Answer:
Firstly you need to put the equation in form of. y =ax+b
Let us do it
We have
2x-2y=18
-2y=18-2x
-y=(18) /2 - (2x)/2
-y =9-x
Mutiply by - to remove it beside y
Y=-9+x
Which is y=x-9
Slope =a=1
Yintercept=b=-9
Answer:
difference in area = 16 ft²
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
Step-by-step explanation:
Jacks rectangular patio
width = a
length = 2a - 1
area = lw
where
l = length
w = width
area = 120 ft²
a(2a - 1)
2a² - a - 120 = 0
(a - 8) (2a + 15)
a = 8 or -15/2
Ron's rectangular patio
width = a
length = a + 5
area = lw
area = 104 ft²
a (a + 5) = 104
a² + 5a -104 = 0
(a + 8) (a - 13)
a = -8 or 13
How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,
120 - 104 = 16 ft²
The value 8 or 13 can be used for a since the width a have to be the same.
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
Answer:
The probability that the student is going to pass the test is 0.0545
Step-by-step explanation:
The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2
Then, if the student pass the test with at least 8 questions correct, the probability P of that is:
P = P(8) + P(9) + P(10)

P = 0.0439 + 0.0097 + 0.0009
P = 0.0545
Answer:
11 or -16
Step-by-step explanation:
The square of a number increased by 5 times the number is equal to 176.
Let the number be x
Then, x²+5x=176
x²+5x-176=0
We use splitting the middle term method
x²+16x-11x-176=0
x(x+16)-11(x+16)=0
(x-11)(x+16)=0
i.e. either x-11=0 or x+16=0
i.e. either x=11 or x=-16
Hence, the number is either 11 or -16
Answer:
Step-by-step explanation:
(30*48)/100 = 14.40
48 - 14.40 = $ 33.60
48 + 33.60 = $ 81.60