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3 years ago

This system of equations has infinitely many solutions. Which

Mathematics

1 answer:

ira [324]3 years ago

4 0

Answer:

The graphs of the equation are parallel lines.

Step-by-step explanation:

If the equations have infinitely many solutions that means that they are the exact same line one on top of the other. Parallel lines have no solution so that is false

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THIS QS with explanation sum

Anestetic [448]

Answer:

X = 276°

Step-by-step explanation:

Divide X into x1 and x2

then then using the trick of co-interior angles, find the answer of x1 and x2 . then add x1 and x2

6 0

3 years ago

Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5

Rudiy27

I used bionomial expansion up to and including the term $x^{3}$

$(-3 + x)^{5}$

$-3^{5} (1 + -\frac{1}{3}x) ^{5}$

$-243 (1 + -\frac{1}{3}x) ^{5}$

n = 5
x = $- \frac{1}{3}x$

Binomial expansion:

$1 + nx + \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}$

Therefore:

$1 + (5*- \frac{1}{3}x) + \frac{5(4) (- \frac{1}{3}x)^{2} }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3} }{6}$

=

$1 - \frac{5}{3} x + \frac{10}{9} x^{2} - \frac{10}{27} x^{3} 

$

Multiply by -243

=

$-243 + 405x - 270x^{2} + 90 x^{3} 
$

3 0

3 years ago

Read 2 more answers

What is the area of the shaded portion of the circle? (16π – 32) in2 (16π – 8) in2 (64π – 32) in2 (64π – 8) in2

GrogVix [38]

Answer:

(16π - 32) in²

Step-by-step explanation:

In the picture attached, the circle is shown.

Area of one-quarter of circle = 1/4*Area of a circle = 1/4*π*radius² = 1/4*π*8² = 16π in²

Area of the triangle = 1/2*base*height = 1/2*8*8 = 32 in²

Shaded area = Area of one-quarter of circle - Area of the triangle = (16π - 32) in²

5 0

3 years ago

Answer the photo below thanks

Crazy boy [7]

Answer:

307cm²

Step-by-step explanation:

This is a composite firgue so we need to split the two shapes, then find the area of both.

find the area of the rectangle

A=b*h

A=18*10

A=180

then find the area of the semicircle

A=1/2Pi*r²

A=1/2Pi*81

A=127.75 (We need to find the radius of the semicircle then square it)

then add the two areas 180+127.75=307.75

find the closet unit its

307cm²

7 0

3 years ago

What is the measure of AC?

Jlenok [28]

Answer:

5 blocks

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for AC

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AC² = AB² + BC² ← substitute values

AC² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

AC = $\sqrt{25}$ = 5

8 0

3 years ago