Answer:
Step-by-step explanation:
The formula for point slope is: 
When:
m = slope
(x1,y1) = the point on the graph
-9 is the slope, so it replaces m. x1 is -1, and y1 is -3.
Plug in the values:
OR
The answer is 12. If you read from left to right, the numbers go up 12, if you go from right to left, they go down 12. Hope this helps!
Please use "^" to indicate exponentiation:
<span>f(x)=x^2+10x+35
Complete the square: </span><span>f(x)=x^2+10x+25-25+35 = (x+5)^2 +10
or y-10=(x+5)^2, so the vertex is at (-5,10). h has the value -5.</span>
First thing, there is a typo in all your answers: there is no way you can get 14 as a product of the numbers of the spinner's sectors, but rather 36.
After this premise, the correct answer is A) If the product of the spins is 2, pale lilac will be used. If the product is 4, mellow sage will be used. If the product is 12, seafoam blue will be used. If the product is 1, 6 or 36, totally taupe will be used.
Explanation:
You have a spinner with 4 sectors that is spinned twice. Therefore, the possible outcomes are 4 × 4 = 16 pairs of numbers:
(1, 1) (1, 2) (1, 2) (1, 6)
(2, 1) (2, 2) (2, 2) (2, 6)
(2, 1) (2, 2) (2, 2) (2, <span>6)
</span>(6, 1) (6, 2) (6, 2) (6, <span>6)
The possible products are then,
1 2 2 6
2 4 4 12
2 4 4 12
6 12 12 36
Hence, we have:
1 possible product of 1;
4 </span><span>possible products of 2;
4</span><span> possible products of 4;
</span><span>2 possible product of 6;
</span><span>4 possible products of 12;
</span><span>1 possible product of 36.
Since the paint colors are 4, to make a fair decision, each color should be matched with 16 </span>÷ 4 = 4 total possible outcomes: the products 2, 4 and 12 each have 4 possible outcomes, the products 1, 6 and 36 together have 4 possible outcomes.
Therefore, a fair decision is taken if we match:
product 2 - color 1
product 4 - color 2
product 12 - color 3
products 1, 6 and 36 - color 4.
Hence, the only correct option is A)
The point C at a coordinate of (-3, 4) is the center of dilation of shapes WXYZ to W'X'Y'Z'
<h3>How to determine the center of dilation?</h3>
The coordinates are given as:
- W = (-4, 3) X = (-2, 3) Y = (-4, 1) Z = (-2, 1)
- W' = (-6, 1) X' = (0, 1) Y' = (-6, -5) Z' = (0, -6)
- A = (-5, 4) B = (-3, 6) C = (-3, 4) D = (-1, 4)
Next, we plot the points on a coordinate plane
From the plane (see attachment), we can see that the point C at a coordinate of (-3, 4) is at the center of both shapes, and it is 1 unit from WXYZ and 3 units from W'X'Y'Z'.
Hence, the point C is the center of dilation
Read more about dilation at:
brainly.com/question/3457976
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