what is the value of the expression?
4x3+(12divided by 2x2)

Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

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

11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

The possible number of solutions to the equations in the system is 2. A solution is a collection of data designated to the unexplored variables.

A solution is a set of values assigned to the unknown variables that ensure the equation's equality.

To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, makes the equation equal.

The given system of equation is;

[tex]x^2+y^2=9[/tex]

The standard equation of the  circle is;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

On comparing the given equation with the standard equation;

The first equation shows the center is at origin(0,0). and radius is 3.

The second equation shows the given equation is a straight line.

As we know that a straight line can only intersect a circle at a maximum of 2 points.

Hence the possible number of solutions to the equations in the system is 2.

To learn more about the solution refer to the link;

brainly.com/question/545403

Answer:  see proof below

Step-by-step explanation:

Use the Product to Sum Identity:  cos A · cos B = [cos (A - B) + cos (A + B)]/2

Use the Odd Function Identity: cos (-A) = - cos (A)

Proof LHS → RHS:

[tex]\text{LHS:}\qquad \qquad 2\cos \bigg(\dfrac{11\pi}{16}\bigg)\cdot \cos \bigg(\dfrac{\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

[tex]\text{Prod to Sum:}\quad \dfrac{2\bigg[\cos \bigg(\frac{(11\pi -\pi)}{16}\bigg)+\cos \bigg(\frac{(11\pi+\pi}{16}\bigg)\bigg]}{2}+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{10\pi}{16}\bigg)+\cos \bigg(\dfrac{12\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{5\pi}{8}\bigg)+\cos \bigg(\dfrac{3\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{-3\pi}{8}\bigg)+\cos \bigg(\dfrac{-\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

[tex]\text{Odd Functions:}\quad -\cos \bigg(\dfrac{3\pi}{8}\bigg)-\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                          = 0

LHS = RHS   [tex]\checkmark[/tex]

Let the zeros of a polynomial be α and β.

Here,

Therefore to find the equation of polynomial we have to do sum of zeros of the polynomial and the product of zeros of the polynomial.

Sum of the zeros of polynomial are :-

[tex] \sf \alpha + \beta = \frac{3}{2} + \frac{2}{5} \\ \\ : \rightarrow \: \frac{15 + 4}{10} = \frac{19}{10} [/tex]

Product of the zeros of polynomial are:-

[tex] \sf \: \alpha \beta = \frac{3}{2} \times \frac{2}{5} \\ \\ : \rightarrow \cancel\frac{6}{10} = \frac{3}{5} [/tex]

We know,

p(x) = x² - (α +β)x + αβ

putting values we get

p(x) = x² - 19/10x + 3/5

Hence, This is the required polynomial.

Step-by-step explanation:

Simplify x in the inequality.

Divide both -2x and 4 by -2:

[tex]\frac{-2x}{-2} < \frac{4}{-2}[/tex]

Answer:

[tex]x > -2[/tex]

The sign has switched since the terms have been divided by a negative number.

Answer:

Step-by-step explanation:

The solution is to isolate the term x from one side of the equation.

First, multiply by -1 from both sides.

(-2x)(-1)>(4)(-1)

Solve.

2x>-4

Then, divide by 2 from both sides.

2x/2>-4/2

Solve.

-4/2=-2

x>-2

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

length needs to be >10

Step-by-step explanation:

If we put 10 as the length as 10 it would equate to 50 square inches

but the question asks for greater than 50

therefore the length needs to be more than 10

Answer:

20 min

Step-by-step explanation:

Step-by-step explanation:

20.32cm=8in.

17.78cm=7in.

volume of cylinder=

[tex] \frac{22}{7} \times 20.32 \times 20.32 \times 17.78 = 23072.99cm ^{3} [/tex]

[tex] \frac{22}{7} \times 20.32 \times 20.32 \times 35.56 = 46145.97cm^{3}[/tex]

Answer: 8

Step-by-step explanation:

iAnswer:

Step-by-step explanation:

I can’t tell you the answer because then it will be cheating but this will help

First add all sides then u will get an equation solve it

Angle A = 100 (supplementary to the 80 angle)
Angle D = 100 (same reason)
Angle I = 130 (supplementary to the 50 angle)
Angle K = 100 (supplementary to angle H, and angle H = 80 since it is corresponding to the 80 angle)
Angle E = 80 (supplementary to angle A, and angle A = 100)

Note : Supplementary angles add up to 180, and corresponding angles are equal to each other. (with the condition of 2 lines are parallel to each other.)

Answer:

Angle A = 100

Angle D = 100

Angle I = 130

Angle K = 100

Angle E = 80

Step-by-step explanation:

Answer:

A, a centimeter is smaller so therefore it is more accurate.

Answer:

87 sq in

Step-by-step explanation:

Surface area of the net

[tex] = 3(8) + 3(6) + (2) \frac{1}{2} (6)(5) + (5)(3) \\ \\ = 24 + 18 + 30 + 15 \\ \\ = 87 \: {in}^{2} [/tex]

Answer:

y = 4x + 8

Step-by-step explanation:

A linear formula always follows by y = mx + c, where m is the gradient and c is the y-intercept or constant.

Since you know that the slope is 4, all you need to do is find the y-intercept (constant)

y = 4x + c

Sub in the points (-4, -8)

-8 = 4(-4) + c

-8 + 16 = c

c = 8

Hence, y = 4x + 8

373.45 is the answer.

Answer:

The answer is the first one (12+15) / 4

Answer:

9 and 3 are the second pair because 9×3=27 and9×9=81

Step-by-step explanation:

23percent *A=46

23/100*A=46

A=46*100/23

A=200

answer Is 200

plz follow me

Answer:

d = 140°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a nonagon has 9 sides , then

sum = 180° × 7 = 1260°

sum the angles and equate to 1260

150° + 130° + 130° + 150° + 140° + 140° + 150° + 130° + d = 1260°, that is

1120° + d = 1260° ( subtract 1120° from both sides )

d = 140°

Answer:

879,200

Step-by-step explanation:

to get the answer we first must get the circumference of the wheel then we must multiply it by 10,000.  28 times 3.14(pie) is equal to 87.92. 87.92 times 10,000 is 879,200.

Note: I rounded pie.

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Let the fraction representing total number of apples = 120 = 1

We are told in the question:

1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles

Hence:

1 = 1/5 + 1/3 + 3/10 + Sprinkles

Sprinkles = 1 - (1/5 + 1/3 + 3/10)

LCM = 30

1 - (6 + 10 +9/30)

1 - 25/30

1 - 5/6

Fraction of caramel apples covered sprinkles = 1/6

The number caramel apples covered with sprinkles = 1/6 of 120 caramel apples

= 1/6 × 120

= 20 caramel apples are covered with sprinkles

Answer:

36cm square

:)

Step-by-step explanation:

yes IF

20² = 11² + 18²

20² = 400

and

11² + 18² = 121 + 324 = 445

so NOT a right triangle

Answer:

Substitute the given values of x into the given equation to find the values of y:

when x = -8

[tex]y=\dfrac54(-8)+1=-9[/tex]

Point = (-8, -9)

when x = -4

[tex]y=\dfrac54(-4)+1=-4[/tex]

Point = (-4, -4)

when x = 0

[tex]y=\dfrac54(0)+1=1[/tex]

Point = (0, 1)

when x = 4

[tex]y=\dfrac54(4)+1=6[/tex]

Point = (4, 6)

when x = 8

[tex]y=\dfrac54(8)+1=11[/tex]

Point = (8, 11)

Answer:

35

Step-by-step explanation:

Answer:

it's the first one your correct

Answer:

d

Step-by-step explanation:

he bought 12.5

Answer: b = 6/5

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