\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}
{
3x+5y=2
9x+11y=14
∣⋅(−3)
−9x−15y=−6
9x+11y=14
add both sides of equations
. −4y=8 ∣:(=4)
. y=−2
substitute the value of y to the first equation
3x+5⋅(−2)=2
3x−10=2 ∣+10
3x=12 ∣:3
x=4
Answer: x=4; y=−2→(4; −2)
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
Answer:
Step-by-step explanation:
32+(-10)
32-10
22 is not equal to 0
so its false
Take his now weight which is 180.4. Divide it by 0.82 because 18% off is 82%. So 180.4/0.82= 220 pounds