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3 years ago

Question 5 of 10

Mathematics

1 answer:

Alenkasestr [34]3 years ago

7 0

Answer:

Step-by-step explanation:

b. The set of all pairs of line segments c. Congruent pairs of segments have the same measure. 8. ... ZB ZDCA,. 2. Given. ZA. ZDCB. 3. mZB mZDCB,. 3. Definition of. mZA. mZDCB congruent angles .

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Reduce to simplest form.<br> -7/8 - (-5/6) HELPPP

Olenka [21]

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

-7/8 + 5/6

-1/24

6 0

3 years ago

Read 2 more answers

Can anyone help me do the questions that are circled with red and you don't need to do the graphing calculator thing, please

creativ13 [48]

Answer:

There are six problems circled in red.

As requested, only the analytical solutions are shown.

Question 16. Factor the polynomial

$44+15h+h^2$

Answer: (h + 4) (h + 11)

Question 17. Factor the polynomial

$40-22x+x^2$

Answer: (x - 2) (x -20)

Question 18. Factor the polynomial

$-24-10x+x^2$

Answer: (x - 12) (x + 2)

Question 19. Factor the polynomial

$-42-m+m^2$

Answer: (m - 7) (m + 6)

Question 20. Solve the equation

$x^2-7x+12=0$

Answer: x = 4 and x = 3

Question 22. Solve the equation

$x^2-6x=27$

Answer: x = 9 and x = - 3.

Explanation:

Question 16. Factor the polynomial

$44+15h+h^2$

1. Rearrange the terms:

$h^2+15h+44$

2. Open two parenthesis and place the common variable, h, as the first term of each.

$(h+a)(h+b)$

You are going to determine the values of a and b.

3. The values of a and b must satisfy that their product is 44 and their sum is 15.

a + b = 15 and a × b = 44

11 and 4 meet those conditions: 11 + 4 = 15, and 11 × 4 = 44.

So, the factored polynomial is:

$(h+4)(h+11)$

Question 17. Factor the polynomial

$40-22x+x^2$

1. Rearrange the terms:

$x^2-22x+40$

2. Write two binomials; each with first term x

(x-a)(x-b)

The negative sign for a comes from the negative sign before 22x; the negative sign of b comes from the product of the signs of -22x and + 40.

3. Find a and b such that a + b = 22 and a × b = 40

20 + 2 = 22 and 20 × 2 = 40, so the binomials are (x - 2) and (x - 20)

And the factored polynomial is:

$(x-2)(x-20)$

Question 18. Factor the polynomial

$-24-10x+x^2$

1. Rearrange the terms

$x^2-10x-24$

2. Sketch two binomials

$(x-a)(x+b)$

The negative sign for a corresponds to the negative sign for -10x, and the positive sign for b corresponds to the multplication of the signs of -10x and -4.

3. Find a and b such that their product is -24 and their aum is - 10.

Those numbers are - 12 and + 2:

- 12 + 2 = - 10
- 12 × (2) = - 24

Thus, the two factors are (x - 12) and (x +2).

And the factored polynomial is:

$(x-12)(x+2)$

Question 19. Factor the polynomial

$-42-m+m^2$

1. Rearrange the terms

$m^2-m-42$

2. Sketch the factors:

$(m-a)(m+b)$

The negative sign for a corresponds to the negative sign in front of m, the positive sign for b corresponds to the product of the signs of -m and -42.

3. Find two numbers, a and b, such that - a + b = - 1, and a × b = - 42

Those numbers are 6 and 7:

- 7 + 6 = - 1
-7 × 6 = - 42

Then, the factors are m - 7 and m + 6.

The factored polynomial is:

$(m-7)(m+6)$

Question 20. Solve the equation

$x^2-7x+12=0$

1. Factor the left side:

Find two numbers that sum -7 and their product is + 12. Those two numbers are - 4 and - 3.

$(x-4)(x-3)=0$

2. Use the zero product rule

x - 4 = 0 or x - 3 = 0

x = 4 or x = 3

Both, x = 4 and x = 3 are solutions.

Hence, the solutions are x = 4 and x = 3.

Question 22. Solve the equation

$x^2-6x=27$

1. Move 27 to the left side (using subtraction property of equalities):

$x^2-6x-27=0$

2. Factor the polynomial.

Find two numbers whose sum is - 6 and their product is - 27.

Those numbers are - 9 and + 3:

- 9 + 3 = - 6
- 9 × 3 = 27

$(x-9)(x+3)=0$

3. Zero product rule

$x-9=0\\ \\ x=9\\ \\ x+3=0\\ \\ x=-3$

The two solutions are: x = 9 and x = -3

3 0

4 years ago

5. What is BC?<br> 4x - 8<br> 2x + 12<br> 3x + 4

borishaifa [10]

Answer:

BC = 34

Step-by-step explanation:

Given that ∠B = ∠C then the triangle is isosceles.

Thus AB and AC are congruent, that is

4x - 8 = 2x + 12 ( subtract 2x from both sides )

2x - 8 = 12 ( add 8 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Hence

BC = 3x + 4 = (3 × 10) + 4 = 30 + 4 = 34

4 0

3 years ago

EleoNora [17]

9514 1404 393

Answer:

C) 8 miles per hour

Step-by-step explanation:

To find miles per hour, divide miles by hours.

(1/4) ÷ (1/32) = 1/4 × 32/1 = 32/4 = 8 . . . . miles per hour

3 0

3 years ago

Read 2 more answers

5432

professor190 [17]

The line is dotted and shaded below the graph, the inequality that represents the graph is y < 2/3x + 1

<h3>Inequality graphs and expressions</h3>

Inequality are expressions not separated by an equal sign

Given the coordinate points on the line as (-3, -3) and (3, 1)

Slope = 1+3/3+3

sloped = 4/6 = 2/3

For the intercept, b = -1

The equation of the line will be y = 2/3x + 1

Since the line is dotted and shaded below the graph, the inequality that represents the graph is y < 2/3x + 1

Learn more on inequality here: brainly.com/question/25275758

#SPJ1

5 0

2 years ago