Answer:
Step-by-step explanation:
Let the number = x
Read carefully the sentence part beginning with 4 times larger
4* something
4 times larger than the square of 1/2 the number
4 * (x/2)^2
4*(x/2)^2 = x
4*x^2/4 = x
x^2 = x be very careful how you handle this. It looks like 0 might be an answer, but it isn't. If you divide x on both sides and you allow 0, you will get 0 / 0 and that is undefined. You must exclude that possibility with some sort of statement.
x cannot be 0.
x^2/x= x/x
x = 1
Answer:
The ratio of boys to girls is 4/3.
Step-by-step explanation:
Hi, to answer this question we have to use the number of boys as the numerator and the number of girls as the denominator.
The number of girls is: number of students - number of boys
Replacing with the values given:
<em>70 - 40 =30 girls
</em>
So, the ratio is:
40 /30
Simplifying:
4/3
In conclusion, the ratio of boys to girls is 4/3.
Feel free to ask for more if needed or if you did not understand something.
Answer:
The answer is -5 and 5 because when you do absolute value if there is a negative number then it turns into a positive number. Negatives will always turn out as positives when doing absolute value. :)
Step-by-step explanation:
Answer:
Option (4)
Step-by-step explanation:
Slope a line passing through two points
and
is given by,
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Since, blue line is passing through two points (-4, -2) and (0, 4),
Slope of the blue line = ![\frac{4+2}{0+4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2B2%7D%7B0%2B4%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Similarly, green line is passing through two points (-4, 1) and (0, -2),
Slope of the green line = ![\frac{1+2}{-4-0}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B2%7D%7B-4-0%7D)
= ![-\frac{3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D)
Since, ![\frac{3}{2}\neq -\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Cneq%20-%5Cfrac%7B3%7D%7B4%7D)
Neither these slopes are opposite reciprocals.
Therefore, both the lines are neither parallel nor perpendicular.
Option (4) will be the correct option.
Angle 4 is 150 because is is corresponding to angle 2