19.The sum of two numbers is 22, and their difference is 12. What are the numbers?

Answer for

14

=

2

x

^2

+

x

Step-by-step explanation:

Rewrite the equation as  2

x^

2

+

x=

14

.

2

x

^2

+

x

=

14

Move  14  to the left side of the equation by subtracting it from both sides.

2

x

^2

+

x

−

14

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

^2

−

4

(

a

c

)

       2

a

Substitute the values  a

=

2

,  b

=

1

, and  c

=

−

14  into the quadratic formula and solve for  x

.

−

1

±

√

1

2

−

4

⋅

(

2

⋅

−

14

)

        2

⋅

2

Simplify the numerator.

x

=

−

1

±

√

113

    2

⋅

2

Multiply  2  by  2

.

x

=

−

1

±

√

113

      4

The final answer is the combination of both solutions.

x

=

−

1

−

√

113

 -  1

+

√

113  

       4               4

The result can be shown in multiple forms.

Exact Form:

x

=

−

1

−

√

113  

,  −

1

+

√

113

4

      4               4

Decimal Form:

x

=

2.40753645

…  ,  −

2.90753645

…

The correct value of x is 4.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The equation is

1 – (2x + 4) = –4x + 5,

we have to find the correct solution of the equation;

According to given question we have,

Step 1: Open the parenthesis we  get,

1 – (2x + 4) = –4x + 5

1-2x-4 = -4x + 5

1-4-2x = -4x +5

-3-2x = -4x + 5

Step 2: Collect like terms we  get,

-2x + 4x = 5 + 3

2x = 8

Step 3: divide both sides by 2 we  get,

2x/2 = 8/2

x = 4

Hence the correct value of x is 4.

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Answer:

$519.948

Step-by-step explanation:

Answer:

y=-3x+9

Step-by-step explanation:

The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below.  Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there.  Now all that's left to find is the y-intercept (b).  To find the y-intercept, choose one of the points on the line.  It does not matter which point you choose (just pick the one that looks easiest to you).  Plug in the values for x and y into the equation and solve for b.

Answer:

y = x + 5

Step-by-step explanation:

Find any two points:

(1, 6)

(2, 7)

Slope = (y2 - y1) / (x2 - x1)

S0:

7 - 6 / 2 - 1

1 / 1

So slope = 1

Equation:

y = mx + b

Plug in the numbers using the x and y of any points:

7 = m * 2 + b

Add m (which is the slope):

7 = 1 * 2 + b

7 = 2 + b

Subtract two from both sides:

5 = b

So our equation is:

y = x + 5

Please let me know if I've done anything wrong!

Answer:

y = x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = x + 5 ← equation of line

Answer:

If two angles are vertical angles, then they are congruent.

Step-by-step explanation:

If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

angles ABD and DBC are complementary

Now, we get,

Hence,  If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

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Answer: 260

Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.

Answer:

89

Step-by-step explanation:

+-l

Answer: y=4

Step-by-step explanation:

4-5y=-16

(-5y +4)+ (-4)= -16 +(-4)

_5y+4-4=-16-4

-5y=-20

5y/5=20/5

2*2

y=4

Answer:b

Step-by-step explanation:f(x)=|x|

Answer:

For question one, your answer is that the daily change in the stock market is 13 points

(You would basically be dividing for both answers)

For question two, the answer is around 6 feet in depth

Step-by-step explanation:

Answer:

1.) 13

2.)either 600 or -600

Step-by-step explanation:

For #1, you would Divide 5 from 65 which equals 13.

For #2, all you practically do is multiply 60 by 10 which equals 600 but since u are going underwater (depth) it would most likely be -600

Hopes This helps :)

Answer: Plz mark me brainlest

Step-by-step explanation:

You can factor out a 2, so do that first

2(x^2 - 13x + 30) = 0

Now look at x^2 - 13x + 30.  Since you have a positive last term and a negative middle term, then you're looking for something in the form of (x - ?)(x - ?).  We have to find two numbers whose product is 30 and whose sum is 13.  The numbers must be 10 and 3:

2(x-3)(x-10) = 0

Answer:

The first multiple of 7 = 14 or -21

The second multiple of 7 = 21 and -14

Step-by-step explanation:

Let

The first multiple of 7 = 7x

The second multiple of 7 = 7(x+1)

Square of the first multiple = (7x)^2

Square of second multiple = {7(x+1)}^2

Sum

(7x)^2 + 7(x+1)}^2 = 637

49x^2 + 49(x+1)^2 = 637

Divide through by 49

x^2 + (x+1) = 13

Open bracket

x^2 + x^2 + 1 + 2x = 13

Subtract 13 from both sides

x^2 + x^2 + 1 + 2x - 13 = 13 - 13

x^2 + x^2 + 1 + 2x - 13 = 0

2x^2 + 2x - 12 = 0

Divide through by 2

x^2 + x - 6 = 0

Solve the quadratic equation using factorization method

x^2 + 3x - 2x - 6 = 0

x(x+3) - 2(x+3) = 0

(x - 2) (x+3) = 0

x - 2 = 0

x = 2

x+3 = 0

x = -3

Substitute x = 2 or -3 into 7x

When x= 2

7(2) = 14

When x = -3

7(-3) = -21

The first multiple of 7 = 14 or -21

Substitute x = 2 or -3 into 7(x+1)

When x= 2

7(2+1) = 7(3) = 21

When x = -3

7(-3+1) = 7(-2) = -14

The second multiple of 7 = 21 and -14

Answer:

-2

Step-by-step explanation:

Rearrange:4*x+12-(-2*x)=0

Pull out like factors:6x + 12  =   6 • (x + 2)

Solve:x+2=0

Subtract 2 from both sides of the equation:x = -2

Answer:

x = -2

Step-by-step explanation:

4x + 12 = -2x

4x + 12-12 = -2x - 12

4x = -2x - 12

4x + 2x = -2x - 12 + 2x

6x = -12

x = -2

Answer:

y=-3/2x-2

Step-by-step explanation:

The area of the floor required to cover using carpet is equal to 24 square yards .

To calculate the area of the room in square yards,

convert the dimensions from feet to yards and then find the product of the length and width.

1 yard (yd) = 3 feet (ft)

Room length in yards

= 18 feet / 3 feet/yd

= 6 yards

Room width in yards

= 12 feet / 3 feet/yd

= 4 yards

Now, find the area of the room in square yards:

Area = Length × Width

Area = 6 yards × 4 yards = 24 square yards

Therefore,  24 square yards of carpet area required to cover the floor of the room.

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make two of this figure and keep one like that and rotate the other until they line up correctly an make a rectangle, then you will see the 30 degree angle is only half of the top square. since this is true, the top square= 60 degrees. y= 20   x= 40

Answer:

Option C: Line s

Step-by-step explanation:

Let's refer to plane H as being 2D since we are dealing with lines.

Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.

Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.

This means that line q and line t are parallel to each other.

Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.

Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t

Thus, it means lines r and s are both perpendicular to lines q and t

Now, we are told that line p goes through r and s.

However, we want to find which line is parallel to line r.

From earlier statement we saw that lines r and s are parallel to each other.

Thus; correct answer is "line s"

Answer:

C

Step-by-step explanation:

Just did quiz on edge

Answer:

-16

Step-by-step explanation:

Or you could use desmos scientific calculator

Answer:

[tex]=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{3+3} }{8x} \\\\\frac{1+3}{8} \\\\\frac{4}{8} \\\\\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

Answer: C. 7

Step-by-step explanation:

Answer:

The square root of a positive number greater than 1 is less than the number.  TRUE

The square root of a positive number is always less than half of the number itself.  FALSE

The square root of a positive number less than 1 is less than the number.   FALSE

The square root of a perfect square INTEGER is AN INTEGER; the square root of a perfect square such as one fourth is one half, not a whole number.  THIS QUESTION NEEDED QUALIFICATION OF "number"

The square root of a positive number less than 1 is between 0 and 1. TRUE

Answer:

actual answe is root under 2

Answer:

315 hamburgurs could be a possible answer

Step-by-step explanation:

Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.

Answer:

Step-by-step explanation:

the parallel lines have same slope

slope(m) = 4

Answer:

D. Y=-3/2x-3

Step-by-step explanation:

(0,-3)

-3=-2/3(0)+b

-3=b

y=-3/2x+3 parallel slope is -3/2

Y=-3/2x-3

Answer:

A = 10%   B = 50%   C=75%

Step-by-step explanation:

A is 1/10 that is 10%

B is 1/2 that is 50%

C is 3/4 that is 75%

Fractions and percentages can be useful together

Answer: 5 2/15

Step-by-step explanation: hope this helps :) plz mark brainlest if it does :)

Answer:

The third one

Step-by-step explanation: