Answer:
-2
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 5 / -6 - (-4)
4 / -2
= -2
Step-by-step explanation:
step 1. what is the question? probably solve for x. okay.
step 2. 4^(2x) + 1 = 4
step 3. 4^(2x) = 3 subtract 1 from each side
step 4. ln4^(2x) = ln3 take on of each side
step 5. 2xln4 = ln3 definition of logs
step 6. 2x = ln3/ln4 divide both sides by ln4
step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2
step 8. x = ln3/4ln2.
So 45 more chocolate stars were sold compared to chewy squares, which makes it a ratio of 3:8, hence we can assume that (45÷5=9) is the amount sold for each ratio.
If you multiply 9 by (3+8=11), you will get 99.
You would do 78/4 which equals 19.5. Hope this helps!
<h2>
Answer</h2>
After the dilation
around the center of dilation (2, -2), our triangle will have coordinates:



<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor
. Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:













Now we can finally draw our triangle: