<u>Given</u>:
Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: 
- C' = (–6, –5)
- D' = (–6, –3)
- E' = (–4, –3)
- F' = (–4, –5)
<u>Translation</u>:
Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.
C'(–6, –5)
ㅤㅤ= C'(–6 + 2, –5 + 8)
ㅤㅤ= C'(–4, 3)
D'(–6, –3)
ㅤㅤ= D'(–6 + 2, –3 + 8)
ㅤㅤ= D'(–4, 5)
E'(–4, –3)
ㅤㅤ= E'(–4 + 2, –3 + 8)
ㅤㅤ= E'(–2, 5)
F'(–4, –5)
ㅤㅤ= F'(–4 + 2, –5 + 8)
ㅤㅤ= F'(–2, 3)
<u>Final </u><u>answer</u>:
- C' = (–4, 3)
- D' = (–4, 5)
- E' = (–2, 5)
- F' = (–2, 3)
Answer: −12y+30z
Step-by-step explanation:
5(-3y+3z)-3(-5z-y) Expand by distributing terms.
−15y+15z−3(−5z−y) Expand by distributing terms.
−15y+15z−(−15z−3y) Remove Parentheses
−15y+15z+15z+3y Collect like terms & Simplify
(−15y+3y)+(15z+15z)
=−12y+30z
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Answer:
0.24999999 as a fraction equals 24999999/100000000
Step-by-step explanation:
To write 0.24999999 as a fraction you have to write 0.24999999 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
Answer:
125
Step-by-step explanation:
In ΔPTO we are given that
∠PTO = 90° (indicated by the right angle)
and ∠TPO = 35°
And we need to find the exterior angle (∠TOB)
If you didn't know this is the rule about exterior angles
Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle
So more specifically for this problem
∠TOB = ∠PTO + ∠TPO
Now that we have created an equation we want to plug in the values that we are given
∠TOB = 90 + 35
90 + 35 = 125
Therefore the answer is 125
