Answer:
D. 14
Step-by-step explanation:
These triangles are something called a scale factor. A scale factor means when you multiply any side by that factor, you get the side of the other triangle. It is an exact copy of the triangle from before, just bigger or smaller, also known as set to scale. Here we can do 7/6 to find the scale factor (which is 1.16666666667), and multiply that factor by 12 to get 14.
Answer: y = -2/5x -4
Step-by-step explanation:
First we can notice that the line is not going through the origin but is is going through the y-intercept which is -4.In this case the the equation of the line has be in slope intercept form as if y=mx +b where only m and b is indicated and m is the slope and b is the y intercept. So since we already know the y intercept is -4 we need to find the slope using the points on the line.
The points (0,-4) and ( -5,-2) lies on the line and we could use them to find the slope. To find the slope,we need to find the change in the y coordinates and divide it by the change in the x coordinates.
-4 -(-2) = -2
0 - (-5) = 5
slope: -2/5
So since the slope is -2/5 and the y intercept is -4 then we will have the equation,
y= -2/5x - 4
Percent proportion is just any positive fraction, which, as it was mentioned, can exceed whether the percentage has a fixed denominator, equal to 100. So, although there's no intuitive difference, there is a slight distinction in the mathematical sense. It is also the amount of items in a mixture. Example: two eggs for every two cups of flour.
percent equation is a part of something equals to percent times the whole
part = percent x whole
Example: what is 80% of 20?
n = 80/100 x 20
n= 0.80 x 20
n = 16
So 16 is 80% of 20
part (16) = percent (80%) x whole (20)
n = p x w (variable representation
Answer:
b = 3, which is an extraneous solution because if we replace b = 3 in the equation, we must be 5/0 and 30/0, and there is division by 0.
Step-by-step explanation:
The minus common multiply must be (b-3)*(b+3) = b² - 9
7b - 21 + 5b + 15 = 10b
2b = 6
b = 3
Which is an extraneous solution because if we replace b = 3 in the equation, we must be 5/0 and 30/0, and there is division by 0. So this solution is invalid.
Answer:
Step-by-step explanation:
The correct answer is D. If we are multiplying by 10 we would move the decimal place one place to the right to show that the number is now 10 times bigger. If we multiply by one hundred. We are getting 100 times bigger, so we would move the decimal place 2 places to the right.
The opposite is true if we are dividing. Instead of moving the decimal to the right to show that the number is getting bigger, we move to the left to show that the number is getting smaller. If we are getting smaller by 10, we would move the decimal one place to the left. In this case, we are getting 100 times smaller so we move the decimal two places to the left.
