Answer:

Step-by-step explanation:
Given
Points (-2,0) and (-3,-1)
Required
Equation of Line
The first step is to determine the slope of the line; using the following formula


becomes




The next is to determine the equation of the line using any of the points
The formula is as thus;

Using 




Multiply both sides by x + 2




Subtract x from both sides


Hence, the equation of the line in standard form is 
Answer:
x≥26667
Step-by-step explanation:
let x= her sales
so the money she gets from her sales is .03x
if we wants at least 2900 we can write
2100+.03x≥2900
Solve for x
.03x≥800
x≥26666.6667
round up (because you can make a fraction of a sale) to get
x≥26667
Considering the area of the right triangle, it is found that Salome used a scale factor of 1/2 to go from triangle R to triangle T.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
In this figure, we have that the sides have lengths of 4 and 5 units, hence the area is given by:
A = 0.5 x 4 x 5 = 10 square units.
The area is one fourth of the area of triangle R. Since we are dealing with an area, that works in squared units, the scale factor is given by:
S = sqrt(1/4) = 1/2.
Hence Salome used a scale factor of 1/2 to go from triangle R to triangle T.
More can be learned about the area of a right triangle at brainly.com/question/28230160
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Answer:See below
Step-by-step explanation:
These angles are equal. All that needs to be done is setting the equations as equal and solving for the variables. Once the variables are found, input them back into the equation to find the angles. Once the variables are put into both equations, the result should be equal.
Answer:
Smoothie = 3
Ice cream = 1.5
Step-by-step explanation:
2s + i = 7.5
3s + 2i = 12
subtract the equations
(3s + 2i) - (2s + i) = s + i
s + i = 4.5
2s + i = 7.5, so s must equal 3 (7.5 - 4.5)
If s = 3, then i is 1.5 (4.5 - 3.5)
To check, plug 3 and 1.5 into s and i.
2(3) + 1.5 = 7.5
6 + 1.5 = 7.5
7.5 = 7.5
3(3) + 2(1.5) = 12
9 + 3 = 12
12 = 12