1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novosadov [1.4K]
3 years ago
13

Find the value of z​

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

z = 12 \sqrt{5}

Step-by-step explanation:

By geometric mean property:

y =  \sqrt{24 \times 6}  \\  \\ y =  \sqrt{144}  \\  \\ y = 12

By Pythagoras Theorem:

z =  \sqrt{ {12}^{2}  +  {24}^{2} }  \\  \\ z =  \sqrt{144 + 576}  \\  \\ z =  \sqrt{720}  \\  \\ z = 12 \sqrt{5}

You might be interested in
I need help due today at 6
Fofino [41]

Answer:


Step-by-step explanation:


3 0
3 years ago
Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
3 years ago
Write an equation in point-slope form of the line that passes through the point (9,0) and has a slope of m=-3 .
aksik [14]

Answer:

y =  - 3x + 27

Step-by-step explanation:

The standard form for the equation of the line is

y = mx + c

Recall that:

y = 0 \:  \:  \: x = 9 \:  \:  \: m =  - 3 \\ y = mx + c \\ 0 =  - 3(9) + c \\ 0 =  - 27+ c \\ 27 = c

Therefore the equation of the line is:

y = mx + c \\ y =  - 3x + 27

5 0
2 years ago
2 less than five times a number.
Reika [66]

Answer:

X will be the number.  

5 times that number X is 5X

2 less than 5 times the number is 5X - 2

Hope this helps! Plz mark brainliest! (づ ̄3 ̄)づ╭❤~

8 0
3 years ago
Read 2 more answers
A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?
scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

  • Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

  • Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
  • Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

5 0
4 years ago
Other questions:
  • How do you solve this ?
    8·1 answer
  • Mitch is buying candy bars for his friends he wants to give to 2 bars to each friend he wants to be to have 10 spare bars you ca
    15·2 answers
  • What are the factors of 21?
    6·1 answer
  • a countrys population in 1992 was 72 million in 1998 it was 76 million estimate the population in 2012 using the exponential gro
    13·1 answer
  • The question is on the picture
    15·1 answer
  • I need help on this one please
    5·2 answers
  • What is the value of x in the equation (5x+3)?
    14·1 answer
  • Find the domain of f(x) = 3x for the range {-7, -1, 3, 11}.<br> =
    13·1 answer
  • Tony is borrowing $10 from his mom every week for buying more toy cars for his Hot Wheels collection. How much money does he owe
    10·2 answers
  • Natalie is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the box.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!