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2 years ago

15

Is -49 a rational number? please explain

1 answer:

aleksklad [387]2 years ago

7 0

Yes, because a rational number is any number that can be expressed as a fraction a/b where a/b are both integers, but cannot be zero.

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What is the side length, in inches, of the pets

tatiyna

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is $4x-5$ inches

Step-by-step explanation:

Given

Area of the square of design = $16x^{2} -40x+25$

First we find the roots of equation $16x^{2} -40x+25=0$

The roots of the quadratic equation $ax^{2} +bx^{2} +c=0$ are given by

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

where $a=16, b=-40, c=25$

$x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}$

$x=\frac{40\pm\sqrt{1600-1600}}{32}$

$x=\frac{40\pm\sqrt{0}}{32}$

$x=\frac{40}{32}$

$x=\frac{5}{4}$

$4x=5\\4x-5=0$

That is, the factors of the polynomial $16x^{2} -40x+25$ are $4x-5$ and $4x-5$ .

So, Area of the square design = $16x^{2} -40x+25$ = $(4x-5)^{2}$

Area of a square = Length^2

Thus, the length of the sign is $4x-5$ inches

7 0

3 years ago

Write the equation of the line that passes through the points (-9, -8) and (–6,6).

sveta [45]

Answer:

Slope - intercept form $y = \frac{14}{3} x + 34$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

$m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}$

The equation of the straight line passing through the points and having slope

$y - y_{1} = m ( x - x_{1} )$

$y - (-8) = \frac{14}{3} ( x - (-9) )$

3 y + 2 4 = 14 x + 126

3 y = 14 x + 126 - 24

3 y = 14 x + 102

$y = \frac{14}{3} + \frac{102}{3}$

$y = \frac{14}{3} x + 34$

Slope - intercept form y= mx +C

Slope - intercept form $y = \frac{14}{3} x + 34$

6 0

2 years ago

How can you use the data to understand what happened during the day?

makkiz [27]

What data are you talking about ?

7 0

3 years ago

John can type 2/3 of a manuscript in 12 hours. How much of the manuscript can John write in 1 hour?

Marina86 [1]

John can write 1/18 of the manuscript in 1 hour
Hope this helps!!

8 0

3 years ago

Read 2 more answers

Please help i know this is kind of easy but I am having a hard time with it unfortunately

Len [333]

Answer:

C

Step-by-step explanation:

y= 60(2)+10

y=130

y=65(2)

y=130

8 0

3 years ago