Given the endpoints D(-2, 3) and L(4,1)
Find the midpoint of DL.

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

Answer:

8x Should be the answer to the question

Answer:

Step-by-step explanation:

ccadcdddddddddddddddddddddddd

Answer:

it should be D

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 2x + 2 = 0 \: no \: solution \\x + 5 = 0 - \: \: \: \: \: x = - 5 \\ sox = - 5 [/tex]

   volume of a sphere = ⁴/₃ πr³

⇒      972π in³  = ⁴/₃ πr³

            729 in³ = r³

                   r    = 9 in

Answer:

9 inches

Step-by-step explanation:

Answer:

r  =  s /2  -  3 x /2

or

x  =  s /3  −  2 r/ 3

Step-by-step explanation:

Answer:

2r+3x=5

2r+3x+-3=5+-3x

2r=5-3x

2r/2=5-3x

2r/2=5-3x/2

r=1/2⁵ + -3/2x

r=1/2⁵ + -3/2x

hope it helps ya!

There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.

To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.

The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.

Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.

Now, we need to find out the value of n.

The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.

Therefore, n = 9 - 2 = 7.

We will substitute these values in the formula to get the required answer:

nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040

Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

For more questions on permutations

https://brainly.com/question/28065038

#SPJ8

Answer:

2(x-5)+6=14 is your starting equation, and then we solve:

2(x-5)+6=14

2(x-5)/2 +6=14/2

x-5+6=7

the first step is to divide by 2, so A :)))

Answer:

$560

Step-by-step explanation:

200+30x

x being each month

Answer:

$230

Step-by-step explanation:

Answer:

350$

Step-by-step explanation:

he usually makes $250, 60% more is $400, and 7/8 of $400 is $350

Answer:

When it’s time for annual performance reviews, if you plan on including pay raises, you need to know the simple math behind calculating pay increases correctly. Raises can be based on any number of things including a worker’s piers, standard industry rates, length of time on the job, the amount of work to do, and even whether or not the boss likes the employee or not. There are few, if any, laws that govern how and when increases are granted, so it’s up to you to determine what you’re willing to give.

Answer:

Step-by-step explanation:

Assume the person works 40 hours a week and 52 weeks a year.

The hourly pay would be:

The yearly income the second year:

Answer:

64

Step-by-step explanation:

88-24=64 which is the right answer

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

Answer:

[tex]Q.1)\:x=20[/tex]

[tex]Q.2)c=-4.7[/tex]

Step-by-step explanation:

[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]

Use the distributive property to multiply 7 by x+5 :

[tex]x+35=55[/tex]

Subtract 35 from both sides:

[tex]x+35-35=55-35[/tex]

[tex]x=20[/tex]

___________________________

[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]

[tex]-1.5+6.8=5.3[/tex]

[tex]c+5.3=0.6[/tex]

Subtract 5.3 from both sides:

[tex]c+5.3-5.3=0.6-5.3[/tex]

[tex]c=-4.7[/tex]

____________________________

Answer:

0.125

Step-by-step explanation:

(4)(-2)-3(-3)/3+5=

1/8=

0.125

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's evaluate :

In the given expression, let's plug the value of

so,

Answer:

yes

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

300/100 = $3 = 1%

$3 x 5 = $15 = 5%

$15 x 3 years = $45

Answer:

[tex]x \geqslant 3 [/tex]

Answer:

Step-by-step explanation:

Flat rate is the y- intercept b = 11.2

Charge per mile is the slope m = 3.1

The equation is:

12x - 2 = 12x

Step 1:

12x - 12x = 0

Step 2:

Bring down your -2 and your x

Answer:

x = -2

A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.

From the given information;

The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;

[tex]\mathbf{A = P ( 1+ r)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]

[tex]\mathbf{3 = 2( 1.045)^t}[/tex]

[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

t = 9.2 years

Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.

Learn more about simple interest here:

https://brainly.com/question/22621039?referrer=searchResults

Add 17 to both sides-

3s - 17 = 19

+17 +17

Now, divide both sides by 3-

3s/3 = 36/3

Which gives the answer of s = 12

hope this helps !! :)