9514 1404 393
Answer:
C. 6
Step-by-step explanation:
XY/AB = 30/5 = 6
Triangle ABC is scaled by a factor of 6 to make triangle XYZ.
Answer:
(1, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 3
y = -3x + 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 3 = -3x + 6
- [Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
- [Division Property of Equality] Divide -3 on both sides: 1 = x
- Rewrite/Rearrange: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3(1) + 6
- Multiply: y = -3 + 6
- Add: y = 3
Answer: 3/5
Step-by-step explanation:
concept to know: the slope of perpendicular line is always opposite reciprocal
----------------------
Step 1. Find the slope of line t
(y2-y1)/(x2-x1)
=(4-9)/(10-7)
=-5/3
-------------------
Step 2. Apply the concept
Opposite reciprocal of (-5/3)=3/5
Hope this helps!! :)
Please let me know if you have any question
Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0
Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -5%2F2, this means:
rise%2Frun=-5%2F2
which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2
So starting at , go down 5 units
and to the right 2 units to get to the next point
Now draw a line through these points to graph y=-%285%2F2%29x
So this is the graph of y=-%285%2F2%29x through the points
Hope this helps
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