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
Marianna [84]
3 years ago
12

The sides of a triangle are given by the equations 4x-y-7=0,x+3y-31=0 and x+5y-7=0.determine the point of intersection of its al

titudes
details: class 12,algebra,
title of chapter:
the general equations of straight lines.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0
Hello,

1)Let's call A=inter (4x-y-7=0, x+3y-31=0)
4x-y=7
x+3y=31
==>13x=52==>x=4
and y=4*4-7=9

A=(4;9)

 
2)Let's call B=inter (4x-y-7=0, x+5y-7=0)

4x-y=7
x+5y=7
==>21x=42
==>x=2 and y=4*2-7=1

B=(2,1)

3) Slope of BD: y=-x/3+31/3 ==> slope perpendicular=3

Line BD:y-1=3(x-2)==>y=3x+5

4) Slope AE: y=-x/5+7/5 ==>slope perpendicular=5
Line AE: y-9=5(x-4)==> y=5x-11

5) intersection (BD;AE):
y=5x-11
y=3x-5
==>2x=6==>x=3
and y=3*3-5=4
H=(3,4)



You might be interested in
Out of the 30 days in April, 3/5 of the days were sunny and clear. The rest of the days were either cloudy or contained some rai
Lelechka [254]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangular pool is 284 m.
neonofarm [45]

55 + 55 =110

284 - 110 = 174 / 2 = 87

6 0
3 years ago
What can be used as a reason in a two-column proof?
erik [133]
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The reason column will typically include "given", vocabulary definitions, and theorems.

Therefore, w<span>hat can be used as a reason in a two-column proof are:

Postulates

Definitions</span>
8 0
3 years ago
Read 2 more answers
What is feel mean so
pshichka [43]
<span>feel -
(noun)an intuitive awareness"he has a feel for animals" or "it's easy when you get the feel of it";</span>
7 0
3 years ago
A rectangle has a width of 5 yd and a length of 9 yd.
Yuri [45]

Answer:

Option The area is increased by a factor of 16

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to scale factor squared

Let

z-----> the scale factor

x------> the area of the dilated rectangle

y------> the area of the original rectangle

z^{2}=\frac{x}{y}

we have

z=4 ------> is an enlargement

so

substitute

4^{2}=\frac{x}{y}

16=\frac{x}{y}

x=16y

therefore

The area is increased by a factor of 16


8 0
3 years ago
Read 2 more answers
Other questions:
  • Smallest to greatest 1/4 2/3 4/7 1/2
    8·1 answer
  • I need help ASAP! Is it A,b,c, or d?
    15·1 answer
  • Help please!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • The sales volume for an online bookstore was 432 books in the first week. Then due to the new policy of tax for on-line shopping
    7·1 answer
  • Which is bigger 25 lbs or 350 oz
    14·1 answer
  • Saul earned $25 for painting his neighbor's fence. He spent $11 at the store and put the rest into his bank account.
    13·2 answers
  • The force of gravity is otherwise known as<br> volume<br> speed<br> weight<br> mass
    9·2 answers
  • Use the distributive property to find the product. -x^2(x+5)
    5·2 answers
  • I NEED HELP WITH THIS WORK SHEET
    15·1 answer
  • On a scale drawing, 9 inches<br> represents 11 miles. How many<br> inches represent 55 miles?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!