well, you can figure it out by substituting the x and y values into the equation and then solving
4=2(4)-4
4=8-4
4=4 so yes the point (4,4) does lie on the line y=2x-4
Answer:
<u>Useful for this exercise:</u>
- Sum of interior angles of a triangle is 180°
- Straight angle is 180°
- Angle addition postulate
<u>Finding missing angles:</u>
- m∠1 = 180° - (57° + 72°) = 51°
- m∠2 = 90° - 72° = 18°
- m∠3 = 180° - 57° = 123°
- m∠4 = 180° - (18° + 123°) = 39°
Answer:
Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.
Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7
Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49
Add.
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
Answer:
2 layers.
Step-by-step explanation:
there are 24 cubes on the first layer.
48/24=2 layers