Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is
.
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that
and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is:
,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
Answer:
Bc=20
Step-by-step explanation:
Sin61=BC/AC=BC/23
BC=23sin61=20
we have
![R=5(c/a-0.3)](https://tex.z-dn.net/?f=R%3D5%28c%2Fa-0.3%29)
Solve for c--------> that means that clear variable c
so
Divide by
both sides
![R/5=(c/a-0.3)](https://tex.z-dn.net/?f=R%2F5%3D%28c%2Fa-0.3%29)
Adds
both sides
![(R/5)+0.3=(c/a)](https://tex.z-dn.net/?f=%28R%2F5%29%2B0.3%3D%28c%2Fa%29)
Multiply by
both sides
![a[(R/5)+0.3]=c](https://tex.z-dn.net/?f=a%5B%28R%2F5%29%2B0.3%5D%3Dc)
so
![c=a[(R/5)+0.3]](https://tex.z-dn.net/?f=c%3Da%5B%28R%2F5%29%2B0.3%5D)
therefore
<u>the answer is</u>
![c=a[(R/5)+0.3]](https://tex.z-dn.net/?f=c%3Da%5B%28R%2F5%29%2B0.3%5D)
Answer:
C
Step-by-step explanation:
Since EF and GH are parallel lines then
∠EGF = ∠GFH = 60° ( Alternate angles )
Answer:
number of servings = 5 servings
Explanation:
We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:
1 serving ....................> 3/10 pint
?? servings ................> 1.5 pints
number of servings = (1.5*1) / (3/10)
number of servings = 5 servings
Hope this helps :)