A. What are the coordinates of the vertices of the triangle below?
B. Find each side length.
C. Classify the figure. Use coordinate geometry (i.e. Pythagorean Theorem, distance formula,
slope formula, etc.) and properties of triangles to justify your response.

A. What Are The Coordinates Of The Vertices Of The Triangle Below?B. Find Each Side Length.C. Classify

Answers

Answer 1

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

now

AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units

AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

([tex] 4\sqrt{5} [/tex])²=2p²

16*5=2*([tex] 2\sqrt{10} [/tex])²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

A. What Are The Coordinates Of The Vertices Of The Triangle Below?B. Find Each Side Length.C. Classify

Related Questions

10. Find the total surface area of the triangular prism
shown below.

Answers

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Triangular prism surface area

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

How to find the surface area of the triangular prism?

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Help!!!
Consider the following equation.
2^(x)+3=3^(-x)
If the equation is solved using successive approximation, match the value of x to the following iterations.

Answers

9514 1404 393

Answer:

  no iterations shown; the root is approximately -1.12911

Step-by-step explanation:

If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...

  -1.5, -1.25, -1.125, -1.1875, -1.15625

__

If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...

  -1.1905079, -1.1309053, -1.1291151, -1.1291135

Another iteration confirms this last value is accurate to 8 significant figures.

Answer:

-5/4

-9/8

-19/16

Step-by-step explanation:

This is the answer given

230, 200, 170, 140 __ next number sequence ?

Answers

Answer:

C. 110

Step-by-step explanation:

It decrease each time by 30

230-30=200

200-30=170

170-30=140

So

140-30=110

110 is the correct answer.

Hope this helps!!

Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6

Answers

Answer:

The answer is: u-3>-6

This is because 10-3=7 and 7>-6

What’s the answer to all 4

Answers

Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

Find all solutions to the equation. cos x = -1/2

Answers

Answer:

 ^^

Step-by-step explanation:

Answer:

You didn't add the range. I'll use (0<x<2π)

cosx = -1/2

x=-cos-¹(1/2)

x= -60°

Cosine is negative in the second and 3rd quadrants

180-x ---- Second quadrant

x+180 ----- 3rd quadrant

So

Our answer

180-(-60)=240° or 4π/3 second quad

180+(-60) = 120° or 2π/3---- 3rd quad

please help :) find the area of the regular polygon

Answers

9514 1404 393

Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

Keisha has been given a List of 5 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different bands are possible ? Please help me

Answers

Answer:

2

Step-by-step explanation:

because she hast to pick her favorite and second favorite

If APML - ATRO, find QR.
P
35
T
.
14
14
و - r
R

Answers

The value of QR in the triangle is 16 units

What is congruent triangle?

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

Study more about Similar triangles on https://brainly.com/question/14926756

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ANSWER THISSSSSSSSSS

Answers

Answer:

it depends on how its being answered so i'm going to answer its by what i think it is (20)

Step-by-step explanation:

technically is every piece of clothing in one outfit like one different sock to the same parts of an outfit is the same thing right?

i answered this the best i could im sorry if it wrong

Match each interval with its corresponding average rate of change for q(x) = (x + 3)2.

1. -6 ≤ x ≤ -4
2. -3 ≤ x ≤ 0
3. -6 ≤ x ≤ -3
4. -3 ≤ x ≤ -2
5. -4 ≤ x ≤ -3
6. -6 ≤ x ≤ 0

A)-1
B)1
C)3
D)-3
E)0
F)-4

Answers

Answer:

When we have a function:

f(x)

The average rate of change in the interval a < x < b

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Now for each of the given intervals, let's find the average rate of changes.

q(x) = (x + 3)^2

1)  -6 ≤ x ≤ -4

[tex]r = \frac{(-4 + 3)^2 - (-6 + 3)^2}{-4 - (-6)} = \frac{1 - 9}{2} = -4[/tex]

here the correct option is F.

2) -3 ≤ x ≤ 0

[tex]r = \frac{(0 + 3)^2 - (-3 + 3)^2}{0 - (-3)} = \frac{9}{-3} = -3[/tex]

Here the correct option is D.

3) -6 ≤ x ≤ -3

[tex]r = \frac{(-3 + 3)^2 - (-6 + 3)^2}{-3 - (-6)} = \frac{9}{3} = 3[/tex]

Here the correct option is C

4)  -3 ≤ x ≤ -2

[tex]r = \frac{(-2 + 3)^2 - (-3 + 3)^2}{-2 - (-3)} = \frac{1}{1} = 1[/tex]

Here the correct option is B.

5) -4 ≤ x ≤ -3

[tex]r = \frac{(-3 + 3)^2 - (-4 + 3)^2}{-3 - (-4)} = -1/1 = -1[/tex]

Here the correct option is A

6)  -6 ≤ x ≤ 0

[tex]r = \frac{(0 + 3)^2 - (-6 + 3)^2}{0 - (-6)} = \frac{9 - 9}{6} = 0[/tex]

Here the correct option is E.

12^2+b^2=39^2

Need this urgently with an explanation please

Answers

Answer:

37.1

Step-by-step explanation:

12²=144

39²= 1521

1521-144 =1377

Then find the square root of 1377

=37.1

Can I please get help with this question on future value of annuities? I also am really confused on how to do the table of values.

Answers

Answer:

D

Step-by-step explanation:

I've attached one of those tables below

I'm going to solve this using the FV annuity formula

[tex]R(\frac{(1+i)^n-1}{i})[/tex]

where i is the effective rate of interest

r is the payment

n is the number of periods

to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)

and the number of periods is 4*2 (because there are two periods a year(

[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D

To use the table go to the effective rate of interest (4%) and then number of periods (8)

The number is 9.2142

mulitply that by the payment (1500) and get 13821.3 (D)

*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*

9514 1404 393

Answer:

  D.  $13,821.30

Step-by-step explanation:

The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.

Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.

That multiplier is 9.2142, so the future value is ...

  FV = amount invested per period × multiplier from table

  = $1500 × 9.2142 = $13,821.30

__

The above is how you use the table.

You can also choose the correct answer based only on your number sense, without bothering with the table.

You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:

  D.  $13,821.30

Which choice is equivalent to the expression below
5x sqrt2 - 3 sqrt2 + x sqrt2

Answers

Answer:

answer is D I think

Step-by-step explanation:

.............

f^2×f^3
A f^5
B f^6
C (2f)^5
D(2f)^6​

Answers

Answer:

A) f^5

Step-by-step explanation:

28 minutes to 1 hour simplest form

Answers

Have a great day ps I know this was a mistake..

Answer:

7min:15min

Step-by-step explanation:

28min:1 hour

28min:60 minutes

14min:30min

7min:15min

What is the circumference?
(radius = 4)

Answers

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Find the value of each variable in the parallelogram

PLEASE HELPPPP!!

Answers

Answer:

m = 35

n = 110

Step-by-step explanation:

70/2 = 35

70 + 70 = 140

360 - 140 = 220

220/2 = 110

Write the equation of a line that is parallel to x
= 8 and that passes through the point (-3,-2).

Answers

Answer:

x=-3

Step-by-step explanation:

Hi there!

1) Determine the slope

Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.

Now, because this line will also be a vertical line, it will also be organized like:

x=d

2) Determine the x-intercept (d)

Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).

Plug this into x=d:

x=-3

I hope this helps!

what if you have a grade of 80% and you fail a homework of 50 points​

Answers

Answer:

I don't know but you might end up with a C

Step-by-step explanation:

OR A D

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

It would be the fourth one

Step-by-step explanation:

Amy has a box that is 6 1/2 feet long, 3.25 feet wide, and 2 feet high. What is the volume of the box? V=lwh

Answers

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E

Answers

Answer:

ans = <ebc= 115°

hope this will help

.

.

2(n-1)+ 4n= 2 (3n -1)

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2

the answer is infinitely many solutions, meaning that n can be any real number.

If a bracelet costs $50 and there is a 25% off sale, what is the sale price?

Answers

25% of 50 is 12.5
50 - 12.5 = 37.5
So the answer is $37.50

Solve for y= 1/2x -1

Answers

Are u looking for the x or y? If it’s x, then it is x=2, but if it is y, then y=-1

Name all asymptotes: y =x−3/2x+8

Answers

There is a horizontal asymptote at y=1/2 and a verticals asymptote at x=-4

Answer:

x=0

y= x + 8

Step-by-step explanation:

find the oblique asymptotes using long polynomial divison

If c = 4 what is the value of the following expression:
50 - 40 + C*

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

50 - 40 + c

50 - 40 + 4

10 + 4

14

PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER

Answers

Answer:

18

Step-by-step explanation:

mark me as

brainliest

18

Answer:

144 ounces

Step-by-step explanation:

Mr. Duncan creates a pop quiz for his students. On the quiz, students must order the following numbers from least to greatest.
– 1.15, V14, 3, -18}
Which list shows the correct response to the question on Mr. Duncan's quiz?
9
0 -1.15, - 18 , V14
O -1.15, -78, 14 , 1
O-V8. - 1.15, 14,
0 -18. - 1.15, , V14

Answers

Answer:

im sry but i have no idea

Step-by-step explanation:

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