Step-by-step explanation:
<span>x − 9y ≤ 1
</span>Because If you solve the equation y will be greater than ...
<span>x − 9y ≤ 1
Solve for y...
Subtract x from both sides...
- 9y </span>≤<span> - x + 1
Divide both sides by -9
REMEMBER WHEN DIVIDING OR MULTIPLYING BY A NEGATIVE NUMBER FLIP THE INEQUALITY SIGN....
y </span><span> ≥ x/9 - 1/9</span>
Answer:
Volume of the rectangular prism = 280 cubes
Volume of the rectangular prism = (280/27) yd³
Step-by-step explanation:
length 3 and one third yd = 3 + (1/3) yd = (10/3) yd
width 2 and one third yd = 2 + (1/3) yd = (7/3) yd
height 1 and one third yd = 1 + (1/3) yd = (4/3) yd
Cubes of edge length (1/3) yd are used to fill the rectangular prism.
The length would contain (10/3) ÷ (1/3) = 10
The width would contain (7/3) ÷ (1/3) = 7
The height would contain (4/3) ÷ (1/3) = 4
Volume of the rectangular prism = 10×7×4 = 280 cubes
Or
Volume of rectangular prism = (10/3)(7/3)(4/3) = (280/27) yd³
Length of the perpendicular ( opposite ) = 6 cm.
Length of the base ( adjacent ) = 8 cm.
The smallest angle of the triangle.
✅
In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.
Since the value of opposite and adjacent sides are given, we use the tangent formula.
tan θ = 
✒ tan θ = 
✒ θ = 
(0.75)
✒ θ = 36.9°
✒ θ = 37°
Now let us find the other unknown angle 'x'.
We know that,
Sum of angles of a triangle = 180°
✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)
✒ x + 127° = 180°
✒ x = 180° - 127°
✒ x = 53°
Therefore, the three angles of the triangle are 37°, 53° and 90°.
Hence, the smallest angle is 37°.
9514 1404 393
Answer:
(x, y) ⇒ (x -5, y +3)
Step-by-step explanation:
Pick a point on the original polygon. The extreme left point (at (1, 0)) will do.
Locate the corresponding image point on ABCDE. (It is point B(-4, 3).) Using coordinates, or counting grid squares, determine what must be added to the original point to get the image point.
Here, that addition is 5 squares left and 3 squares up:
image - original = (-4, 3) -(1, 0) = (-5, 0)
So, the transformation rule adds -5 to each x-coordinate and 3 to each y-coordinate:
(x, y) ⇒ (x -5, y +3)
