Put the polynomials in order from lowest degree to
highest degree
(Look at Photo)

[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]

The shapes in the composite figures are a triangle and a trapezoid

The area of the figure is about 24 square units

The dimensions of the figure are given as:

Triangle

Trapezoid

The longer base of the trapezoid and the base of the triangle are aligned.

So, the area is:

Area = Area of triangle + Area of trapezoid

This gives

Area = 0.5 * base * height + 0.5 * (sum of bases) * height

So, we have:

Area = 0.5 * 6 * 3  + 0.5 * (4 + 6) * 3

Evaluate

Area = 24

The figure is needed to determine the perimeter

Hence, the area of the figure is about 24 square units

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Answer:

47.3

Step-by-step explanation:

yes

Answer:

1/45

Step-by-step explanation:

Total = 10

Probaility of getting yellow: 2/10

Probbaility of getting yellow again: 1/9

2/10 * 1/9= 2/90 or 1/45

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

Answer:

Step-by-step explanation:

4x + 9y = 5

-4x + 7y = 11

Isolate y for 4x + 9y = 5

9y = 5-4x

y = (5-4x) / 9

Now plug it in this equation: -4x + 7y = 11

-4x + 7[(5-4x)/9] = 11

now just solve it.

-4x + (35 - 28x / 9) = 11

multiply both sides by 9

-36x + 35 - 28x = 99

-64x = 64

divide both sides by -64

x = 1

Answer:

D

Step-by-step explanation:

secΘ > 0 in 1st and 4th quadrants

cscΘ < 0 in 2nd and 4th quadrants

then

secΘ > 0 and cscΘ < 0 in the 4th quadrant

Answer: (p+q)(p+3r)

Step-by-step explanation:
p²+pq+3qr+3pr

Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.

p(p+q)+3r(p+q)

Factor out common term p+q by using distributive property.

(p+q)(p+3r)

Answer:

I'm pretty sure it's C.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Then:

N = 5 x 3 x 6 = 90.

There are 90 ways to choose the three side dishes.

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Answer:

1, 3, 5, 7

Step-by-step explanation:

the c stands for columns.

when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.

Answer:Day 26

Step-by-step explanation : just multiply the numbers

The correct answer is c. 100.

Step-by-step explanation:

Number of cards in the given pile = 24

Total number of diamond cards in the pile = 8

Probability of picking up a diamond in a draw of card from the pile is given by .

There are supposed to be 300 trials.

Therefore number of times a diamond card is picked from the pile is given by 300 ×  = 100.

Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.

Answer:

If the diameter is 22 and the radius would be half of 22 so it would be 11

Answer: C

Steps:

39+17+17=73

73x0.06=4.38

4.38+73=77.38

Add the sales tax to price without tax

Answer:

C. $77.38

Step-by-step explanation:

Items + tax = total

Items × .06 = tax

OR

Items × 1.06 = total

39 + 17 + 17 = 73

73 × .06 = 4.38

73 + 4.38 = 77.38

OR

73 × 1.06 = 77.38

Answer:

I dont know

Step-by-step explanation:

Answer:

AB = 6 cm

Step-by-step explanation:

[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]

Answer: 1.2

Step-by-step explanation:

Answer:

6. 75n=114. 75

Step-by-step explanation:

each magazine cost: $6.75 plus tax

and on weekend the store collected it sale total: $114.75?

=> 6.75n = 114.75 = 17 magazines sold

Answer:

  (a)  Inconsistent

Step-by-step explanation:

Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.

  3x -6y = -12 . . . . given first equation

  x -2y = -4 . . . . . . divide by 3

Compare this to the second equation:

  x -2y = -8

The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.

Answer:

Step-by-step explanation:

Equation 1

Equation 2

On comparison, it is seen that the slopes are same, but the y-intercepts are different.

This means this has no solution, or the graph is inconsistent.

Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have

y = 4x²   ⇒   x = ±√y/2

so the diameter for some given y would be √y/2 - (-√y/2) = √y.

The volume of a cross section with thickness ∆y is then

π/2 (√y/2)² ∆y = π/8 y ∆y

The total volume of the solid would then be

[tex]\displaystyle \int_0^4 \frac\pi8 y \, dy = \frac\pi8 \times \frac12 y^2 \bigg|_{y=0}^{y=4} = \boxed{\pi}[/tex]

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   False

B: 5 + 7 > 8

   12 > 8

   True

C: 2 + 4 > 6

   6 > 6

   False

Answer:

the answer is 51.315

Step-by-step explanation:

hope i was able to help you out

Step-by-step explanation:

[tex]y = (2x + 10)(x - 2)[/tex]

[tex]y = 2x(x - 2) + 10(x - 2)[/tex]

[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]

[tex]y = 2x ^{2} + 6x - 20[/tex]

[tex]to \: find \: x \: intercept \: y = 0[/tex]

[tex]0 = 2x ^{2} + 6x - 20[/tex]

[tex]x = 2 \: or \: - 5[/tex]

[tex]to \: find \: y \: intercept \: x = 0[/tex]

[tex]y = 2(0)^{2} + 6(0) - 20[/tex]

[tex]y = - 20[/tex]

Answer:

y = -20

x- 2, -5

Step-by-step explanation:

Answer:

D

-by-step explanation:

all other is incorrect

Answer:

Step-by-step explanation:

C=2πr

r=10in

C=2*π*10

C=20*3.14

62.8 in

Hey there!

3(2x + 4y) - y

= 3(2x + 4y) - 1y

= 3(2x) + 3(4y) - 1y

= 6x + 12y - 1y

= 6x + 11y

LETS TEST OPTION D. FOR YOUR RESULT…

Option D.
6(x + 2y) - y

= 6(1x + 2y) - 1y

= 6(1x) + 6(2y) - 1y

= 6x + 12y - 1y

= 6x + 11y

6x + 11y = 6x + 11y which makes this statement TRUE ☑️

Therefore, your answer is:

Option D. 6(x + 2y) - y

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

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