Answer: 38
Step-by-step explanation:
Since the polygons are similar, the corresponding sides are all in the same proportions.
x-2/4.5 = 16/2 = 48/6
<u>Solving for x</u>
Therefore, the value of x is 38
Answer:
Hi there, you can use Pitagoras relationship to solve this up (Without using any other "tool".
Point A is located wheter in (-6,8) or could be located in (-6,8)
Step-by-step explanation:
Point A is 10 units away from the origin, and its x coordinate is -6, using this information, you can draw a triangle from 0 to -6 (the basis) and using 10 as the hypotenuse, so, you have this equation:
solving for Y variable, you have this
y=±
Note the combined sing ±, meaning that y=8 is a valid answer and that y= -8 is also a valid answer.
Hope It helps
Answer:
36
Step-by-step explanation:
–12i × 3i
Multiply the numbers
-12*3 = -36
Multiply the imaginary number
i*i= i^2
We know i^2 = -1
-36 * -1 = 36
Let's first put 8/9 and 5/12 in simplest form.
We need to have the denominators at the same value by find the greatest common multiple.
The GCM of 9 and 12 is 36. By making both denominators 36, we also have to change the numerator.
36/9 is 4 so the numerator of 8/9 has to be multiplied by 4, making that 32/36.
36/12 is 3 so the numerator of 5/12 has to be multiplied by 3, making that 15/36.
Now, that we have the same denominators, we can subtract.
32/36-15/36 can be done simply by just subtracting the numerators together. Remember, the denominators stay the same.
32/35-15/36 = 17/36
Since there is no least common multiple of 17 and 36, then 17/36 is the final answer.
<h3><u>X is less than or equal to 2.</u></h3>
3x - 6 + 2 ≥ 5x - 8
<em><u>Subtract 3x from both sides.</u></em>
-6 + 2 ≥ 2x - 8
<em><u>Combine like terms.</u></em>
-4 ≥ 2x - 8
<em><u>Add 8 to both sides.</u></em>
4 ≥ 2x
<em><u>Divide both sides by 2.</u></em>
x ≤ 2
