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3 years ago

|5x + 5| - 7 = 18

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer: C x=4 & x= -6

Step-by-step explanation:

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What is the slope on the graph

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Answer:

4/5

Step-by-step explanation:

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3 years ago

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Find the volume of the prism.

svlad2 [7]

Answer:

210

Step-by-step explanation:

V = B h

B = 8 1/3 * 4 1/5 = 35

V = 35*h

h= 6

35*6 = 210

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2 years ago

The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

3 years ago

Which ordered pair is the solution to the system of equations?

r-ruslan [8.4K]

Step-by-step explanation:

y = 2x - 15

4x + 3y = -5

4x + 3(2x - 15) = -5

4x + 6x - 45 = -5

10x = 40

x = 40/10

x = 4

y = 2x - 15

y = 2(4) - 15

y = 8 - 15

y = -7

Solution = (4,-7)

Option → C

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3 years ago

What was the mistake? *

seropon [69]

Answer

Step-by-step explanation:

4 0

3 years ago