Answer:
8 and 3
Step-by-step explanation:
We first want to add 5 to both sides, making the equation x^2 -11x +24=0, now, we want to use the quadratic formula, which is( -b <u>+</u> sqrt(b^2 -4ac)) /2a
for equations of the form ax^2 + bx +c, so in our case, a =1, b= -11, and c=24,
when you plug in the variables, you will get the answers! :)
Answer:
<h2>Question 13 : x = 62°</h2>
<h2>Question 14 : x = 2</h2>
Step-by-step explanation:
Question 13
The diagram in question 13 is a triangle.
The sum of interior angles of a triangle is equal to 180°
To solve for x ;

Question 14
(: represents ratio or /)
x/9 = 18/81
Cross Multiply
81x = 18×9
81x = 162
Divide both sides of the equation by 81
81x/81 = 162/81
x = 2
Answer:
a₁ = 23/100 and r = 1/100
S = 23/99
Step-by-step explanation:
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term of the series and r is the common ratio.
0.23 repeating is 0.232323... To convert this to a fraction using the above equation, first we must write this as a series:
0.23 repeating = 0.23 + 0.0023 + 0.000023 + ...
The first term is 0.23, and the common ratio is 0.01.
Therefore, a₁ = 0.23 and r = 0.01. Or, in fraction form, a₁ = 23/100 and r = 1/100.
Plugging this into the equation, we can convert 0.232323... to a fraction.
S = (23/100) / (1 − 1/100)
S = (23/100) / (99/100)
S = 23/99
Answer:
1. 87x20(4) divided by 20.
Step-by-step explanation: