All categories

2 years ago

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

Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would b

Ede4ka [16]

Let x represent number of wrong questions answered by Aaron.

We have been given that Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. We are asked to find Aaron's score (out of 20) if he got 6 questions wrong.

To find Aaron's score, we will subtract number of wrong answers from total score.

$\text{Aaron's score}=\text{Total score}-\text{Number of wrong answers}$

$\text{Aaron's score}=20-6$

$\text{Aaron's score}=14$

Therefore, Aaron's test scores would be 14 out of 20.

To find Aaron's score if he got x questions wrong, we will subtract x from total scores that is $20-x$ .

Therefore, Aaron's score would be $20-x$ , if he got x questions wrong.

4 0

3 years ago

Is y= 3(1/2)^x increasing or decreasing?

Zigmanuir [339]

Answer: Hey I looked on a graphing calculator on Desmos, and its seems that this is increasing.

Step-by-step explanation:

5 0

2 years ago

Jessica needs to make a necklace for 3 of her friends, including her. she wants to use 4.5 inches of string for each necklace. s

hoa [83]

Answer:

She can make two necklaces with 10 inches. 8 more inches

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which

tresset_1 [31]

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

5 0

3 years ago

The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W

Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

$x^2+y^2+4x-12y+4=0$

Collect like terms and subtract 4 from both sides:

$\implies x^2+4x+y^2-12y=-4$

Complete the square for both variables by adding the square of half of the coefficient of $x$ and $y$ to both sides:

$\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2$

$\implies x^2+4x+4+y^2-12y+36=-4+4+36$

Factor both variables:

$\implies (x+2)^2+(y-6)^2=36$

Therefore:

center = (-2, 6)
radius = √36 = 6

7 0

1 year ago