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
Anon25 [30]
3 years ago
8

The coordinates for the vertices of a right triangle are (1, 4), (6, 4), and (6,1). What is the length of the longer leg?

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
Check the picture below.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 1 &,& 4~) 
%  (c,d)
&&(~ 6 &,& 1~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(6-1)^2+(1-4)^2}\implies d=\sqrt{5^2+(-3)^2}
\\\\\\
d=\sqrt{25+9}\implies d=\sqrt{34}

You might be interested in
I need help with this problem​
balu736 [363]

Answer:

2.1000x10^03

Step-by-step explanation:

7 0
2 years ago
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
7 0
2 years ago
The product of the page numbers on two facing pages of a book is 110. find the page numbers.
iren2701 [21]
The page numbers are 10 and 11
6 0
3 years ago
in a xy-coordinate system line 1 has a slope of -3. If the points (2,16 and (5,t) are on line 1, what is the value of t?
Dimas [21]
We can use the formula y2-y1/x2-x1 to find our answer. So, we have : t-16/5-2 = -3. We simplify that to t-16/3 = -3. We can then multiply both sides by 3 to get t-16 = -9. Then we can add 16 to both sides to get t = 7.
8 0
3 years ago
Kail Ryans 10 laps around the track each day each lap around the track is 400 m meters how many times around the track will she
Semmy [17]
Hello

1 km = 1000 m

12 km = 12,000 m

Each day, she runs 10 * 400 m = 4000 m

12,000 m / 4000 m = 3

It will take 3 days.

Have a nice day
5 0
3 years ago
Other questions:
  • Solve the following equation <br> 3(2x+7)=9
    14·1 answer
  • Trevor drove 202 miles to visit his grandparents. It took him 4 hours to get there. What was the average speed that Trevor drove
    14·1 answer
  • You purchase a car using a $20,000 loan with a 5% simple interest rate.
    12·1 answer
  • Could you please help me out I think that answer is c
    11·1 answer
  • The water level in a reservoir is now 52 meters. If this was 23% increase, what was the initial depth
    13·1 answer
  • Greta used 3/4 of a cup of frosting to decorate some cupcakes. She divided all the frosting equally between 2 cupcakes. How much
    5·2 answers
  • In a regular polygon, the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 2/3. How m
    10·1 answer
  • 2 times the sum of a number and 8 is equal to the difference of 10 and that number find the number
    10·1 answer
  • What is the vertex of the quadratic graph below ?
    11·2 answers
  • What is the value of x if...<br> 9x - 4 - 4x = 8 + 3x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!