A point has a positive x and y coordinate- answer is Quadrant I
Answer:
The equation of the line that passes through the points (-6, -8)and (-3, -3) is
5 x - 3 y + 6 =0
Step-by-step explanation:
<u>Step(i):</u>-
Given points are ( -6 ,-8) and ( -3 ,-3)
Slope of the line
<u><em>Step(ii)</em></u><em>:</em>-
Slope -point form
cross multiplication, we get
3(y +8 ) = 5(x+6)
3 y +24 = 5 x +30
5 x - 3 y +30 -24 =0
5 x - 3 y + 6 =0
<u><em>Final answer</em></u>:-
The equation of the line that passes through the points (-6, -8)and (-3, -3) is
5 x - 3 y + 6 =0
Answer:
Step-by-step explanation:
1/2(13-5)+(4+8)^2
A. 148
B. 144
C. 20
D. 16
We must follow "PEMDAS" order of operations rules. Anything inside parentheses must be done first, followed by exponentiation, multiplication and division, and finally additionl and subtraction.
1/2(13-5)+(4+8)^2 has three sets of parentheses enclosing mathematical expressions: (1/2), (13 - 5) and (4 + 8). These evaluate to:
1/2, 8, 12
and so we now have (1/2)(8) + (12)^2
Exponentiation is next. We get: (1/2)(8) + 144
Next is multiplication: 4 + 144
Last is addition: 148
Answer A is correct: 148
8 x 9+4^2-(63/7)
is evaluated in the same way:
8 x 9+4^2-(9), followed by exponentiation:
8*9 + 16 - 9, followed by multiplication:
72 + 16 - 9 = 79 (Answer C)
Answer:
b. A''(7, 5), B''(2, 5), C''(4, –1)
Step-by-step explanation:
Given vertices of ΔABC:
- A = (-1, 0)
- B = (4, 0)
- C = (2, 6)
Translation <u>mapping rule</u>:
(x, y) → (x – 6, y – 5)
Therefore:
- A' = (-1 - 6, 0 - 5) = (-7, -5)
- B' = (4 - 6, 0 - 5) = (-2, -5)
- C' = (2 - 6, 6 - 5) = (-4, 1)
Rotation of 180° clockwise rule:
(x, y) → (-x, -y)
Therefore:
- A'' = (-7, -5) = (7, 5)
- B'' = (-2, -5) = (2, 5)
- C'' = (-4, 1) = (4, -1)
Learn more about transformations here:
brainly.com/question/28354239
brainly.com/question/27743837
Nearest hundred thousand: 100,000
Nearest ten thousand: 130,000
Nearest thousand: 127,000
The closest rounded amount to the actual attendance is the nearest thousand, 127,000.
