Answer:
{x,y} = {5,6}
Step-by-step explanation:
// Solve equation [1] for the variable x
[1] x = y - 1
// Plug this in for variable x in equation [2]
[2] 2•(y -1) - y = 4
[2] y = 6
// Solve equation [2] for the variable y
[2] y = 6
// By now we know this much :
x = y-1
y = 6
// Use the y value to solve for x
x = (6)-1 = 5
Answer:
See attached picture.
Step-by-step explanation:
h(x) has two functions in it. It has y = x and y =-x. Both have a slope of 1 or -1 and are diagonal lines. This means only 2 graphs of the four choices are possible answers.
Notice that y = -x has an interval that is greater than or equal to. This means it is marked with a closed or filled in dot at its start. This means choice B is the correct choice.
Answer:
Step-by-step explanation:
y - 9 = -2(x - 1)
y - 9 = -2x + 2
y = -2x + 11
Answer:
4.821 ounces
Step-by-step explanation:
To figure out the amount that is <em>not </em>apple juice, you have to subtract the amount of apple juice, 1.729 ounces, from the total amount of mixed fruit juice, 6.55 ounces, to get the remainder of 4.821 ounces.
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014
