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3 years ago

SHOW YOUR WORK!!! Marking best answer as brainliest :))

Mathematics

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

-25

Step-by-step explanation:

You must first pick two points. I picked the points of (4, 400) and (8, 300). You can pick different points and still get the right answer.

Subtract the y's and the x's. Divide the difference of y by the difference of x.

400 - 300 = 100

4 - 8 = -4

100/-4 = -25

The slope, or rate of change, is -25.

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Use substitution to solve the system of equations.

adelina 88 [10]

Answer:

(2, -5)

Step-by-step explanation:

x is defined by the first equation as x = -3y – 13. Substitute -3y – 13 for x in the second equation:

2( -3y – 13) + 2y = -6.

Performing the indicated multiplication, we get:

-6y - 26 + 2y = -6

Combining like terms results in:

-4y = 20, so that y = -5

Using the first equation, we find x for y = -5:

x = -3(-5) - 13 = 2

The solution is thus (2, -5) (Answer C)

5 0

3 years ago

Read 2 more answers

14. Mr. Feo is paid semimonthly. His annual salary is $74,153. What is his semimonthly salary, rounded to

cupoosta [38]

Answer:

3,089.71

Step-by-step explanation:

divide 74,153 by 12 and by 2

5 0

3 years ago

**Jane found money in her pocket. She went to a convenience store and spent 1/4 of her money on chocolate milk, 3/5 of her money

valentina_108 [34]

Answer:

3/20

Step-by-step explanation:

1/1-1/4-3/5= (money spent)

1×4×5/(1×4×5)-1×1×5/(1×4×5)-3×1×4/(1×4×5)

20/20-5/20-12/20

(20-5-12)/20=3/20

8 0

2 years ago

Read 2 more answers

Use the rectangle hexagon with side length 10 meters to fill in the missing information

Vlada [557]

Answer:

$A_h=150\sqrt{3}\ m^2$

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

$x=5 m$

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

$\theta=360/12=30^o$

Now we have $\theta$ , the height of the triangle y is easily found by

$\displaystyle tan30^o=\frac{x}{y}$

Solving for y

$\displaystyle y=\frac{x}{tan30^o}=\frac{5}{ \frac{1} {\sqrt{3} }}=5\sqrt{3}$

The value of z can be found by using

$\displaystyle sin30^o=\frac{x}{z}$

$\displaystyle z=\frac{x}{sin30^o}=\frac{5}{\frac{1}{2}}=10$

The area of the triangle is

$\displaystyle A_t=\frac{xy}{2}=\frac{5\cdot 5\sqrt{3}}{2}=\frac{25\sqrt{3}}{2}$

The area of the hexagon is 12 times the area of the triangle, thus

$\displaystyle A_h=12\cdot A_t=12\cdot \frac{25\sqrt{3}}{2}=150\sqrt{3}$

$\boxed{A_h=150\sqrt{3}\ m^2}$

6 0

3 years ago

Answer this maths watch question step-by-step

Scilla [17]

The value of <u>a</u> is 2 and the value of <u>b</u> is 6.

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

You should factor the given expression.

$2-\frac{x+3}{x+1}-\frac{x-5}{x-1}\\ \\ 2+\frac{-\left(x+3\right)\left(x-1\right)-\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)}\\ \\ \mathrm{Apply\:the\:fraction\:rule}:\quad \:a+\frac{b}{c}=\frac{ac+b}{c}\\ \\ \frac{2\left(x+1\right)\left(x-1\right)-\left(x+3\right)\left(x-1\right)-\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)}\\ \\ \frac{2x+6}{\left(x+1\right)\left(x-1\right)}=\frac{2x+6}{x^2-1}$