Answer:
The point-slope form would be y - 4 = x - 2
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope. For that, we use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we plug the numbers into the equation.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (4 - -1)/(2 - -3)
m (slope) = 5/5
m (slope) = 1
Now we can use point-slope form along with the slope and either point to write the equation.
y - y1 = m(x - x1)
y - 4 = (x - 2)
Answer:
(I am assuming this is just approximation since there are no other numbers, just to be clear :))
Algebra: about 450 students
Geometry: about 250 students
Calculus: about 50 students
Answer:
QS=51
Step-by-step explanation:
It was given that RS = 19 and QR =32
QS=x
Q-R was measured and found to be 32
R-S was measured and found to be 19
Q-S will be the sum of Q-R and R-S which is 32+19= 51
QS=51
Answer:
21.4 m²
Step-by-step explanation:
To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.
Let's start with the triangles. The area of any triangle is . The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.
So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:
Now let's find the area of the sides.
The side lengths are 2 and 3, so
, and there are 3 sides (including the bottom/floor) so .
Now we add.
m².
Hope this helped!
Answer:
The equation is
Step-by-step explanation:
The exponential growth equation is , where
- a is the initial value (value y at x = 0)
- r is the rate of increasing in decimal
∵ The value of gold is appreciating 18% every hour
∴ r = 18%
∵ 18% = = 0.18
∴ r = 0.18
∵ The gold coin was worth $40 at the beginning of the crisis
∴ The initial amount is $40
∴ a = 40
∵ y represents the value of the gold after x hours
∴
- Substitute the values of a and r in the form above
∴
∴
The equation is