We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer:
16
Step-by-step explanation:
6.8
+9.2
______
16
Hope I helped!
<h2>Numerical expressions are numbers and signs, like below. The following are some examples of numerical expressions, numerical expressions do not use letters.
4 + 20 – 7, (2 + 3) – 7, (6 × 2) ÷ 20, 5 ÷ (20 × 3)
An algebraic expression uses letters and it says you to find "x/y/z".
Example;
4+20xy-7x, (2x+3) - 7y+20.</h2>
Answer:
12/5 - 2p
Step-by-step explanation:
Use the distributive property:
2/5 * 6 - 2/5 * 5p = 12 / 5 - 2p
Answer:
It will be worth 16k in 10 years
Step-by-step explanation:
divide 20k by 100
1% = 200 dollars
200 x 8 gives you 1.6k
1.6k x 10 = 16k
