Answer:
The reflection image of (5, -3) across the line y = -x is (3, -5).
Step-by-step explanation:
You can find the reflection equation by putting the value of x and y in the line given one by one.
Yes. hope this is helpful
Answer:
To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.
Answer:
1296 orders
Step-by-step explanation:
There is a pattern to his orders.
First, he starts with 6.
Second, he made 36.
Third, he made 216.
From here, the pattern can be identified. And, you can extend it further.
Pattern - x · 6
x = the orders.
6, 36, 216
6 (September) × 6 = 36 (October)
36 × 6 = 216 (November)
216 × 6 = 1296 (December)
Answer:
5
Step-by-step explanation:
Apply Pythagorean theorem
