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3 years ago

Can i have help please? thank you.

Mathematics

1 answer:

Otrada [13]3 years ago

3 0

A^2 + b^2 < c^2 (acute)
a^2 + b^2 = c^2 (right)
a^2 + b^2 > c^2 (obtuse)

24^2 + 32^2 ? 40^2
576 + 1024 ? 1600
1600 = 1600 (this is a right triangle)

You might be interested in

Factor Quadratics

lawyer [7]

Answer:

Let's factor x2+3x−18

x2+3x−18

The middle number is 3 and the last number is -18.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 3

Multiply together to get -18

Can you think of the two numbers?

Try -3 and 6:

-3+6 = 3

-3*6 = -18

Fill in the blanks in

(x+_)(x+_)

with -3 and 6 to get...

(x-3)(x+6)

Answer:

(x−3)(x+6)

Step-by-step explanation:

3 0

3 years ago

Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/

Neko [114]

Answer: Hence, Option (6) and (8) are correct as their value is also "-8".

Step-by-step explanation:

Since we have given that

$\frac{2}{3}(6x+12)=-24$

First we need to solve to get the value of 'x' :

$\frac{2}{3}(6x+12)=-24\\\\6x+12=\frac{3}{2}\times (-24)\\\\6x+12=3\times (-12)\\\\6x+12=-36\\\\6x=-36-12\\\\6x=-48\\\\x=\frac{-48}{6}\\\\x=-8$

Therefore, x=-8

Now, we will check all the options :

1) 4x+8=24

$4x+8=24\\\\4x=24-8\\\\4x=16\\\\x=\frac{16}{4}=4$

2) 9x+18=-24

$9x+18=-24\\\\9x=-24-18\\\\9x=-42\\\\x=-4.67$

3) 4x+12=-24

$4x+12=-24\\\\4x=-24-12\\\\4x=-36\\\\x=\frac{-36}{4}=-9$

4) 18x+36/2=-24

$18x+18=-24\\\\18x=-24-18\\\\18x=-42\\\\x=-2.34$

5) 4x=-36

$x=\frac{-36}{4}=-9$

6) 4x=-32

$x=\frac{-32}{4}=-8$

7) x=-9

8) x=-8

Hence, Option (6) and (8) are correct as their value is also "-8".

5 0

4 years ago

Read 2 more answers

Determine for which values of m the function variant Φ(x) = x^m is a solution to the given equation. a. 3x^2 (d^2y/dx^2) + 11x(d

miv72 [106K]

Answer:

a) m = -9 or m = 1

b) m = 1 + √6 or m = 1 -√6

Step-by-step explanation:

for

Φ(x) = x^m

then

dΦ/dx (x) = m*x^(m-1)

d²Φ/dx² (x) = m*(m-1)*x^(m-2)

then

for a

3x^2 (d^2y/dx^2) + 11x(dy/dx) - 3y = 0

3x^2*m*(m-1)*x^(m-2) + 11*x* m*x^(m-1) - 3*x^m = 0

3*m*(m-1)*x^m + 11*m*x^m- 3*x^m = 0

dividing by x^m

3*m*(m-1) + 11*m - 3 =0

3*m² + 8 m - 3 =0

m= [-8 ± √(64 + 4*3*3)]/2 = (-8±10)/2

m₁ = -9 , m₂= 1

then Φ(x) = x^m is a solution for the equation a , when m = -9 or m = 1

for b)

x^2 (d^2y/dx^2) - x(dy/dx) - 5y = 0

x^2*m*(m-1)*x^(m-2) - x* m*x^(m-1) - 5*x^m = 0

m*(m-1)*x^m -m *x^m- 5*x^m = 0

dividing by x^m

m*(m-1) -m - 5 =0

m² - 2 m - 5 =0

m= [2 ± √(4 + 4*1*5)]/2 = (2±√24)/2 = 1 ±√6

m₁ = 1 + √6 , m₂ = 1 - √6

then Φ(x) = x^m is a solution for the equation b , when m = 1 + √6 or m = 1 - √6

7 0

3 years ago

Read 2 more answers

Whats the original price if its a 20% discount and cost 75$

zvonat [6]

The original price would be $93.75

3 0

3 years ago

Can yall help me with this? Thank you!

Ray Of Light [21]

Answer:

1260 degrees (1260°)

Step-by-step explanation:

Formula to Find Sum of Interior Angles of a Polygon

180 (n - 2)
n is the number of sides of the polygon

Nonagon (9-sided polygon)

180 (9 - 2)
180 × 7
1260 degrees (1260°)

4 0

3 years ago