Answer:
<h2>
y = ²/₃x + ⁴/₃</h2>
Step-by-step explanation:
The point-slope form of the equation of line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 2/3x + 1 ⇒ m₁ = 2/3 ⇒ m₂ = 2/3
(-5, -2) ⇒ x₁ = -5, y₁ = -2
point-slope form:
y - (-2) = 2/3(x - (-5))
y + 2 = 2/3(x + 5)
y + 2 = 2/3x + 10/3 {subtact 2 from both sides}
y = 2/3x + 4/3 ← slope-intercept form
Answer:
769.50
Step-by-step explanation:
95 ÷ 20 = 4.75
So, 4.75 is the cost per student
4.75 × 162 = 769.50
So, 4.75 dollars per student times 162 students is 769.50
Answer:
Associative property is illustrated.
Step-by-step explanation:
we have been given:
(2+3.4)+6=2+(3.4+6)
This is the associative identity which is:
a+(b+c)=(a+b)+c
Here, we have a=2, b=3.4, c=6
On comparing the values with associative property we get:
(2+3.4)+6=2+(3.4+6)
We club two numbers b and c first and then a and b in same bracket.
Answer:
The correct answer is B
Step-by-step explanation:
View attachments.
Use symbolab to compare the equations :)
Hope this helps XD
Answer:

Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

Substitute these values into the formula.

Solve the exponents.


Add.

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

The third side length is <u>8.</u>