Answer:
x-intercept(s): (0,0)
y-intercept(s): (0,0)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
0 = -x
To find the y-intercept(s), substitute in 0 for x and solve for y
y = -(0)
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
Visualize the problem. We will have to use the distance formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
Let the unknown point be (x,y). The solution is as follows:
Distance between A and the point.
3 = √(4 - x₁)² + (8 - y₁)²
9 = 16 - 8x₁ + x₁² + 64 - 16y₁ + y₁² --> eqn 1
Distance between point and B
1 = √(14 - x₁)² + (10 - y₁)²
1 = 196 - 28x₁ + x₁² + 100 - 20y₁ + y₁² --> eqn 2
Subtract eqn 2 from eqn 1:
8 = -180 + 20x₁ - 36 + 4y₁
8 = -216 + 20x₁ + 4y₁
224 = 20x₁ + 4y₁
56 = 5x₁ + y₁ --> eqn 3
The last equation would be the linear equation using points A and B.
m = (10-8)/(14-4) = 1/5 = (8 - y₁)/(4 - x₁)
4 - x₁ = 5(8 - y₁)
4 - x₁ = 40 - 5y₁
-36 = x₁ - 5y₁ --> eqn 4
Solve equations 3 and 4 simultaneously:
x₁ = 9.38
y₁ = 9.08
<em>Therefore, the closest answer is letter B.</em>
Answer:
No.
Step-by-step explanation:
Substitue x = -5 in the equation 5x - 12 = -5(-x + 13)
You'll eventually get -37=-90
Is this true? No!