Triangle ABC is a right triangle. What is the length of AC?

Triangle ABC Is A Right Triangle. What Is The Length Of AC?

Answers

Answer 1

Answer:

AC = [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Calculate AC using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )

AC = [tex]\sqrt{(3-0)^2+(5-(-2)})^2[/tex]

     = [tex]\sqrt{3^2+(5+2)^2}[/tex]

    = [tex]\sqrt{9+7^2}[/tex]

    = [tex]\sqrt{9+49}[/tex]

    = [tex]\sqrt{58}[/tex]


Related Questions

Simplify the expression

Answers

Answer:

Step-by-step explanation:

It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd

Answer:

[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]

Find the slope of the line passing through the points (-6, 6) and (4, -7).

Answers

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!

Find the value of xFind the value of xFind the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

m - 4 = 2m
Check your solution if possible

Answers

Answer:

m - 4m = 2m

-4 = 2m -m

- 2 = m

Answer:

m = -4

Step-by-step explanation:

Add 4 to both sides of the equation

Simplify

Add the numbers

= 2 + 4

Subtract 2 from both sides of the equation

=2+4

−2=2+4−2

Simplify

Divide both sides of the equation by the same term

Simplify

This one is very hard for me

Answers

15x + 57 ≥ 129

15x ≥ 129 - 57

15x ≥ 72

x ≥ 24/5

x 4.8

Answer:

[tex]x \geqslant 4.8[/tex]

Step-by-step explanation:

[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]

work out b(4½-3⅔)+1⅔​

Answers

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]

I can’t write this. it’s on the image. Please help.

Answers

Answer:

608 minutes.

Step-by-step explanation:

When you add 8.24 and 11.03 you get 19.27 this number then needs to be multiplied by 32 which leaves us with 616.64. The question asks on average how many minutes James traveled, so I would round to the nearest number which would be 608.

I hope this helped lol

Please help! Will mark brainliest! ^^

Answers

Answer:

1/8 = 0.125

14/20 = 0.7

2/3 = 0.67

4/5 = 0.8

Step-by-step explanation:

1/8: 0.125


14/20: 0.7


2/3: 0.6 but a slash on top of the six for the repeat sign


4/5; 0.8


1/4: 0.25


7/9: 0.7 put slash on top for repeat sign


Hope this helps *smiles*

2.
You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
B. A(n) = 1.5 • (0.74)^n–1 ; 0.33 cm
C. A(n) = 150 • (74)^n–1 ; 332,850,993,600 cm
D. A(n) = 0.74 • (1.5)^n–1 ; 5.62 cm

Answers

Answer:

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm

Step-by-step explanation:

This is a geometric sequence.

a%5B1%5D=1.5m=150cm, r=0.74

The formula is

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

Just substitute a1 = 150cm and r = 0.74

a%5Bn%5D=150%280.74%29%5E%28n-1%29

That's the rule.

For the second part, substitute n = 6

cm.

1 7/8 cups of ketchup times 3.​

Answers

Answer:

5 5/8 cups of ketchup

Step-by-step explanation:

1 7/8 x 3

15/8 x 3/1 = 45/8

45/8 = 5 5/8

I need help ASAP plzzzz

Answers

The square
Root of 36 is just six
Square root of 36 is 6. The answer would be choice D. 6x6=36

What is the total length of 3 pieces that are 1/4 foot long?

Answers

Answer:

3/4

Step-by-step explanation:

1/4 + 1/4 + 1/4 =3/4

or

1/4 x 3 = 3/4

Answer:

3/4 feet

Step-by-step explanation:

the common denominator (4) always stays the same.

you add the 3 pieces.

unit rate 18 people in 3 vans​

Answers

Answer:

6:1

Step-by-step explanation:

6 people per van

Answer:

6:1

Step-by-step explanation:

What is Pt=3x+4 and tq=5x-6

Answers

X=6 I believe answer

Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?

Answers

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

Peter- 6 kg
Mary- 12 kg
Lucy- 8 kg

pls some help im so stuck im stuck as a cat in a tree dude plz help i
ill give u 100 pointes

Answers

Answer:

It's the positive i, no matter what i is equal to.

I need to know what is the fraction, 2/5 as a decimal?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.

Answers

Answer:

y = -4/5x + 1

Step-by-step explanation:

The slope-intercept form:

y = mx + b, where m- slope, b- y-intercept

Use point (5, -3) and m = -4/5:

-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1

The line is:

y = -4/5x + 1

Answer:

b = 1

Step-by-step explanation:

We know that

y = mx + b

-3 = -4/5 × 5 + b

-3 = -20/5 + b

-3 = -4 + b

-3 + 4 = b

1 = b

Evaluate each expression if a = -1 and b = 6: a + b ab​

Answers

Answer:

[tex]a + b = - 1 + 6 = 5 \\ a \times b = 6 \times ( - 1) = - 6[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Evaluate each expression if a = -1 and b = 6:

a + b ab

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

(1) a + b = ?

Given, a = - 1 & b = 6. So, a + b = ?

[tex] \sf \: a + b = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf a + b \\ \sf \dashrightarrow( - 1) + (6) \\ = \large \boxed{\mathfrak{ 5}}[/tex]

__________________

(2) ab = ?

Given, a = - 1 & b = 6So, ab = ?

[tex] \sf \: ab \: = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf \: ab \\ \dashrightarrow \sf( - 1)(6) \\ \dashrightarrow \sf- 1 \times 6 \\ = \boxed{\mathfrak{ \bold- 6}}[/tex]

Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)

Plz help meee!

Answers

Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?

Answers

Answer:

18

Step-by-step explanation:

243÷13=18remainder9

mark me brainliest

Answer:

18

Step-by-step explanation:

243/13

-12/3*(-8+(-4)²-6)+2
122 right?

Answers

Answer:

-6

Step-by-step explanation:

[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]

[tex] (-4)² = 4²= 4×4 =16 [/tex]

[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]

[tex] -8 + 16-6= -14 + 16 = 2[/tex]

[tex] - 4( - 8 + 16 - 6) + 2[/tex]

[tex] - 4 \times 2 + 2[/tex]

[tex] - 8 + 2[/tex]

[tex] = - 6[/tex]

Solve 4x−9y=13 for y

Please help

Answers

Answer: i dont know

Step-by-step explanation: 4

Here is the work

The answer is -1.44 (4 is repeating)

someone help with this, asap ty.

Answers

Answer:

Still C br-uh

Step-by-step explanation:

The answer would be C. :)

A car is traveling at 35 mi/hour. What is the car's speed in feet per second?​

Answers

Answer:51.33ft/s

Step-by-step explanation:Just look at how many seconds are in a hour and divide by that

lập bảng biến thiên và tìm tập giá trị của y=2x-4

Answers

The answer is -8 (-8=2*-4)

Shanbi,s household consumes 45units of water one month.how many litres of water do they consumes​

Answers

I’m pretty sure the answer to this is five

how do I slove this equation

16x+2:4=2x

(7th grade)

Answers

Answer:

[tex]x = - \frac{1}{28} [/tex]

Step-by-step explanation:

is your answer

Hi how can I graph this if it dosn't have a slope?
1. y = (2/3)x - 1
y = -x + 4

Answers

System of Linear Equations entered :

[1] y - 2x/3 = -1

[2] y + x = 4

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - 2x = -3

[2] y + x = 4

Graphic Representation of the Equations :

-2x + 3y = -3 x + y = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 4

// Plug this in for variable x in equation [1]

[1] 3y - 2•(-y +4) = -3

[1] 5y = 5

// Solve equation [1] for the variable y

[1] 5y = 5

[1] y = 1

// By now we know this much :

y = 1

x = -y+4

// Use the y value to solve for x

x = -(1)+4 = 3

I hope this help you

Convert 120 Ibs to kilograms

Answers

Answer:

54.431 kilograms

Step-by-step explanation:

don't have step by step but 1kg is 2.205lbs

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