Answer: 39
Step-by-step explanation:
180-(39+102)
180-141
39
7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is:

. With this consideration, we can continue.
(i) Let E the expression that we are analyzing:

Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:

So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:

Multiplying by (2-1) in the both sides:

Repeating the process, we obtain:
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
The first option I believe thank me plz
Answer:

Correct answer: Option b
Step-by-step explanation:
<u>Equation Of A Line
</u>
The standard equation of a line is given by

Where m is the slope of the line and can be computed as

Where (a,b), (c,d) are two known points of the line. Let's use the points (-3, 1), (3, 2)


The value of b can be obtained by using any point and the value of m. Let's use (3,2)


The equation of the line is

Multiplying by 6

Rearranging

Correct answer: Option b