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
Umnica [9.8K]
3 years ago
13

Determine the missing vertex of a right triangle with vertices (6,2) and (5,5) if the third vertex is on the y-axis.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

Either a can be 0 or 10/3

Step-by-step explanation:

Given that a right triangle has vertices as (6,2) and we have to find the third vertex on the y axis

Since the third vertex lie on y axis, it would have coordinates as (0,a)

Using slope formula we can say one pair of sides will be perpendicular

Let A (6,2) B (5,5) and C (0,a)

Slope of AB = change in y coordinate /change in x coordinate = -3

Slope of BC = \frac{a-5}{-5}

Slope of CA = \frac{a-2}{-6}

If AB and BC are perpendicular then

\frac{a-5}{-5}*-3 = -1\\\\3a-15 = -5\\a=10/3... i

OR if BC and CA are perpendicular then,

(a-5)(a-2)= -30

a^2-7a+40 =0\\

No real roots

OR if CA and AB are perpendicular

(a-2) =-2

a=0

Either a can be 0 or 10/3

You might be interested in
One number is six more than the other number . thesum of their squares is 90
Andreyy89

Answer:

the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.

7 0
2 years ago
Please help marking brainliest if it's correct and explain​
yarga [219]
Imma take a guess maybe C
4 0
3 years ago
. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
MAXImum [283]
<h3><em>Answer:</em></h3><h3><em></em></h3><h3><em>number of seats in theater = 1035</em></h3><h3><em></em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em></em></h3><h3><em>Given in question as</em></h3><h3><em></em></h3><h3><em>Total number of rows of seat = 30</em></h3><h3><em></em></h3><h3><em>first row contain seat = 20</em></h3><h3><em></em></h3><h3><em>second row contain seat = 21 .. and so on</em></h3><h3><em></em></h3><h3><em>This is in arithmetic progression as 20 , 21 , 22 , 23 ...... so on</em></h3><h3><em></em></h3><h3><em>Then as number of terms N = 30 and first terms = a = 20</em></h3><h3><em></em></h3><h3><em>so we have to find Tn th terms</em></h3><h3><em></em></h3><h3><em>So, Tn th terms = first term + ( N -1 ) × d               d= common difference i.e 1</em></h3><h3><em></em></h3><h3><em>     Tn th terms = 20 + (30 - 1) × 1</em></h3><h3><em></em></h3><h3><em>Thus, Tn th terms = 49</em></h3><h3><em></em></h3><h3><em>i.e The number of seats in 30th row = 49</em></h3><h3><em></em></h3><h3><em>Now again Total number of seats in theater</em></h3><h3><em></em></h3><h3><em>sum of Nth terms = </em></h3><h3><em></em></h3><h3><em>so                         = </em></h3><h3><em></em></h3><h3><em>                            = 15 × 69 = 1035</em></h3><h3><em></em></h3><h3><em>Hence, Total number of seats in theater = 1035      Answer</em></h3>
6 0
3 years ago
Question
balandron [24]

Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So

The approximate percentage of SAT scores that are less than 865 is 16%.

8 0
3 years ago
N the recursive formula f(n) = f(n - 1) + 5, the value of the previous term is represented by
eimsori [14]
F(n-1) = f(n) - 5, based off of the first one
3 0
4 years ago
Other questions:
  • A+b/a-b =5/3 what are the following ratios? a+b/a
    8·1 answer
  • Given that quadrilateral 퐸퐸퐸퐸퐸퐸퐸퐸 has vertices at 퐸퐸(4,7), 퐸퐸(7,4), 퐸퐸(4,1), and 퐸퐸(1,4), show that the quadrilateral is a paral
    8·1 answer
  • A bench in the shape of a parallelogram has a base of 25 inches and a height of 40 inches. What is the area of the bench? *
    7·1 answer
  • Simplify the equation 5x + 4 = -16
    13·1 answer
  • Pls help me it's urgent pls help me!
    10·1 answer
  • Study the graph about immigration.
    13·1 answer
  • 4x-5y+2x+4+6+9y+7x+2​
    6·2 answers
  • A sphere with a diameter of 18cm. find the volume
    14·1 answer
  • D 25
    8·1 answer
  • Heights of female students at ohs follows a normal distribution that has a mean of 65.2 inches with a standard deviation of 2.1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!