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
cupoosta [38]
3 years ago
7

16. What are the values of a and b?

Mathematics
1 answer:
MrMuchimi3 years ago
4 0

Answer:

  a = 20; b = 2√101

Step-by-step explanation:

The triangle at upper left and the one at lower right are similar. Ratios of corresponding sides are equal, so ...

  200/a = a/2

  400 = a^2

  √400 = 20 = a

Then, by the Pythagorean theorem, the value of b can be found:

  b = √(a^2 + 2^2) = √(400 +4) = √4·√101

  b = 2√101

You might be interested in
Find slope <br> (3,8) and (7,-7)
Sidana [21]

Answer:

-15/4

Step-by-step explanation:

slope = change in y / change in x = (-7 - 8) / (7 - 3) = -15/4

8 0
3 years ago
What is the equation
AlexFokin [52]

Answer:

y=3x+1

Step-by-step explanation:

Determine slope with two coordinates and use it in the formula

4 0
3 years ago
An object was launched off the top of a building. The function f(x)=-16x^2+16x+672 represents the height of the object above the
Katarina [22]

Answer:

6x2 + 16x = 672

Reorder the terms:

16x + 16x2 = 672

Solving

16x + 16x2 = 672

Solving for variable 'x'.

Reorder the terms:

-672 + 16x + 16x2 = 672 + -672

Combine like terms: 672 + -672 = 0

-672 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.

16(-42 + x + x2) = 0

Factor a trinomial.

16((-7 + -1x)(6 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms: 0 + 7 = 7

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {-7, 6}

Step-by-step explanation:

4 0
3 years ago
Isabelle has 27 cough drops. She divides them evenly between
Flauer [41]

Answer:5

Step-by-step explanation:

27/3=9 divided between herself and 2 friends

9-4=5 she eats 4

5 0
3 years ago
What is the solution to the following system of equations?
liraira [26]

Answer:

x = 6 ,  y = -2

Step-by-step explanation:

2 x + 3 y = 6  (Equation 1)

x + y = 4        (Equation 2)

<u>Solving by substitution</u> :

(Equation 2) ⇒ y = 4 - x

<u>Substitute y by 4 - x in (equation 1)</u> :

2 x + 3 (4 - x) = 6

Then

2 x + 12 - 3x = 6

Then

12 - x = 6

Then

12 - 6 = x

Then

x = 6

<u>We obtain</u> :

y = 4 - x and x = 6

Then

y = 4 - 6

  = -2

6 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone please come and help me out?
    9·2 answers
  • What is the answer for -7=6x-1
    5·2 answers
  • 7th grade math , I’ll give brainliest
    7·2 answers
  • Write an equation to represent the image. The tape diagram represents an equation. Write an equation to solve 11. 5. b​
    14·2 answers
  • A square has an area of 49 square feet. what is the perimeter of the square?
    15·1 answer
  • I need help whats the closer 3 or 7 whats in the mittle
    9·1 answer
  • Help fam I have no braincells left
    8·1 answer
  • Does anybody have the backward 3 with a dot on the top and bottom symbol for and? If so can somebody please put it in the answer
    8·1 answer
  • Original price $69.80 with a 15% discount, what is the new price.
    7·2 answers
  • Find the measure of angle A.<br> 66°<br> x +49<br> x+83
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!