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2 years ago

Plz help me to find the empty spaces in these:)

Mathematics

1 answer:

Reil [10]2 years ago

5 0

Answer:

#2: y-intercept=-2

Bottom left graph: Slope:4/2

y-intercept:-2

Equation: y=4/2x-2

Bottom right graph: Slope:-2

y-intercept:8

Equation: y=-2x+8

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The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

Marizza181 [45]

Answer:

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

$L=w+2$

now, we can find area

$A=L\times W$

now, we can plug it

$A=(w+2)\times w$

$A=w^2+2w$

we are given area =6

so, we can set it equal

and then we can solve for w

$w^2+2w=6$

$w^2+2w-6=0$

we can use quadratic formula

$ax^2+bx+c=0$

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

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

$w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}$

$w=-1+\sqrt{7},\:w=-1-\sqrt{7}$

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

7 0

3 years ago

What is the value of x in the equation 6(x + 1) -5x = 8 + 2(x - 1)?<br> ξOOOO<br> ño AV Alo o

katrin2010 [14]

Answer:

x = 0

Step-by-step explanation:

6(x + 1) -5x = 8 + 2(x - 1)

6x + 6 - 5x = 8 + 2x - 2

6x - 5x - 2x = 8 - 2 - 6

- x = 0

8 0

3 years ago

Read 2 more answers

What is the slope of the line passing through the points (−1, 3) and (4, −7) ?

GuDViN [60]

The slope is the change in Y over the change in X.

Change in Y = -7 - 3 = -10

Change in x = 4 - (-1) = 4+1 = 5

Slope = -10/5 = -2

3 0

3 years ago

Read 2 more answers

Which of the following shows that polynomials are closed under subtraction when two polynomials, (4x2 − 8x − 7) − (3x2 − 5x + 16

Valentin [98]

Answer:

$x^{2} -3x-23$ ; will be a polynomial

Step-by-step explanation:

Given:

Two polynomials $(4x^{2} - 8x -7)- (3x^{2}-5x + 16)$ has to be subtracted

$(4x^{2} - 8x -7)- (3x^{2}-5x + 16)\\4x^{2} - 8x -7- 3x^{2}+5x -16\\4x^{2} - 3x^{2}- 8x+5x -16 -7\\x^{2} - 3x -23$

By Definition of polynomial which states:

"A polynomial is an algebraic expression with a finite number of terms and are termed in the form "axn" where "a" is a real number, "x" means to multiply, and "n" is a non-negative integer."

$x^{2} -3x-23$ ; will be a polynomial

4 0

2 years ago

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If y varies inversely as x and x = 9 when y = 45 , find x when y = 9 .

Advocard [28]

45
__________________

3 0

3 years ago