What is the perimeter of ABC with vertices A (-2,9) , B (7,-3) , C (-2,-3) in the coordinate plane?
A. 21 units
B. 15 units
C. 34 units
D. 36 units

Answers

Answer 1

9514 1404 393

Answer:

  D.  36 units

Step-by-step explanation:

Using the distance formula, we find the length of AB to be ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15

The line BC is horizontal, so its length is the difference of the x-coordinates:

  BC = 7 -(-2) = 9

The line AC is vertical, so its length is the difference of the y-coordinates:

  AC = 9 -(-3) = 12

The sum of the lengths of the sides of the triangle is ...

  P = 15 + 9 + 12 = 36

The perimeter is 36 units.


Related Questions

PLEASE HELP! please help!!! omgggg

Answers

Answer:

2nd option because the number next to the x is the slope (3) and the added number is your intercept (4)

Step-by-step explanation:

answer:

the secound one :)

Need help only on odds please

Answers

Answer:

Step-by-step explanation:

1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS

ΔHGI ≅ ΔSTR     by  S S S congruent

(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T

ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.

3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX

ΔLMK ≅ ΔXYZ Side Side Side congruent

∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X

ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent

Find the slope of the line that passes through (5, 1) and (9, 2).
It’s due in 4 minutes

Answers

Answer:

1/4

Step-by-step explanation:

(2-1)/(9-5)

1/4

SOLVE
Express in radian
(a) 70°

Answers

Answer:

I dont understand the question or what I'm looking at try reposting one

What is 3x6=4(2-3x)-8x

Answers

Answer:

x=- 31/2 or -15 1/2 or -15.5

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

does somebody have a kalimba?

Answers

Answer:

nah ive seen so many vids tho im already in an instrument so i cant it would be so hard to have 2

.Step-by-step explanation:

In 5 batches of trail mix, there are 3 cups of chocolate chips. How many cups of chocolate chips are in 1 batch?​

Answers

Answer:

5÷3=1.6666666667

so in 1 batch there would be 1.67 cups?

Write the final equation using the slope-intercept form perpendicular to 3y = x − 4 and passes through the point (−2, 1)

Answers

Answer:

y=-3x-5

Step-by-step explanation:

given equation:

3y=x-4

slope intercept form is y=mx+b

(m is the slope, b is the y intercept)

divide by 3

y=1/3x-4/3

perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

so to find the slope of the perpendicular line, use this equation:

1/3m=-1

multiply by 3

m=-3

the slope of the new line is -3.

here is our equation so far:

y=-3x+b

now, we need to find b.

Since the equation of the line passes through the point (-2,1) we can substitute that into the equation to find b

1=-3(-2)+b

multiply

1=6+b

subtract 6

-5=b

so the line is y=-3x-5

Hope this helps!

what number i am between 21 and 31 a multiple of 4 and 7​

Answers

the answer is 28

hope this helps :)

I GIVEEEEE BRAINLILSTTTTT

Answers

Answer:

side of black is 7

side of green is 14

Dilation scale factor is 2

hope this helps :)

please mark branliest

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.

Now, we divide the length taken from the figure by the length taken from the original shape.

14/7=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Jason is making pumpkin bread. He needs 4 caps of pumpkin for every 3 cups of sugar. what is the ration of caps of sugar to cups of pumpkin that Jason will need?
A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3

Answers

AAAAAAAAAAAA the answer is A

What’s the domain and range of this graph?

Answers

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

Help me out here pleaseeeeeee

Answers

Answer : C (24 - 6) ÷ 3

(almost 100% sure this is correct lol)
The answer is C because i did the work

2/7 - 2/5 WHATS THE ASNWER HELP ME PLS

Answers

Answer:

Exact Form:

4/35

Decimal Form:

0.1142857

Step-by-step explanation:

Convert the following equation from standard form to slope-intercept form.
x +y = -3

Answers

Answer:

y=-x-3

Step-by-step explanation:

Slope intercept form is y=, and so we had to get the x to the other side. To do that you would subtract x from each side and then you get your answer.

(hope this helps!!)

Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

Answers

Answer:

90 units

Step-by-step explanation:

Answer:

its 12.25 im pretty sure

Step-by-step explanation:

sorry if its wrong

Is D correct? if not what is? and how many months with the population of the towns be equal​

Answers

Answer:

≈ 10 month

Step-by-step explanation:

50m-38600 = 40600-150m

200m = 2000

m = 10

Please help lol and thank u

Answers

Step-by-step explanation:

The picture shows us that the shape is a square.

To find the area of a square you would use the formula s^2

s= 8ft

8ft^2 = 64ft^2

with area you would need to use the unit ft^2

I hope this helps!!!

Answer: DDDDDDD

Step-by-step explanation: The formula is width x height, so we can use the expression 8 x 8 assuming this is perfectly square. 8 x 8 is 64 square units

What expression is equivalent to
4/9(2n - 3)

Answers

Answer:8/9 n- 12/9

Step-by-step explanation: You do distributive property.Which is 4/9 times 2 n  but you make  both 4/9 and 2 to a fraction which is 4/9 times 2/1 which gives you 8/9 .Next you do 4/9 times 3  but make to a fraction both which is 4/9 times 3/1 which gives you 12/9 .Next you take the 8/9 n and 12/9 and you subtract it .Which gives you 8/9 n- 12/9  as your expression.

Hope it helps  :)


If Y varies directly with X,
find y when X =24 if y =5
when X = 30.

Answers

Answer:

We get Y=4 when X =24

Step-by-step explanation:

If Y varies directly with X,  find Y when X=24, if Y = 5  when X= 30.​

We are given If Y varies directly with X, we can write:

[tex]Y\:\alpha\: X\\Y=kX[/tex]

Where k is constant of proportionality

We need to find Y when X=24, first we need to find k, the constant of proportionality.

Now, we are given: If Y = 5  when X= 30.​

We can find value of k

[tex]Y=kX\\5=k(30)\\k=\frac{5}{30}\\k=\frac{1}{6}[/tex]

So, k=1/6

Now, we will find Y when X = 24

and k=1/6

[tex]Y=kX\\Y=\frac{1}{6}(24)\\Y=4[/tex]

So, Y=4 when X =24.

find the slope of the line? (6,-2) and (2,0)

Answers

Answer:

-1/2

Step-by-step explanation:

(x1,y1)=(6,-2) and (x2,y2)=(2,0)

now using slope formula

=(y2-y1)/(x2-x1)

=(0+2)/(0-6)

=-(1/2)

Expand. Your answer should be a polynomial in standard form. p (p2-p-1) = Stuck? Watch a video or use a hint.​

Answers

Answer:

p^3 -p^2 -p

Step-by-step explanation:

p (p^2-p-1)

Distribute

p *p^2-p*p-p*1

Combine

p^3 -p^2 -p

Answer: -p^4+p^3+p^2

Step-by-step explanation: khan academy

WILL MARK BRAINLIEST FOR THE FIRST ANSWER! Stella went shopping for a new camera. Sales tax where she lives is 6%. The price of the camera is $50. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

$53.00

Step-by-step explanation:

Turn the percentage into a decimal:

50 x 0.06 = 3

The sales tax for the camera is $3.00

$50.00 + $3.00 = $53.00

Use the picture below to answer the following...




Write the ratio of stars to squares in all 3 forms (remember to simplify).

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Number of stars = 3

Number of squares = 5

Ratio of stars to squares can be written in three forms as,

Number of stars to number of square = 3 to 5

Number of stars : Number of squares = 3 : 5

[tex]\frac{\text{Number of stars}}{\text{Number of squares}}=\frac{3}{5}[/tex]

Given sin x = 8/10, 90° <x< 180° and tan y = -12/5, 270° ≤y≤ 360°. Without finding the values for angle x and y, determine cos x cos y + sin x sin y / tan x - tan y.​​

Answers

Answer:[tex]-\frac{189}{208}[/tex]

Step-by-step explanation:

Given

[tex]\sin x=\frac{8}{10}[/tex]

x lies in the second quadrant where sin and cosec is positive and rest trigonometric functions are negative

so, [tex]\cos x=-\sqrt{1-sin ^2 x}\\\cos x=-\sqrt{1-(\frac{8}{10})^2}=-\sqrt{\frac{36}{100}}\\\cos x=-\sqrt{\frac{6}{10}}[/tex]

[tex]\tan x=\frac{\sin x}{\cos x}=-\frac{4}{3}[/tex]

similarly, [tex]\tan y=-\frac{12}{5}[/tex]

Also, y lies in 4 th Quadrant where cos and sec is positive and rest trigonometric functions are negative

[tex]\sec y=\sqrt{1+\tan ^2y}=\sqrt{1+(-\frac{12}{5})^2}\\\sec y=\frac{13}{5}\\\cos y=\frac{5}{13}\\\sin y =\frac{\tan y}{\cos y}=-\frac{12}{13}[/tex]

Now putting the values

=[tex]\dfrac{\cos x \cos y+\sin x\sin y}{\tan x-\tan y}=\dfrac{(\frac{-6}{10})(\frac{5}{13})+(\frac{8}{10})(\frac{-12}{13})}{(\frac{-8}{6})-(\frac{-12}{5})}\\\dfrac{\cos x \cos y+\sin x\sin y}{\tan x-\tan y}=\dfrac{\frac{-126}{130}}{\frac{16}{15}}=-\frac{189}{208}[/tex]

Which of the following is NOT permitted when verifying trigonometric identities?

a. simplifying one side of the identity to match the other side

b.cross multiplying if the identity is a proportion

c. simplifying each side of the identity separately to get the same expression on both sides

Answers

Answer:

b i think

Step-by-step explanation:

Can somebody PLEASE help me, I need this done before 7:00 p.m, It's only 3 questions, I'll give you a thanks and full stars if it's very much correct, please I'm fr begging for someone to notice this.

P.S
The image with the answer choices goes with question 18.

Answers

Answer:

The answer to question 18 Is B; y is equal to 4 less than 3 times x

Step-by-step explanation:

Brute force may not be the best sollution in mathmatics, but it worked for this question.

Is this inequality statement true? (Y or N)

-13 < -5

Answers

Answer:

yes

Step-by-step explanation:

Answer:

the inequality is true.

-13<-5

The area between
z = −2.27
and z = 1.41 is Incorrect: Your answer is incorrect. .

Answers

1.41 = -2.27 is incorrect.

It takes Maria 10 hours to pick forty bushels of apples. Kayla can pick the same
amount in 12 hours. How long will it take if they work together? Round your answer
to the nearest tenths place.

Answers

Answer:

5.3

Step-by-step explanation:

It will take a time 0f 5.5 hours to pick 40 bushels of apple if they worked together.

What is Proportion?

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that,

Amount of bushels picked by Maria in 10 hours = 40

Amount of bushels picked by Maria in 1 hour = 40/10 = 4

Amount of bushels picked by Kayla in 12 hours = 40

Amount of bushels picked by Maria in 1 hour = 40/12 = 3.333

Amount of apple picked by both Maria and Kayla in 1 hour if they worked together = 4 + 3.333 = 7.333

Let x be the time taken to pick 40 bushels of apple by both.

Using proportional concept,

x / 40 = 1 / 7.333

x = 40 / 7.333

x = 5.4548 ≈ 5.5 hours

Time taken if they both worked together is 5.5 hours.

To learn more about Proportions, click :

https://brainly.com/question/7066283

#SPJ2

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