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
barxatty [35]
3 years ago
14

What is the area of a triangle whose vertices are R(−4,2) , S(1,2) , and T(−5,−4)?

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Fisrt is solve the distance of the segments using distance formula

Distance =sqroot[(x2−x1)^2+(y2−y1)^2]

So ditance of RS = 5

ST = 8.49

TR =6.08

The using herons formula

Area = sqrt ( s ( s-a) ( s-b) ( s-c) )

Where s s = 1/2 ( a + b + c )

And a, b , c are length of the sides

S = 9.785

Area = 14.99

You might be interested in
Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks
Lemur [1.5K]

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (C_{o}), measured in monetary units, and week earning (R), measured in monetary units, multiplied by a number of weeks (n), dimensionless:

C =C_{o} + n\cdot R (1)

Now we clear the number of weeks within the formula:

n = \frac{C-C_{o}}{R}

If we know that C_{o} = \$\,145, C = \$\,450 and R = \$\,36, then the number of weeks is:

n = \frac{\$\,450-\$\,145}{\$\,36}

n = 8.472

Paul will have no more than $ 450 in next 8 weeks.

8 0
3 years ago
Read 2 more answers
Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

5 0
2 years ago
Read 2 more answers
selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?
galina1969 [7]

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

3 0
2 years ago
a taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile travel
Len [333]
The cost of the ride varies by however many miles is driven, however the charging rate stays the same no matter how long the ride is. In the expression 0.20m + 2.00 , 2.00 is the constant as it stays the same, and 0.20 is the coefficient as is varies with however many miles are driven.
4 0
3 years ago
HELP ME OUT PLEASE! ILL GIVE YOU 16 POINTS
WINSTONCH [101]

1.y-4.90 = 2.4(x-1) 2. 24x-10y= -25

Step-by-step explanation:

The point-slope form of an equation is written as ;

y-y₁ = m(x-x₁) where the focus is on the slope of the line and a point on the line.

In this case, y-4.90 = 2.4(x-1)

The standard form an equation is written as :

Ax+By=C ,where x and y are variables and A,B and C are integers.

In this case; 24x-10y= -25

Learn More

Point-slope intercept form of an equation; brainly.com/question/11016508

Keywords :point-slope, standard form, equation

#LearnwithBrainly

8 0
3 years ago
Other questions:
  • At this rate if you have been in the car for 12.3 hours how many miles have you travled?
    12·1 answer
  • 8 (a+4) + 4 = 36 + 8a
    13·2 answers
  • Write an equation to model the following situation.
    14·2 answers
  • two teams are playing in the finals for an adult soft leauge. Each team has 13 players and the ages of the team members are show
    5·1 answer
  • The sales tax rate is 9 1/2%. Estimate the tax on a $9.98 purchase. How did you arrive at your answer?
    12·1 answer
  • HELP PLEASE ASAP…..,……
    11·1 answer
  • Maria drove 520 miles in 8 hours. How many miles per hour did she drive?
    14·1 answer
  • The number line shows four points. Which point represents the approximate location of 83?
    8·1 answer
  • Yeah I have zero idea what this is, can someone help me with it?
    5·1 answer
  • The circumference of a circle of diameter 3,5 cm is 11 cm. What is the circumference of a circle of diameter 42 cm? Answer ... c
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!