Answer:
5
Step-by-step explanation:
follow me if I'm right
-2=x1 7=y1 -8=x2 4=y2
Y=Mx+b
Y2-y1 = 4-7 =-3
X2-x1 = -8-(-2) = -6
M (slope) = 3
Use the coordinate (-8, 4)
Y = MX + B = 4 = 3(-8) + b
4 = -24+ B
Add 24 to both sides to keep your equation balanced
B equals 28
Y = 3X + 28
<h3>
Answer: 864</h3>
=======================================================
Work Shown:
There are,
- 3 sizes of coffee
- 4 types of coffee
- 2 choices for cream (you pick it or you leave it out)
- 2 choices for sugar (same idea as the cream)
This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.
There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.
Multiply the values of A and B to get the final answer
A*B = 48*18 = 864
There are 864 ways to order a coffee and bagel at this restaurant.
--------------
If you're curious why you multiply the values out, consider this smaller example.
Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).
This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.
Step-by-step explanation:
÷6
First, simplify the 6 to an improper fraction, which is:
Next rewrite the equation using the improper fraction:
÷
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.
·
Finally, multiply together and simplify/reduce if needed:
<u>The final answer is </u>
<u> and no simplification or reduction is needed</u>
Answer:
A is correct < C and < C" are congruent after both the translation and the dilation.
Step-by-step explanation:
The shape of the triangle remains the same after the translation and the dilation. After the dilation the new triangle is bigger by a factor 2 but the shape ( and therefore the angles are equal. The 2 triangles are similar,
