The x intercept is when y=0, in this case ax=c =>x=c/a
the y intercept is when x=0, in this case by=c =>y=c/b
the slope: by=-ax+c =>y=(-a/b)x+(c/b), so the slope is -a/b, the y intercept is c/b, which matches the answer in the second line.
X = y + 5
(x + y) = 3y - 3
y + 5 + y = 3y - 3
2y + 5 = 3y - 3
5 + 3 = 3y - 2y
8 = y
x = y + 5
x = 8 + 5
x = 13
ur numbers are : 8 and 13
Answer:
First box-time
Second box-distance
Third box-correlation
Step-by-step explanation:
Horizontal is along the bottom.
Vertical in going up.
Correlation shows the relation between the horizontal and vertical axis.
Divide your shape into two different shapes. a cube and a rectangular prism.
the cube has the measurements of 20*20*20 giving it a volume of 8000 inches^3
the rectangular prism has the measurements of 40*30*20 giving it a volume of 24000 inches^3
now add them together to get 32,000 inches^3 as your answer
Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]