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
Reil [10]
2 years ago
13

Write the Pythagorean theorem equation in an equivalent form with the a² isolated.

Mathematics
2 answers:
SashulF [63]2 years ago
8 0

Answer:

A^2=-B^2+H^2

Step-by-step explanation:

A^2+B^2=H^2

Isolate A^2. Subtract B^2 from both sides.

A^2=-B^2+H^2

Hope this helps :)

maria [59]2 years ago
6 0

Answer:

a^{2}= -b^{2}+c^{2}

Step-by-step explanation:

Rewrite the Pythagorean Theorem equation in terms of a^{2}.

a^{2}+b^{2}=c^{2}

Subtract b squared from both sides.

a^{2}= -b^{2}+c^{2}

You might be interested in
Perform the indicated operation. -10 + 15 <br><br> -5 <br> 5 <br> 25 <br> -25
Ulleksa [173]
The answer is 5 because if you add 10 to -10 it is 0 then add the 5 more and it is 5.
8 0
3 years ago
A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
Noah tried to prove that cos(θ)=sin(θ) using the following diagram. His proof is not correct.
alukav5142 [94]

Answer:

The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.

The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.

3 0
3 years ago
Read 2 more answers
6-3/4x+1/3=1/2 x+5<br> a.2<br> b.3<br> c.6<br> d.12
Gekata [30.6K]
6-3/4x+1/3=1/2x+5
6+1/3-5=1/2x+3/4x
4/3=5/4x
x=16/15
5 0
3 years ago
The junior class of Eastlake High School has 146 students, and 67 of them are girls. How many boys are there in the class?
Katena32 [7]

Hello!

In order to find how many boys there are in the class simply subtract 67 from 146:

146-67= 79

There are 79 boys in the class

I hope it helps!

6 0
3 years ago
Other questions:
  • Create an example of a situation where there is a negative cash flow.
    6·2 answers
  • Susan buys 6 paint sets each set contains the same number of brushes she buys 18 brushes how many brushes are in each paint set
    15·1 answer
  • $9 is what percent of $20
    11·1 answer
  • Three employees each clocked a different number of hours worked this week. Which employee has the highest earnings per hour? doc
    15·1 answer
  • What is 27/5 as a mixed number
    8·2 answers
  • What is 1 7/8 • 5/6<br> And 2 1/3 • 5/16
    5·1 answer
  • Please help me !!!!!!
    12·1 answer
  • Find the surface area of the figure
    11·1 answer
  • Which equation is TRUE?
    15·1 answer
  • I WILL GIVE A BRAINLIST
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!