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Mice21 [21]
4 years ago
5

Apply the distributive property to create an equivalent expression, (m-3+4n)*(-8)

Mathematics
2 answers:
nydimaria [60]4 years ago
8 0

Answer:

-8m +24 -32n

Step by step explanation:

MakcuM [25]4 years ago
5 0

Answer:

-8m +24 -32n

Step-by-step explanation:

(m-3+4n)*(-8)

Distribute the -8 to each term inside the parentheses

-8*m -8*-3 -8*4n

-8m +24 -32n

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Janice wants to create a test containing 20 questions worth 50 points. If Janice creates questions worth either two points or fo
Elena L [17]

Answer:

15 two-point questions and 5 four-point questions.

Step-by-step explanation:

Let x represent number of two-points questions and y represent number of four-points questions.

We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:

x+y=20...(1)

Since all questions are worth 50 points. We can represent this information in an equation as:

2x+4y=50...(2)

From equation (1), we will get:

x=20-y

Upon substituting this value in equation (2), we will get:

2(20-y)+4y=50

40-2y+4y=50

40+2y=50

40-40+2y=50-40

2y=10

\frac{2y}{2}=\frac{10}{2}

y=5

Therefore, there are 5 questions that are worth 4 points each.

Now, we will substitute y=5 in equation (1) to solve for x.

x+5=20

x+5-5=20-5

x=15

Therefore, there are 15 questions that are worth 2 points each.

3 0
3 years ago
Instructions: Type the correct answer in each box. If necessary, use / for the fraction bar.
Alinara [238K]
The slope of diagonal <em>AB</em> is 0 and its equation is y=2.
7 0
3 years ago
5 Simple Algerba 2 Questions.
zubka84 [21]

Answer:

See below for answers

Step-by-step explanation:

1) Parent functions are essentially non-transformed functions, so y=x^2 would be the parent function of y=x^2+1 for example since y=x^2 has no transformations while y=x^2+1 does.

2) Since certain x-values won't be defined for the function, you need to restrict the domain. For example, in the function f(x)=1/x, obviously x=0 is undefined for the function, so we would need to restrict the domain.

3) Not sure what you mean by name graph; no context given

4) Also no context given

5) The equation would be y=(x+5)^4-3

6 0
3 years ago
A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.
denpristay [2]

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

Dividing both sides by 2

\frac{2a^2}{2}=\frac{100}{2}\\a^2=50

Taking Square root on both sides

\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft

Now,

P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft

Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

5 0
4 years ago
Can anybody please help how to do these!! NO LINKS<br><br>​
Masja [62]

Answer:

22.

rcos \theta = rsin \theta

23.

(rcos \theta) ^{2}  + (rsin \theta) ^{2}  = 25

Step-by-step explanation:

To change the equation to polar form replace x with rcos\theta

and y with rsin\theta

3 0
3 years ago
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