The equation of the line containing the points (20,28) and (25,38) is
y = 2x ₋ 12.
Given the points are: (20,28) and (25,38)
First find the slope of the line passing through the given points.
we know that (x₁,y₁) and (x₂,y₂) is m = y₂ ₋ y₁/x₂ ₋ x₁
therefore the slope of line passing through the points (20,28) and (25,38) is:
m = 38 ₋ 28/25 ₋ 20
m = 10/5
m = 2
Consequently, the line's slope is 2.
Find the y-intercept now by using the slope and one of the two points.
y = mx ₊ b
28 = 2(20) ₊ b
28 = 40 ₊ b
28 ₋ 40 = b
b = ₋12
Next, represent the equation in slope-intercept form as follows:
y = mx ₊ b
y = 2x ₋ 12
hence the equation of the line is y = 2x ₋ 12.
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Answer:
D. 6
Step-by-step explanation:
One-pound bags sell for $2
Three-pound bags sell for $5
9 bags were sold for $36
6*$5=$30 (three pound bags)
3*$2=$6 (one pound bags)
$30+$6=$36
So 6 of the three-pound bags were sold
Answer:
28 days
Step-by-step explanation:
You multiply 7 by 4 for find the number of days in 4 weeks, since 1 week is 7 days: 7 × 4 = 28.
Hope this helps!
Answer:
Angle DGF = DEF
Step-by-step explanation:
Since all the angles are congruent in the diagram and the hypothenuses are both congruent, it makes the other triangle, DEF congruent to DGF.
In other words, sense all 3 angles are congruent and they share a side, DEF is congruent to DGF.
Given:
The inequality is
To find:
The correct representations of the given inequality.
Solution:
We have,
Using distributive property, we get
Therefore, the correct option is C.
Isolate variable terms.
It means, the value of x is greater than 5.
Since 5 is not included in the solution set, therefore, there is an open circle at 5.
So, the graphical represents of the solution is a A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Therefore, the correct option is D.
