1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
posledela
2 years ago
15

Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.

Mathematics
2 answers:
ZanzabumX [31]2 years ago
8 0

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

saveliy_v [14]2 years ago
5 0

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

You might be interested in
What is 2 1/4 ÷ 1/2=​
marshall27 [118]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

2\frac{1}{4} ÷ \frac{1}{2} = \frac{9}{4} ÷ \frac{1}{2}

Now use K C F method

K - Keep the first fraction

C - Change  the division operation to multiplication

F- Flip the second number

          = \frac{9}{4} *\frac{2}{1}\\\\= \frac{9}{2}*1\\\\= \frac{9}{2}\\\\= 4 \frac{1}{2}

4 0
2 years ago
Gina has a box of pens that contains 10 red pens, 8 blue pens, and 2 green pens. She will randomly take out apen, write down the
Hatshy [7]

10 red

8 blue

2 green

Total number = 20

Probability that Gina takes a red pen = number of red pens divided by the total = 10/20 = 0.5 = 50%

If she repeats the event, the second time the probability is the same: 0.5 = 50%

Probability of two events = probability of the first one multiplied by the probability of the second = 0.5 x 0.5 =0.25 = 25%

Answer:

Probability = 0.25 = 25%

5 0
1 year ago
The school football team needs to raise at least $850 to buy new practice equipment. The team received a donation of $125 and al
navik [9.2K]

Answer:

182

Step-by-step explanation:

850-125=725

725/4=181.25

So you need at least 182 tickets sold.

4 0
2 years ago
Claire says that she can draw an obtuse equilateral triangle. Is she correct? Explain.
notka56 [123]
No, because an equilateral triangle is also equiangular so all sides must be 60° (60+60+60=180) and an obtuse angle is more than 90° so the triangle would not be equilateral.

Hope I Helped (:
7 0
3 years ago
Read 2 more answers
Mix coffee machine has been so self or $.72 a pound and beans that sell for $.52 if 110 pounds of beans create and make sure wor
LiRa [457]
$57.2 dollars for 110 pounds of beans 
3 0
3 years ago
Other questions:
  • Which of these is equivalent to the following expression? 11w + 12w A.33w B.23w C.1w D.123w
    10·2 answers
  • The class collected 3,591 bottle caps in 57 days. The same number of bottle caps were collected each day. How many bottle caps d
    10·1 answer
  • Which is the best estimate for the quotient of 203.12 รท 48.011?
    12·1 answer
  • Comparing symbols in a picture graph
    15·2 answers
  • I will give brainliest answer
    13·2 answers
  • Given the similar triangles below find the missing length
    9·2 answers
  • Write the equation of the line in standard form <br><br> 4xy + 2y = 9
    15·1 answer
  • Divide: 6 ÷ 1/2=12
    14·2 answers
  • Which is a true statement about angles 1 and 2? O the two angles are supplementary
    8·1 answer
  • IF THREE DIAGONALS ARE DRAWN INSIDE A HEXAGON WITH EACH ONE PASSING THROUGH THE CENTER POINT OF THE HEXAGON, HOW MANY TRIANGLES
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!