Answer:
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs:

In this case, given the following expression:

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.
Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:

You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
Answer:
1.5
Step-by-step explanation:
The average rate of change is 1.5
when x=0 , the value of y =1
when x=2 the value of y = 4
<em>average rate of change formula = </em>
a= 0 , f(a)=1
b=2, f(b)= 4
4 - 1 / 2 - 0 = 3/2 = 1.5