Answer:
equation of the line is y=x+1
Step-by-step explanation:
the equation of a line has the form y = mx + b
while m is for the slope and b is for the y-intercept.
you can see from the graph that the line intercepts the y-axis at y=1 this is the b.
you can get the slope of the graph by taking two points from the graph lets say (1, 2) and (3, 4) then using this formula:
<h2>

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in our case it will be:

then just substitute the values for m and b.
Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
__
Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
The diagonal of the rectangular solid is 
Explanation:
The length of the rectangular solid is 
The width of the rectangular solid is 
The height of the rectangular solid is 
We need to determine the diagonal of the rectangular solid.
The diagonal of the rectangular solid can be determined using the formula,

Substituting the values
,
and
, we get,

Squaring the terms, we get,

Adding the terms, we have,

Simplifying, we have,

Thus, the diagonal of the rectangular solid is 
Answer:
$3 and $2
Step-by-step explanation:
let p represent popcorn and d drinks , then
2p + 3d = 12 → (1)
3p + 5d = 19 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate p
6p + 9d = 36 → (3)
- 6p - 10d = - 38 → (4)
add (3) and (4) term by term to eliminate p
0 - d = - 2
- d = - 2 ( multiply both sides by - 1 )
d = 2
substitute d = 2 into either of the 2 equations and solve for p
substituting into (1)
2p + 3(2) = 12
2p + 6 = 12 ( subtract 6 from both sides )
2p = 6 ( divide both sides by 2 )
p = 3
Popcorn costs $3 and a drink costs $2