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4 years ago

How many solutions exist for the system of equations below?

Mathematics

1 answer:

Juliette [100K]4 years ago

4 0

Answer:

Infinity many solutions

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Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Vika [28.1K]

Step-by-step explanation:

B (-8,-6)

C (-10, -6)

D (-10,2)

E (-8,2)

5 0

3 years ago

Help me with both plz

Lunna [17]

1 is 16 units and 2 is idk

3 0

4 years ago

Read 2 more answers

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

8 0

3 years ago

En cuál de los siguientes procedimientos se resuelven sin error las siguiente operaciones?

myrzilka [38]

D. $\frac{(8)\cdot (-7)\cdot (6)}{(-4)\cdot (-2)\cdot (-3)} = \frac{-336}{-24} = 14$

Por álgebra, recordamos los siguientes dos teoremas llamados teorema del signo para productos:

$(-x)\cdot y = x\cdot (-y) = -x\cdot y$ , $\forall \,x,y\in \mathbb{R}$ (1)

$(-x)\cdot (-y) = x\cdot y$ , $\forall \,x,y\in \mathbb{R}$ (2)

Basados en la información dada en la imagen y los teoremas descritos arriba, el producto del numerador debe ser negativo y el producto del numerador debe ser también negativo, más el resultado de la división debe ser positiva.

Por tanto, la opción D representa a la operación libre de errores.

5 0

3 years ago

Evaluate the function when x = -5.<br> f(x) = 2x + 7<br> answer:

Ket [755]

Answer:

Step-by-step explanation:

Replace x with -5

2(-5)+7

-10+7

-3

3 0

3 years ago

Read 2 more answers