer: B) y=1/4x+7/2
Step 1: Slope
Knowing that the equation will be perpendicular to the one given will only give us the slope. Perpendicular means that the slope will be opposite to what it is now.
The opposite of -4 (the current slope) is 1/4. Even knowing only this will tell us that the answer is b, but I will continue to explain for when no options are given.
Step 2: Y-intercept
Now that we know the slope, the perpendicular aspect of this equation will no longer be of any help.
To find the y-intercept, we need to substitute y and x with the point given.
Our current equation is— y= 1/4x+b
Let’s substitute the point into this. The point (-2,3) tells us that the y-value is 3 and the x-value is -2.
y= 1/4x+ b
3=1/4(-2)+b
3 = -1/2 +b
+1/2 +1/2
__________
3 1/2 =b
Step 3: Improper fraction
Being that it is preferred to leave fractions improper, let’s turn 3 1/2 into an improper fraction. This will turn into 7/2 (comment below if you need an explanation of how to do this)
Final answer: now that we know that the slope is 1/4 and the y-intercept is 7/2, we know that our equation will be y=1/4x+7/2
Hope this helps comment below for more questions:)
They give you the equation for Louis, and the table for Carl. Just find out Carl's equation by dividing the money earned by the time. 45 divided by 3 equals 15. Check it by the next time, 75 divided by 5 equals 15. So Carl's equation is y = 15x. 15x ( Carl's) greater than 12x ( Louis's).
Answer:
1= 1 7/36
2= 1/2
Step-by-step explanation: