f. Do the segments connecting the coordinates (-1,6), (4,2), and (7,6) form a right triangle? Show
work that leads to your answer.

Answers

Answer 1

Answer:

No, these segments do not form a right triangle.

Step-by-step explanation:

We need to calculate the distances between the points, taking 2 at a time:

From (-1, 6) to (4, 2), x increases by 5 and y decreases by 4.  The distance between the two points, by the Pythagorean Theorem, is d = √(5² + 4²), or √41.

From (-1, 6) to (7, 6) x increases by 8 but y stays the same:  6.  The distance between these two points is therefore 8.

Finally, from (4, 2) to (7, 6), x increases by 3 and y by 4, and so d = 5.

So now we have the 3 side lengths:  √41, 8 and 5.

Squaring them, we get 41, 64 and 25.  These do not satisfy the Pythagorean Theorem:  41 + 25 is not equal to 64.

No, these segments do not form a right triangle.


Related Questions

the measure of an angle is 83°

Answers

Is there a picture that goes along with this?

A triangle has side length measurements of 7 ft., 2 ft., and 5
feet. Can this form a triangle? Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

2 + 5 is only equal to 7

not greater than 7

what is (2x + 5) + 3 < 22 ?

Answers

Inequality Form : x < 7
Interval Notation: (-∞, 7)

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?

Answers

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?????

He would end up with 18,600

Answer: he earned 10 percent intrest.

Rewrite the radical expression using rational exponents and simplify

Answers

Answer:

[tex]a {b}^{3} \sqrt[4]{5} [/tex]

Will mark brainliest for whoever answers correctly.

Answers

Answer:

-0.2588 but rounded is -0.26

Step-by-step explanation:

A bag contains 3 red, 2 white, and 5 blue marbles. If one marble is drawn what is the probability that the marble will be red?

Answers

Answer:

3/10

Step-by-step explanation:

Given data

Sample space

3 red,

2 white, and

5 blue marbles.

Sample size

=3+2+5

=10

Hence the probability of picking a red marble is

=3/10

here is the next one. sorry

Answers

Answer:

$5.30

Step-by-step explanation:

23.85/9=$2.65

2.65*2=$5.30

Answer:

I don't know if this is right but I got $5.30.

Step-by-step explanation:

I did 23.85/9 to get how much each pane is than I multiplied by 2 to get the cost of the 2 new panes.

23.85/9= 2.65

2.65*2 = 5.3

If f(x) = x 2 + 1 and g(x) = 3x + 1, find f(2) + g(3).

Answers

f(2) = (2)² + 1
g(3) = 3(3) + 1
-
(2)² + 1 + 3(3) + 1
simplify
-
f(2) + g(3) = 15

Find the common property and use it to describe these sets. C={1,4,9,16} C is a set of x, where x depends on n.

Answers

Answer:

x depends on natural number.

Answer:

C={1,4,9,16} C is a set of x, where x depends on .

Step-by-step explanation:

x depends on natural number of.

hope it is helpful to you

Marco is buying a new skateboard that is on sale for 25% off the regular price is 59.95 Marco knows there's a 7% sales tax what is the total amount he should pay including tax

Answers

Make sure to only tax the price he is paying...
25% is equal to .25 and 25/100 and 1/4
7% is equal to .07 and 7/100

59.95times.25=price

(59.95times.25)times.07= taxes

Then add price and taxes together
14.99price plus 1.05tax=$17.04
Good luck!

help 5 3/5 x 1 8/32
no links or i will be reporting

Answers

Answer:

954/160

Step-by-step explanation:

multiply denominators and the top thing (forgot what its called)

I think numerator

954/160 I hope this helps

Also What do those links bring you to because they weird me out when someone answers with them so I always report it?

ILL BRAINLIEST YOU
PLEASE HELP ME

Answers

Answer:

From greatest to least: AB, AC, BC

I need it fast please

Answers

I think the answer is C not 100% sure tho ...

Help me please I don't understand

Answers

Answer:

Q1: E N W G Y U

Q2: R D S Q

Q3: X

Q4: B M F P L

1. N 3. L 5. Q 7. W

2. G 4. B 6. E 8. Y

9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)

10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)

I can't add the points on the graph tho sorry:(

Find the area of the irregular shape.

Answers

Answer:

42

Step-by-step explanation:

Break the shape into regular shapes and find the area and then add them all up: 12+6+24=42

328 ÷ 8 pls show how u got it

Answers

Answer:
41
look at the picture down below for the work

how to find 62%of $400​

Answers

Answer:

248

Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

(400:100)*62 =

(400*62):100 =

24800:100 = 248

Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{62}{x}=\frac{100\%}{400\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{62}=\frac{400}{100}

\Rightarrow x=248

Therefore, 400 of 62 is 248

Answer:

248

Step-by-step explanation:

[tex]\frac{y}{400}: \frac{62}{100}[/tex]

y · 100 = 62 · 400

100y = 24800

100y ÷ 100 = 24800 ÷ 100

y = 248

Solve the following quadratic by
completing the square.
y = x2 + 10x + 10

Answers

Answer:

        x = -5 - √15    or   x = -5 + √15

Step-by-step explanation:

[tex]y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}[/tex]

Let f(x) = - x ^ 3 - (4x - 1) Find f(- 5)

Answers

Answer:

146

Step-by-step explanation:

replace every x with -5

create an expression that when combined equals 5x+2y
(must be at least 3 terms)

Answers

you could do 3x+y+2x+y

your kitchen clock has a radius of 8 inches. you want to know how much it will cost to cover the outside edge of the clock in silver that costs $2.50 per inch.​

Answers

Answer:

31 cents

Step-by-step explanation:

do 2.50 divided by 8 which is 31 cents per inch

Isabelle rides her bike to school. The graph shows her speed at different point
times during her ride, explain what is going on in the graph using the words
increasing decreasing, constant

Answers

Answer:

0 to 2 minutes - Accelerating

3 to 4 minutes - Constant

6 to 8 minutes - Decelerating

9 to 11 minutes Accelerating

hope i have helped u

Step-by-step explanation:

Help please I need the steps for each problem. No websites will be allowed and if your just going to put a radon answer tire reported

Answers

Answer:

what are the problems

Step-by-step explanation:

theres no pictures, website nothing :/

URGENT HELP
Pqr is an isosceles triangle and prs is a straight line

Answers

Answer:

∠ QRS = 132°

Step-by-step explanation:

Since the triangle is isosceles then the 2 base angles are congruent, that is

∠ PQR = ∠ PRQ = [tex]\frac{180-84}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48°

∠ PRQ and ∠ QRS are adjacent angles , so

∠ QRS = 180° - 48° = 132°

The price of an ipad went from $450 to $360. What was the percent of decrease?

Answers

Answer:

90

Step-by-step explanation:

450-360 = 90

Simple subtraction.

Use the figure to complete the cross number puzzle

Answers

yes go here answers.com

Jonathan is getting a raise from $12.50 per hour to $14.75 per hour.
His supervisor, Makayla, got a raise from $22.00 per hour to $25.30 per hour.
(a) How much in terms of dollars per hour is Jonathan’s salary going up?
(c) Who received the larger increase in salary in terms of dollars per hour?
(b) By what percent is Jonathan’s salary increasing?
(d) Who received the larger percent increase in salary?

Answers

A) $2.15 C)Makayla because hers went up by $3.30 B) ?D) Makayla had a higher percent

Plz help I rlly need it!

Answers

It’s greater than 25% because both have the numbers 3 and 5.

What expression is equal to 8 + 2(y + 5)? 10y + 50 10y + 5 2y + 13 2y + 18

Answers

Answer:

2y + 18

Step-by-step explanation:

8 + 2(y + 5)

8 + 2y + 10

2y + 18

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