Write the prime factorization of 126.

Answer:

13

Step-by-step explanation:

Assuming that this is a right triangle, we can use the Pythagorean theorem.

[tex](length-of-leg-1)^2+(length-of-leg-2)^2 = (length-of-hypotenuse)^2\\15^2 + x^2 = (\sqrt{394} )^2\\225 + x^2 = 394\\x^2 = 169\\x = 13[/tex]

Hope that helped!  

Answer:

3 ×-2 - (2×1) + 2

-6 - 2 + 2

= -6

Answer:

10

Step-by-step explanation:

[tex]| 3(-2)-2(1)|+2\\[/tex]

Solve inside the absolute value(Between the two lines).

[tex]|3(-2)-2(1)|+2\\|-6-2|+2\\|-8|+2\\8+2=10[/tex]

Quick Tip...

Anything between absolute values will result in positive form.

Such as -3=-3 but |-3|=3 or |-9+1|=|-8|=8 where positive over-rides(Not sure if I spelled that right) negative.

Or |4|=4.

Answer:

see explanation

Step-by-step explanation:

If (5, - 4) is a solution to the system then both equations will be true when (5, - 4) is substituted into them.

Substitute (5, - 4) into the left side of the equations and if equal to the right side then (5, - 4) is a solution.

3(5) - 2(- 4) = 15 + 8 = 23 = right side

2(5) + (- 4) = 10 - 4 = 6 = right side

Then (5, - 4) is a solution to the system of equations.

or by solving

3x - 2y = 23 → (1)

2x + y = 6 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

4x + 2y = 12 → (3)

Add (1) and (3) term by term to eliminate y, that is

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

2(5) + y = 6

10 + y = 6 ( subtract 10 from both sides )

y = - 4

Solution is (5, - 4 )

Using the concept of simultaneous equation, the solution to the system of equations is (5, - 4)

Given the system of linear equations :

From (2) :

Substitute (3) into (1)

3x - 2(6 - 2x) = 23

3x - 12 + 4x = 23

7x = 23 + 12

7x = 35

Divide both sides by 7 to isolate x

x = 35 / 7

x = 5

From (3)

y = 6 - 2(5)

y = 6 - 10

y = -4

Therefore, the solution to the system of equation is (5, - 4)

Learn more : https://brainly.com/question/15165519

Liesl is correct, if the discriminant is a perfect square, then we can factorize the quadratic equation.

For a quadratic equation:

y = a*x^2 + b*x + c

The discriminant is:

D = b^2 - 4ab

Notice that for the equation:

0 = a*x^2 + b*x + c

The solutions are given by:

[tex]x = \frac{-b \pm \sqrt{D}}{2a}[/tex]

If D is a perfect square, then we know that the square root has solutions, so there are two values:

[tex]x_1 = \frac{-b + \sqrt{D}}{2a}\\\\x_2 = \frac{-b - \sqrt{D}}{2a}[/tex]

Now with these solutions, we can factorize our equation as:

[tex]y = a*(x - ( \frac{-b + \sqrt{D}}{2a}))*(x - ( \frac{-b - \sqrt{D}}{2a}))[/tex]

So Liesl is correct, if the discriminant is a perfect square, we can factorize the quadratic equation.

If you want to learn more about factorization, you can read:

https://brainly.com/question/11579257

Answer:

B.) x = 16

Step-by-step explanation:

Answer:

a isosceles triangle because it has two sides that are paarrelell

Step-by-step explanation:

Answer:

d = (-9/13)

Step-by-step explanation:

13d + 8 = -1

       -8     -8

13d = -9

÷13    ÷13

d = ( -9/ 13 )

I hope this helps!

Answer:

d = -9/13

Step-by-step explanation:

13d +8= -1

Subtract 8 from both side

13d +8-8= -1-8

13d = -9

Divide 13 from both side

13d/13 = -9/13

d = -9/13

Answer:

The other 2 had 96 pieces of candy combined.

Step-by-step explanation:

5 + 19 = 24

so, 120 candies - 24candies = 96 candies left

Answer:the answer would be 20

Step-by-step explanation:

because it is use the most

Answer:

1020 cm²

Step-by-step explanation:

The area of a trapezoid is given by:

Area=(big base+small base)/2 ×h

So,

Area=(TR+PA)/2 ×h

Area=(54+31)/2 ×24

Area=85/2 ×24

Area=42.5×24

Area=1020 cm² or Area=0.102 m²

Answer:

value of h makes the equation true is -3.5

Step-by-step explanation:

=> 4h = -14

multiply both side by h

=> [tex] \frac{4h}{4} = \frac{ - 14}{4 } \\ [/tex]

=> [tex]h = \frac{ - 14}{4} [/tex]

divide -14 by 4

÷> h = - 3.5

Answer:

c

Step-by-step explanation:

The equation =( denominater * derivative of numerator - numerator * derivative of denominator) / denominator ^2

so the qstn is (x^2 + 3x +2) / (x+3)

apply the values as the above eqtn states

ie,[ (x+3) * derivative of (x^2 +3x + 2)] - [( x^2 +3x + 2) *derivative of (x+3)] /

(x+3)^2

derivative of numerator, (x^2 +3x + 2) is 2x+3

" of denominator, (x+3) is 1

so we get

[(x+3)* (2x + 3 ) - (x^2 +3x + 2) *1 ] / (x+3)^2

open the brackets

[ 2x^2 + 3x + 6x + 9 - x^2 +3x + 2 ] / (x+3)^2

subtract similar terms and we get the final answer in option c

Answer:

a) 1/16

b) 7/16

Step-by-step explanation:

a) The area of the outside circle is π (8")² = 64π in².

The area of the center circle is π (2")² = 4π in².

So the probability is (4π / 64π) = 1/16.

b) The area of the outside strip is π [(8")² − (6")²] = 28π in².

So the probability is (28π / 64π) = 7/16.

Answer:

C, $769 per week

Step-by-step explanation:

There are 52 weeks in a year. To find the answer to this question, divide $40,000 by 52 to get $769.230769231, rounded to $769.

Answer:

x=-3

Step-by-step explanation:

-3x-2y=9

-3x-2(0)=9

-3x-0=9

-3x=9

x=-3

Answer:

4 pi/3

Step-by-step explanation:

960 degrees in standard position is the same thing as 960-360 = 600 degrees in standard position because rotating the second line 360 degrees just brings it back to where it started.

Do it again to get 600 - 360 = 240

240 degrees would end up in the same spot as 600 degrees and 960 degrees, so they are all coterminal.

Convert 240 degrees to radians:

240 * pi/180 = 4pi/3.

Step-by-step explanation:

A man by the name of Luigi Fonti wrote this. I hope it can guide you, as it did for me! "The set of rational numbers is closed for all the four operations, so x+y, x-y, x*y and x/y are rational too. And it is easy to demonstrate. A rational number can be expressed as a fraction of two integers. So, x can be expressed as a/b and y as c/d. Hence x+y = a/b + c/d = (ad+bc)/bd, which, as fraction of two integers, is rational."

Answer:

y > x + 2

Step-by-step explanation:

Answer:

Let's define:

A = distance traveled before deploying the landing gear

B = distance traveled after deploying the landing gear.

We must have that the sum of those two distances must be equal to 600 yards.

A + B = 600 yd.

And we know that:

" the plane will travel half the distance with the landing gear than without the landing gear."

Then we have that:

B = A/2.

Now we can replace this last equation in the first one:

A  + B = 600yd

A + A/2 = 600yd.

(3/2)*A = 600yd.

A = (2/3)*600yd = 400yd.

Ohama should deploy the landing gear 400 yd into the runway.

Answer:

M = -1

Step-by-step explanation:

Use the slope formula:

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

M = (5-9)/(7-3)

M = -1

The required slope for the lines -1.

Given that,

To determine the slope of the line that passes through points (3,9) and (7,5).

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.

The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Slopes of the line can be given as,

m = [y₂ - y₁ ] / [x₂ - x₁]

for points,  (3,9) and (7,5)

m = 5 - 9 / 7 - 3

m = -4 / 4
m = 1

Thus, the required slope for the lines is -1.

Learn more about slopes here:

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#SPJ2

Answer:

the skater needs to get a score of 97  [or more ]

Step-by-step explanation:

[ 83 + 88 + 92  + M  ] / 4   ≥  90      multiply both sides by  4

83 + 88 + 92  + M ≥   360     simplify

263 + M ≥ 360           subtract  263 from both sides

M ≥  97      →  the skater needs to get a score of 97  [or more ]

Answer:97

Step-by-step explanation:

83+88+92+97=360

360/4=90

Answer:4,2

Step-by-step explanation: is u divide both side with 2 that will be your answer

Answer:

Your answer is: Midpoint =  (0.5, -0.5)

Step-by-step explanation:

(xa+xb/2 , ya+yb/2)

Plug the points ---> (5,2)(-4,-3)

= (1/2 , -1/2)

In decimal form it would be: (0.5,-0.5)

Hope this helped : )

Step-by-step explanation:

Let the first number be x and the second y

x+y=100

(x-12)+y

Answer:

6 people

Step-by-step explanation:

Answer:

AA

Step-by-step explanation:

ΔCSR and ΔMDR share ∠CRS

Since lines [tex]n[/tex] and [tex]k[/tex] are parallel, ∠C ≅ ∠M and ∠S ≅ ∠D. These are corresponding angles.

Either of these sets of angles could be used along with ∠CSR to prove that ΔCSR and ΔMDR are similar because of AA.

Answer:

m = -3/5

Step-by-step explanation:

-5m = 3

Divide each side by -5

-5m/-5 = 3/-5

m = -3/5

Answer:

per ounce is $5.92

Step-by-step explanation:

All you gotta do is 53.28 divided by 9 $5.92!

Mark me brainliest!!

Answer:

Exact form: -4/3

Decimal form: -1.3

Mixed number form: -1 1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/2 ÷ 2/3

1/2 * 3/2

1 * 3/ 2 * 2

3/4

Please mark me the brainliest!?!

Answer:

3,000 + 1 = 3,001

Step-by-step explanation:

Just add it vertically.

3,000

+      1

3,001

Answer:

3,000+1=3,001

Step-by-step explanation:

Just simple logic