Answer:
8) scale factor: 3
angles Q & L, S & N, r & M
sides 10 x 3 = 30, 6 x 3 = 18, 13 x 3 = 39
9) scale factor: 0.4
angles B & F, C & G, D & H, A & E
sides 9 x 0.4 = 3.6, 7.5 x 0.4 = 3, 10 x 0.4 = 4, 12 x 0.4 = 4.8
Answer:
Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2
The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.
<h3>What is polynomial?</h3>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Consider the trinomial 6x² + 13x + 6.
Compare with the standard equation, we have
ax² + bx + c
Then we have
a = 6
b = 13
c = 6
The product of ac will be
ac = 6 × 6 = 36
The sum of ac and b will be
ac + b = 36 + 13 = 49
The two numbers that have a product of ac and a sum of b are 4 and 9.
More about the polynomial link is given below.
brainly.com/question/17822016
The most accurate "estimation" for 5+4 is um... 9
<u><em>Answer: x<-6 *The answer should be the negative sign.*</em></u>
Step-by-step explanation:
subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.
subtract 5 both sides of an equation.
5-2x-5>17-5
simplify.
-2x>12
multiply by -1 both sides of an equation.
(-2x)(-1)<12(-1)
simplify.
2x<-12
divide by 2 both sides of an equation.
2x/2<-12/2
-12/2=-6
12/2=6
6*2=12
12/6=2
x<-6
Hope this helps!
Thanks!
Have a great day!
