Answer:
<h3>The answer 4.2 units </h3>Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(2,4) and D (5. 7)
We have
We have the final answer as
<h3>4.2 units to the nearest tenth</h3>Hope this helps you
Which expression can be used to find the quotient of 15 and 1/3?
Solution
The quotient of "P" and "Q" is P/Q.
Therefore, the quotient expression of 15 and 1/3 is
We can rewrite
Note: If we have fraction in the divisor, we can flip the fraction and multiply with the dividend.
Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.
Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.
Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 x
8.
Answer:
7
Step-by-step explanation:
<em>hey there,</em>
<em />
< Here's how you do subtraction in fractions!
Make sure you find a least common denominator. Here, it's given to you to be 15. Usually, you can just multiply the two denominators but then it would be quite large at times, so you kind of just have to guess.
How did they go from to
?
Well, they used a least common denominator. 5 was multiplied by 3 to create 15, and 3 was multiplied by 5. But when you multiply the bottoms, you have to multiply the tops of the fraction too (the numerators).
So 4/5x was multiplied by 3. Denominator turned out to be 15, and now the top is 4x3 = 12. So the fraction is 12/15.
1/3x, on the other hand, was multiplied by 5. Denominator was also 15 so they're the same, and top is 1x5 = 5. So the fraction is 5/15.
Now, let's put them together.
When subtracting x, the x just stays there, so if it was 10x-4x, the answer would've been 6x. So now let's subtract!
12-5 = 7, and the denominator stays the same.
The answer is . So the numerator, or answer to your question, would be 7.
<u>Hope this helped! Feel free to ask anything else.</u>
Answer:
Step-by-step explanation:
Circle A has center (-2, 3)
Circle B has center (2, -2)
Circle A can be mapped to Circle A' by a translation:
Center Rule of translation New center
(x, y) (x+4, y-5)
A(-2, 3) A'(-2+4, 3-5) A'(2, -2)
Circle A with radius r 1=2
Circle B with radius r 2=3
Scale factor= r 2/r 1 = 3/2 = 1.5
Since any two circles can be translated to have the same center, the dilation r2/r1 proves the circles are similar where r1 and r2 are the radii of the circles.
The Circle A' and circle B both have center (2, -2). Then circle A' can be mapped to circle B by a dilation with center (2, -2) and a scale factor 3/2=1.5. So circle A and circle B are similar.
Therefore: Translation right 4, down 5, and then a dilation of 1.5 is true.
Translation down 5, right 4, and then a dilation of 1.5 is true.
