Is the following a proportion? Yes or no? 6/9 = 14/21
1 answer:
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Answer:
B. x = 7, y = 4√2
Step-by-step explanation:
Drop a vertical from the upper left corner
This creates a rectangle and a 45-45-90 triangle
The bottom of the rectangle is 3
The legs of the triangle are 4
Therefor
x = 4 + 3
x = 7
For a 45-45-90 triangle
the hypotenuse = leg * √2
y = 4√2
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:
The formula to calculate the slope is the following:
The points are (-6, -9/2) and (4,3), replacing:
The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:
The equation is:
Therefore, the true statements are:
• Both functions have the same slope
,• The linear equation does not have a y-intercept
,• The table and the grahp express an equivalent function
Answer:
Option A. and
Step-by-step explanation:
we know that
The solution of the first inequality is the shaded area below the solid line
The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)
therefore
The first inequality is
The solution of the second inequality is the shaded area to the right of the solid line x=0
therefore
The second inequality is