3. Translation that is 6 units to the left and 5 units up translate the point (x,y) into the point (x-6,y+5).
<u>Example:</u> if you translate the origin (0,0) 6 units to the left and 5 units up, then you obtain point (-6,5).
Answer 3: correct choice is D.
4. A reflection across the y-axis changes the x-values into opposite and y-values remain the same. Then the rule is (x,y)→(-x,y).
<u>Example:</u> if you reflect the point (2,3) across the y-axis, then you get the point (-2,3).
Answer 4: correct choice is B.
Answer:
10x² - 12
Step-by-step explanation:
4x² - 7 + 6x² - 5 (combine like terms)
10x² - 12
Step-by-step explanation:
N = 0.733t + 8.398
N = 0.733(1971) + 8.398
N = 1,453.141
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
<h3>How to calculate arithmetic progression?</h3>
The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
- a = first term
- Un = sum
- n = no of terms
- d = common ratio
100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
Learn more about arithmetic progression at: brainly.com/question/20385181
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