9514 1404 393
Answer:
Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
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<em>Explanation</em>
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
Answer:
Step-by-step explanation:
<u>x is side of right triangle with other sides:</u>
<u>Then x is:</u>
- x² = √20² - 4²
- x² = 4
- x = 2
The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)
An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)
So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
Answer:
y = 1/2 x + 3
Step-by-step explanation:
the positive 3 is the y intercept and the positive 1/2 is rise over run up-1 & 2 to the right
Answer:
-1
Step-by-step explanation:
Move the +16 onto the other side. We now have 52 = -52x. Divide each side by 54 to get x = -1.