MATHEMATICS HIGH SCHOOL

Can some one help me find the x in this problem 19+7x​

Answers

Answer 1
Answer:

Answer:

x=-2(5)/(7)

Step-by-step explanation:

19+7x\n

Subtract 19 both sides.

19-19+7x=-19\n0+7x=-19\n7x=-19

Divide 7 on both sides to isolate x.

(7x)/(7)=(-19)/(7)     -->  x=-(19)/(7)

Transform form improper to proper form.

-(19)/(7)=-2(5)/(7)\nx=-2(5)/(7)

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What is the radius for this given equation? (x^2+10x) + (y^2-8y)=59

Answers

Answer:

The answer to your question is r = 10

Step-by-step explanation:

Data

            (x² + 10x   )  +  (y² - 8y   ) = 59

Process

1.- Complete the perfect square trinomials

             (x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²

2.- Simplify

             (x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16

3.- Factor

             (x + 5)² + (y - 4)² = 100

or             (x + 5)² + (y - 4)² = 10²

4.- Compare the result with the standard form

                 (x - h)² + (y - k)² = r²

then r² = 10²

and  r = 10

The circumference of a circle is 12 pi inches. find its radius and area the radius of the circle is____inthe area of the circle is _____in^2

Answers

The circumference of a circle has the formula: 2*pi*r. So, we could easily determine the value of r.

C = 2*pi*r
12*pi = 2*pi*r
12 = 2r
r = 12/2
r = 6 inches

Knowing the r, we could find the area which has the formula

A = pi*r^2
A = pi*6^2
A = 113.1 square inches

Use slope and y intercept to graph a line. y=2x-5

Answers

On your graph:

-- Mark a dot on the y-axis, at y = -5 .

-- From there, move 1 unit to the right and 2 units up and make a mark.  If this
is too tiny for you, then you can move 7 units to the right and 14 units up, or
11 units to the right and 22 units up ... any way you want to do it, as long as
the distance 'up' is double the distance to the right, because the slope is 2 to 1.
Wherever you wind up, mark a dot.

-- Using your pencil and your ruler, draw a straight line between the two dots you have
marked.  You may extend it as far as you wish in either or both directions.
m=2,b=-5 where m is the slope and b is the y-intercept

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Answers

Answer:

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Answer:

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Answers

3/5 + 2 3/4
= 3/5 + 11/4
= 12/20 + 55/20
= 67/20
= 3 7/20

Answer:

3/5 + 2 3/4 = 3 7/20

Step-by-step explanation:

2 = 8/4

2 3/4 = 2 + 3/4

then:

3/5 + 2 3/4 = 3/5 + 8/4 + 3/4

= 3/5 + (8+3)/4

= 3/5 + 11/4

3/5 = 12/20

11/4 = 55/20

then:

3/5 + 11/4 = 12/20 + 55/20 = 67/20

67/20 = 60/20 + 7/20 = 3 + 7/20

= 3 7/20

Suppose you have 52 feet of fencing to enclose a rectangular dog pen. where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

Answers

Answer:

Width which gives maximum area = 13 feet

Maximum Area = 169 feet^2

Step-by-step explanation:

Given: 52 feet of fencing means Perimeter of rectangular dog pen.

If Total length of the boundary of rectangle (.i.e., Perimeter) is fixed then the rectangle with equal sides has the maximum area.

Width = x (given)

∴ for maximum area let length = x

Perimeter of rectangle = 52 feet

2 × (Length + Width) = 52

2 × ( x + x ) = 52

2 × ( 2x ) = 52

4x = 52

x = (52)/(4)

x = 13 feet.

Maximum Area = Length × Width

                          = 13 × 13

                          = 169 feet^2

Width which gives maximum area = 13 feet

Maximum Area = 169 feet^2

Maximum Area = 169 feet^2
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