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SIZIF [17.4K]
1 year ago
15

Type a digit that makes this statement true. 5,091,71 is divisible by 8. Submit

Mathematics
2 answers:
worty [1.4K]1 year ago
8 0
The right answer is "2"
the divisiveness rule says that the number which it's last two digit is divisible to 4 and 2 is divisible to 8 so if you add another digit you have to make it divisible to 4 and 2 which in this case is number "2"
Harlamova29_29 [7]1 year ago
3 0
The digit that makes this statement true is 2
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Which best explains why the equation y=2x+3 does or does not represent a proportional relationship?
pav-90 [236]

Answer:

It represents a non-proportional relationship

Step-by-step explanation:

because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).

4 0
2 years ago
X^2-5x-6<br> X^2+3x-40<br> X^2+3x-4
luda_lava [24]

x² - 5x - 6

= x² + x - 6x - 6

= x(x + 1) - 6(x + 1)

= (x - 6) (x + 1)

x² + 3x - 40

= x² + 8x - 5x - 40

= x(x + 8) -5(x + 8)

= (x - 5) (x + 8)

x² + 3x - 4

= x² + 4x - x - 4

= x(x + 4) -1(x + 4)

= (x - 1) (x + 4)

4 0
3 years ago
I need a step by step explanation on this problem:
miss Akunina [59]

Answer:

Dividing by 7

Step-by-step explanation:

1. Find the common term in the fraction 7

divided all by 7

4 0
2 years ago
X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
Find the value of x such that the data set has a mean of 103.<br><br> 99,122,103,113,109,x
Mashcka [7]
That means the average of all data point equal:

(99+122+103+113+109+x)/6 = 103
===> (546+x)/6 = 103===> 546+x=618 & x=618-546=72, so x =72
8 0
3 years ago
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