Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
So, the right option is 1. so if my ans was helpful u can follow me.
Answer: 5n = 3d and 3n + 6 = 2d + 4
Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.
We are to select the system of equations that could be used to solve the problem.
Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:
n/d = 3/5
5n = 3d
<h3>and</h3>
(n+2)/(d+2) = 2/3
3(n+2) = 2(d+2)
3n + 6 = 2d + 4
Thus, the required system of equations is,
5n = 3d and 3n + 6 = 2d + 4
Brainliest pweaseee if the answer is clear and correct! <3 ~~~
Answer:
20π sq ft ≈ 62.83 sq ft
Step-by-step explanation:
Area of table with diameter 8 ft = π*8^2/4 = 16π
Area of table with diameter 12 ft = π*12^2/4 = 36π
Difference between the area of the tables ;
= 36π - 16π
= 20π sq ft ≈ 62.83 sq ft ( π = 3.14)
To find the slope<span> and y </span>intercept<span>, use the </span><span>y=mx+b</span> formula<span> where </span>m<span> is the </span>slope<span> and </span>b<span> is the y </span>intercept<span>.
</span><span>y=mx+b
</span>Pull the values of m<span> and </span>b<span> using the </span><span>y=mx+b</span> formula<span>.
</span><span>m=<span>7/2</span>,</span><span>b=−2</span><span> where m is the </span>slope<span> and b is the </span>y-intercept
