what is being constructed based on the markings in the following diagram???

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

Answer:d

Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)

To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.

2√7(5√2+4√3) + 3√6(5√2+4√3)

Multiply number with number and root with root

10√14 +8√21+15√12+12√18

Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.

10√14 +8√21+(15√4 x√3) +(12√9 x √2)

10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2

10√14+8√21+30√3 +36√2 ans

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

Answer:

  A

Step-by-step explanation:

Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)

She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given figure, we have triangles in which two angles and one side are equal.

∠A = ∠E = 65° (angle)

BA = ED (side)

∠A = ∠E = 30° (angle)

By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)

Thus, the correct answer is option A.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ7

A=bh/2

A=2/3ft*3/5ft/2

A=2/3×5/5*3/5×3/3/2

A=10/15*9/15/2

A=90÷15/2

A=6ft^2

Answer:

The area of triangle is 1/5 feet².

Step-by-step explanation:

You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times height \times base[/tex]

Let height = 3/5,

Let base = 2/3,

[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]

[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]

[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]

[tex]area = \frac{1}{5} {feet}^{2} [/tex]

Answer:

It will be true when a ≤ 4

Step-by-step explanation:

You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.

Answer:

D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

Step-by-step explanation:

[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]

[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]

[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

The standard form of a polynomial is the general way of writing the polynomial.

The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

The polynomial expression is given as:

[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]

Collect like terms

[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]

Evaluate the like terms

[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]

Rewrite the polynomial in decreasing order of the power of x

[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Read more about polynomials at:

https://brainly.com/question/2833285

Answer:

Step-by-step explanation:

The arcs that are congruent are:

Two geometric figures can be described as congruent if on can be superpose on the other.

Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.

Learn more about congruent from

https://brainly.com/question/2938476

Answer:

5(4x + 5)

Step-by-step explanation:

Given

20x + 25 ← factor out the common factor 5 from each term

= 5(4x + 5)

Answer:

5(4x+5)

Step-by-step explanation:

divide both with the same number into smallest digit

eg: 5(4x+5)=20x+25

if 5x4=20 and 5x5=25

both can be divided by 5 to get smallest number(factorise it)

Answer:

B. She got the sign of the slope wrong.

Step-by-step explanation:

This is the correct answer for edge

Answer:

B

Step-by-step explanation:

She got the sign of the slope wrong.

Answer:

Both conclusions are correct

Step-by-step explanation:

Ivan: The product of an even number of negative fractions is always positive.

When even numbers of same negative fractions are multiplied together, the product is positive.

For instance: -1 × -1

Since the total numbers to be multiplied are even (two -1), the product becomes +1

Ivan's conclusion is correct.

Polina: The product of an odd number of negative fractions is always negative.

When odd numbers of same negative fractions are multiplied together, the product is negative.

For instance: -1 × -1 × -1 × -1 ×-1

Since the total numbers to be multiplied are odd (five -1), the product becomes -1

(-1 × -1) × (-1 × -1) ×-1

= +1 × +1 × -1

The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value

= +1 × -1

= -1

Polina's conclusion is correct

Both are correct.

Answer:

both of them

Step-by-step explanation:

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

Answer:

[tex]4y+ y"x^2-4y'x = 0[/tex]

    ↓

[tex]F(x, y, y', y'') = 0[/tex]

Step-by-step explanation:

From the information given:

[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]

So;

[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]

∴

[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]

  ↓

[tex]F(x, y, y', y'') = 0[/tex]

Answer:

number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Step-by-step explanation:

Given that f represents the number of state parks in Florida.

Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida

number of State Parks in California = 1/3 (number of State Parks in Florida) + 36

but it is given that There are 85 State Parks in California

and f represents the number of state parks in Florida

85 = 1/3(f) + 36  _________equation

=> 85 - 36 = 1/3 (f)

=> 49 = 1/3 f

=> 49*3 = f

=> f = 147

Thus, number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

Answer:

1/2

Step-by-step explanation:

[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]

Hope this helps!

Answer:

B or C or A or E or D i dont know

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The result of the multiplication must end in 0 so A, D nor E are the answer.

Consider B:

34 * 45

Neither of the numbers are divisible by 7 so it's not this one.

It's C because:

56 is divisible by 1, 2,4,7,8 and

45 is divisible by 3, 5, 9

The factors contain 2 and 3 so its also divisible by 2*3 = 6.

The product ends in 0 so its also divisible by 10.

You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.

Step-by-step explanation:

We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!

Answer:

70

Step-by-step explanation:

Z is part of a right angle so 90-20 is 70

Answer:

-2

Step-by-step explanation:

3-5= -2

Answer:

Step-by-step explanation:

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

Answer:

Step-by-step explanation:

Answer:

integers

rational numbers

real numbers

Step-by-step explanation:

i answered the question:)

Using number sets, it is found that the number -5 belongs to these following sets:

----------------------------------

Numbers are classified as:

----------------------------------

A similar problem is given at https://brainly.com/question/10814303

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21

Answer:

a

Step-by-step explanation:

r = 2.5 cm

V=  3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

n = 7

Step-by-step explanation:

[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]

Answer:

[tex]82[/tex]

Step-by-step explanation:

[tex]24+74+x=180[/tex]

[tex]98+x=180[/tex]

[tex]x=180-98[/tex]

[tex]x=82[/tex]

Answer:

x =82

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees

24+74+x = 180

Combine like terms

98+x = 180

Subtract 98 from each side

98+x-98= 180-98

x =82