Answer:
5x + 9y ≤ 32
Step-by-step explanation:
Each cassette tape costs $5 and each CD costs $9
Let x represent the number of tapes and y the number of CDs.
The cost of the cassettes is the number of cassettes times the cost per cassette and the cost of the tapes is the number of tapes times the cost per tape. We add these together to get the total cost. The total cost must be less than or equal to 32
32≥5x+9y
Answer:
Check pdf
Step-by-step explanation:
Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1
<h3>How can the prove that the product of the slopes is -1 be found?</h3>
The completed proof is presented as follows;
The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.
<FCD = <FCG + <GCE + <ECD <u>by angle addition property </u> <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the <u>subtraction property of equality </u> . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since <u>the ratio of corresponding sides of similar triangles are equal</u> then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the <u>multiplication property of equality </u> to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.
Learn more about perpendicular lines here:
brainly.com/question/20475360
#SPJ1
Make a line of best fit then find the slope and y intercept. put it into the y=mx + b form.
m=slope
b=y intercept
B.
0.7p = p – 250
(because they took 30% off the price which means it was selling for 70% the original price, which is the same as the price reduced by $250)
