Please help! I am terrible at math :/

Let A=(-6,7), B=(-4,11), and C=(-2.10) be three points in the coordinate plane (A) Verify that the three points form a right tri

faust18 [17]

Answer:

(A) see below

(B) the right angle is at vertex B(-4,11)

(1) 3x -4y = -46

(E) the midpoint is (-4, 8.5)

Step-by-step explanation:

(A) The slope of line AB is Δy/Δx = (11-7)/(-4-(-6)) = 4/2 = 2. The slope of line BC is (10-11)/(-2-(-4)) = -1/2. The slopes of AB and BC have a product of 2(-1/2) = -1, so are the slopes of perpendicular lines. The points are distinct, and lines joining two pairs of them are at right angles, so the points form a right triangle.

(B) Point B(-4,11) is the point of intersection of perpendicular segments AB and BC, so is the location of the right angle.

(1) The slope of the hypotenuse AC is ...

Δy/Δx = (10-7)/(-2-(-6)) = 3/4

In point-slope form, the equation for the line through point A with this slope is ...

y -7 = 3/4(x +6) . . . . point-slope form of the equation of the hypotenuse

4y -28 = 3x +18 . . . . multiply by 4

-46 = 3x -4y . . . . . . subtract 18+4y

3x -4y = -46 . . . . . . . standard form equation of the hypotenuse

(E) The midpoint of the hypotenuse is the average of the endpoint coordinates:

M = (A + C)/2 = (-6-2, 7+10)/2 = (-4, 8.5)

The midpoint of the hypotenuse is M(-4, 8.5).

8 0

4 years ago

Select the correct answer.

romanna [79]

Employees salary [$}: 30,000, 30,000, 35,000, 35,000, 40,000, 40,000.

CEO Salary: $70,000.

The correct answer is this: BOTH JAN AND MARCY ARE CORRECT.

Jan says the employee average salary is $35,000. This is correct as shown below:

Average employee salary = 30,000 + 30,000 + 35,000 +35,000 + 40,000 + 40,000 / 6 = 210 / 6 = $35,000.

Marcy says the average salary of all company members is $40,000. This is also true as shown below.

Average salary of all company members = 30,000 + 30,000 +35,000 + 35,000 + 40,000 + 40,000 + 70,000 / 7 = 280 / 7 = $40,000.

5 0

3 years ago

A triangle has a base of ten inches and an altitude of fourteen inches what is the area

OleMash [197]

The answer is 70 in^2
$(10 \times 14) \div 2 = 140 \div 2 = 70$

good luck

4 0

4 years ago

How many edges are there? A. not enough information B. 15 C. 7 D. 10

mojhsa [17]

My answer is 15 and the other person who answered is wrong because they only counted the ones visible and not the ones that are not visible as the figure is a 3d object.

8 0

3 years ago

I found the answer 5 squares but how do I round it to the nearest tenth

GuDViN [60]

$s^2=1^2+2^2\\s^2=1+4\\s^2=5\\s=\sqrt5$

s²=5 , so we look for the nearest squares, one less than 5 and the other greater.

First it would be perfect squares, which means 4=2² and 9=3²

4 < 5 < 9 so 2 <√5 < 3

now we'll do the same with the numbers with tenths, but to speed up we don't check them all. We do estimation for the square root knowing that it must be between 2 and 3

5 is close to 4 then 9, so I estimate 2.3 for its square root

(2.3)² = 5.29 - it is close but more then 5 so I look for less number then 2.3

(2.2)² = 4.84 - it is also close and less then 5 so:

4.84 < 5 < 5.29 therefore 2.2 < √5 < 2.3 and:

5 - 4.84 = 0.16 ; 5.29 - 5 = 0.29

0.16 < 0.29 means the √5 is closer to 2.2 then 2.3

So the √5 rounded to the nearest tenth is 2.2

Of course is much easier if you can use the calculator. Then you have:

√5 = 2.2360679... ≈ 2.2 {because 3<5}

:)

3 0

4 years ago