Answer:
Q' (-3,4)
Step-by-step explanation:
A reflection across the x-axis would mean that only the x value of the point would change. This means that the y value would still be 4. To find the x value, just flip it to a negative. The negative of 3 is -3
So, just divide:
52.50 / 6 = 8.75
This means that she earns $8.75 an hour.
If this is her hourly salary, then multiply 8.75 x 11
8.75 x 11 = 96.25
So, if Paula works for 11 hours, she will earn $96.25!
Answer:
13, 18, 72
Step-by-step explanation:
let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.
set up an equation, and make it equal to 103:
x-5+x+4x=103
solve:
6x-5=103
6x=108
x=18
so, the third number is 18.
the first number is equal to x-5, so:
18-5=13
the second number is equal to 4x, so:
4(18)=72
so, the three numbers are 13, 18, and 72.
Answer:
7√6 - 5√7
Step-by-step explanation:
5√7 + 12√6 - 10√7 - 5√6 (rearranging)
= (5√7 - 10√7) + (12√6 - 5√6) (factor out √6 and √7 respectively)
= (5 - 10) √7 + (12 - 5)√6
= -5√7 + 7√6 (rearrange)
= 7√6 - 5√7
Answer: The correct option is D, i.e., 15 units.
Explanation:
It is given that the length of segment TR can be represented by 5x-4.
From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,
The value of x is 3, so the length of side RV is,
In triangle TRS and angle VRS,
TR=VR
RS=RS (common side)
By SAS rule of congruence triangle,
Therefore the side TS and VS are congruent sides.
From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.
Hence, the length of side VS is 15 units and option D is correct.
