Answer:
y intercept = ![(0, ~-\frac{5}{2} )](https://tex.z-dn.net/?f=%280%2C%20~-%5Cfrac%7B5%7D%7B2%7D%20%29)
x intercept = ![(-2, ~0)](https://tex.z-dn.net/?f=%28-2%2C%20~0%29)
.
Step-by-step explanation:
![-5x - 5y = 10](https://tex.z-dn.net/?f=-5x%20-%205y%20%3D%2010)
.
y intercept
![\to x = 0](https://tex.z-dn.net/?f=%5Cto%20x%20%3D%200)
![-5(0) - 4y = 10](https://tex.z-dn.net/?f=-5%280%29%20-%204y%20%3D%2010)
![-4y = 10](https://tex.z-dn.net/?f=-4y%20%3D%2010)
![y = \frac{10}{-4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B10%7D%7B-4%7D)
![y = -\frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B5%7D%7B2%7D)
so, the answer is ![(0, ~-\frac{5}{2} )](https://tex.z-dn.net/?f=%280%2C%20~-%5Cfrac%7B5%7D%7B2%7D%20%29)
.
x intercept
![\to y = 0](https://tex.z-dn.net/?f=%5Cto%20y%20%3D%200)
![-5x - 4(0) = 10](https://tex.z-dn.net/?f=-5x%20-%204%280%29%20%3D%2010)
![-5x = 10](https://tex.z-dn.net/?f=-5x%20%3D%2010)
![x = \frac{10}{-5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B10%7D%7B-5%7D)
![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
so, the answer is ![(-2, ~0)](https://tex.z-dn.net/?f=%28-2%2C%20~0%29)
.
Happy to help :)
Answer: Distance between Sarah's house and Amy's house is 7.6 miles.
Step-by-step explanation:
Since we have given that
Distance at which Sarah lives west of Peter= 4 miles
Distance at which Amy lives south of Peter = 6.5 miles
Now, we need to find the distance between Sarah's house to Amy's house,
We'll use Pythagorus theorem,
![H^2=B^2+P^2\\H^2=4^2+6.5^2\\H^2=16+42.25\\H^2=58.25\\H=\sqrt{58.25}\\H=7.6](https://tex.z-dn.net/?f=H%5E2%3DB%5E2%2BP%5E2%5C%5CH%5E2%3D4%5E2%2B6.5%5E2%5C%5CH%5E2%3D16%2B42.25%5C%5CH%5E2%3D58.25%5C%5CH%3D%5Csqrt%7B58.25%7D%5C%5CH%3D7.6)
So, Distance between Sarah's house and Amy's house is 7.6 miles.
Answer:
20
Step-by-step explanation:
One pattern is that we are adding one row and one column for each step.
The first step has 1 row and 2 columns,
the second one has 2 rows and 3 columns,
and the third has 3 rows and 4 columns.
Thus, it would make sense for the fourth step to have 4 rows and 5 columns. This makes a rectangle with a length and a width, with the area of the rectangle being length * width. 4 * 5 = 20 as our number of dots
Answer:
4
Step-by-step explanation:
If two variables are proportional then
...(i)
where, k is constant of proportionality.
The given equation is
...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable:
Dependent variable:
Constant of proportionality:
Therefore, the constant of proportionality is 4.
1)
Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be:
m=(y₂-y₁)/(x₂-x₁)
Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be:
m=(-1-4) /(2+3)=-5/5=-1
Answer: The slope would be -1.
2)
slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercept
Therefore:
m=2
b=y-intercept=-4
The line would be: y=2x-4
answer: the equation of this line would be: y=2x-4