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
Alinara [238K]
3 years ago
12

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? A) 3 B

) 4 C) 5 D) 6

Mathematics
2 answers:
Semmy [17]3 years ago
8 0
Let
A------> <span>(1, 4)
B------> (6, 4)
C----->  (6,1)

we know that
In </span><span>a right triangle there are  two legs and one hypotenuse
</span><span>
step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> d=√[(4-4)²+(6-1)²]-----> d=√25----> 5
AB=5 units

step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-6)²]-----> d=√9----> 3
BC=3 units

step 3
find the distance AC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-1)²]-----> d=√34----> 5.83 
AC=5.83 units

therefore
the two legs are
AB=5 units
BC=3 units
the hypotenuse is
AC=5.83 units

the answer is
<span>the length of the longer leg is AB=5 units
</span>
see the attached figure

Marizza181 [45]3 years ago
4 0

Answer:

The longest leg is the horizontal leg that goes from (1,4) to (6, 4) and that length is 5.

You might be interested in
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that
tekilochka [14]

Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

P_1 = P(X) - P(X∩Y)

P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

P_2 = P(Y) - P(X∩Y)

P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

P = P_1+P_2\\P=0.16+0.31\\P=0.47

7 0
3 years ago
What is 3x3 – 11x2 – 26x + 30 divided by x – 5?
ahrayia [7]
Hello :
 3x3 – 11x2 – 26x + 30 divided by x – 5 is :<span>3x2 + 4x – 6
because :
(x-5)(3x²+4x-6)=3x^3+4x²-6x-15x²-20x+30 =</span>3x3 – 11x2 – 26x + 30
8 0
3 years ago
Read 2 more answers
Find the value of x
Mamont248 [21]
The pentagon has a sum of interior angles of 540 degrees.

Therefore,
(4x + 5) + (5x - 5) + (6x + 10) + (4x + 10) + 7x = 540;
26x = 520;
x = 20;
5 0
3 years ago
Help asap please I'm stuck and I gotta leave soon
Darya [45]

Answer: I found the answer of A=9h

5 0
3 years ago
Read 2 more answers
Solve x = log9(4)<br> **Round your answer to the nearest hundredth.
Alexus [3.1K]
Log base 9 of 4 is .63
4 0
3 years ago
Other questions:
  • What is 38496 rounded to the nearest thousand
    8·2 answers
  • 60% of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive vehicles pa
    12·2 answers
  • List least to greatest -2.3, -2 4/5, -2.6
    15·2 answers
  • What is the slope between the points 3,-3 and 12,-2?
    8·1 answer
  • A number plus 12 is 36. write an equation and use equation to solve
    10·2 answers
  • Quick only 5 minutes to answer!
    9·2 answers
  • The graph of the equation x + 3y = 6 intersects at the y axis at the point whose coordinates are
    9·1 answer
  • What is the slope intercept equation of the line below?
    8·1 answer
  • Help pls I’ll give extra points
    6·1 answer
  • P (n), given below, is the price P in dollars for n grams of vitamins.P(n)=0.4n+5.7Complete the following statements.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!