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exis [7]
2 years ago
15

Is -49 a rational number? please explain

Mathematics
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
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