0-13/(7+14)= -13/21. is the slope
Answer:
a) (-25)(4)
Step-by-step explanation:
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. In this case,
withdrew means no longer there which means subtracted.
Then, times mean multiply.
Therefore, -minus twenty-five times (x) four
combine them and it equals (-25)(4)
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by: , where r is the radius.
The volume of a cylinder is denoted by: , where r is the radius and h is the height. Plug in 2r for h and 18 for V:
Now plug in 9 for πr³ in the volume formula for the sphere:
The volume of the sphere is 12 cm³.
Answer:
The area of the shape after it has been enlarged by
scale factor 2 will be: 10 cm²
Step-by-step explanation:
The Area is basically a measure of how much space in square units there is inside an object.
As the shape is shown on the centimeter grid.
- The shape clearly occupies the space of 5-centimeter squares.
We also know that If the scale factor > 1, the image is enlarged.
As we know to determine the area of the shape after it has been enlarged by scale factor 2, all we need to do is to multiply the area of the original shape by 2.
The area of original shape = 5 cm²
The area of the shape after the dilation by a scale factor 2 = 5 × 2 = 10 cm²
Thus, the area of the shape after it has been enlarged by
scale factor 2 will be: 10 cm²
The correct answer is 12 teeth
Explanation:
The ratio represented by the diagram is 6:1 or 6/1, this means, for each 6 teeth in the larger gears there is only 1 in the smaller gear. Now, to find the number of teeth if the larger gear is 72 the best is to use cross multiplication. The process is shown below:
1. Write the known values, and use x to represent the value missing
2. Use cross multiplication, and then division to find x
3. Solve the operation