Use the X method to find the solutions of
6x2 + 2x – 20 = 0.
x =
x =

Answer:

The m∠D is 98° ⇒ answer D

Step-by-step explanation:

* Lets revise some facts in the circle

- The quadrilateral is inscribed in a circle if its four vertices lie on the

  circumference of the circle

- It is called a cyclic quadrilateral

- Every two opposite angles in it are supplementary means the

  sum of their measures is 180°

∵ ABCD is inscribed in a circle

∴ ABCD is a cyclic quadrilateral

∵ ∠A and ∠C are opposite angles in the cyclic quadrilateral ABCD

∴ ∠A and ∠C are supplementary

∴ m∠A + m∠C = 180°

∵ m∠A = 64°

∵ m∠C = (9x - 1)°

∴ 64 + (9x - 1) = 180 ⇒ simplify

∴ 63 + 9x = 180 ⇒ subtract 63 from both sides

∴ 9x = 117 ⇒ divide both sides by 9

∴ x = 13

- Lets find the measure of ∠B

∵ m∠B = (6x + 4)°

∵ x = 13

∴ m∠B = 6(13) + 4 = 78 + 4 = 82°

- Lets find the measure of ∠D

∵ ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD

∴ ∠B and ∠D are supplementary

∴ m∠B + m∠D = 180°

∵ m∠B = 82°

∴ 82° + m∠D = 180° ⇒ subtract 82° from both sides

∴ m∠D = 98°

* The m∠D is 98°

Answer:

D on plato

Step-by-step explanation:

I just took this test and the ones that say answer E is correct is WRONG it is not correct.

Answer:

c. $11.80

Step-by-step explanation:

If Elizabeth has an APR of 14.61%, how much will her July finance charge be?

a. $9.97

b. $12.62

c. $11.80

d. $10.80

Answer:

-2/3x = 1/4

x = (1/4)(-3/2)

x = -3/8

[tex]\bf (1-2i)^2\implies (1-2i)(1-2i)\implies 1-2i-2i+(2i)^2 \\\\\\ 1-4i+(2^2i^2)\implies \stackrel{\textit{recall }i^2=-1}{1-4i+(4\cdot -1)}\implies 1-4i-4\implies \boxed{-3-4i}[/tex]

Answer:

(0, 5)

Step-by-step explanation:

At the time the ball is thrown time t = 0

The corresponding height at t = 0 is 5 ft

This is the point (0, 5) on the graph

Answer:

C

Step-by-step explanation:

Given

S = lw + 0.5Ph ( subtract lw from both sides )

S - lw = 0.5Ph ( divide both sides by 0.5h )

[tex]\frac{S-lw}{0.5h}[/tex] = P → C

Answer:

c

Step-by-step explanation:

The solution for the given equation is x = ±√y-11.

This can be done by moving every term with the required variable to the other side and equating it.

The given equation is: y = x^2 +11

We can rewrite this equation in terms of y.

This can be done as shown below:

y = x^2 +11

⇒ y -11  = x^2

⇒ ±√y-11 = x

⇒ x = ±√y-11

The given equation is rewritten in terms of y.

The equation written in terms of y is x = ±√y-11.

Therefore, the solution for the given equation is x = ±√y-11.

Learn more about the solution of an equation here: https://brainly.com/question/1214333

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Answer:

2/14

Step-by-step explanation:

i tried my best

[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{\frac{7}{5}})~\hspace{10em} slope = m\implies \cfrac{6}{19} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\cfrac{7}{5}=\cfrac{6}{19}[x-(-1)]\implies y-\cfrac{7}{5}=\cfrac{6}{19}(x+1)[/tex]

Answer:

zeros

x=0  

x=4 with multiplicity 2

Step-by-step explanation:

We need to solve x^3-8x^2+16x=0

Notice each term has a factor of x in common in x^3-8x^2+16x so we can factor it as x(x^2-8x+16)

Now x^2-8x+16 is a quadratic where a=1... We can see if it is factorable by looking for two numbers that multiply to be 16 and add up to be -8 which is -4 and -4

So you have x^3-8x^2+16x=0 is equivalent to x(x-4)(x-4)=0 (this one is in factored form).

x=0

x=4 (multiplicity 2 since you had the factor that is came from occurring twice)

Answer:

3.

Step-by-step explanation:

We have a triangle where opposite side = 12 , adjacent side = 5 and hypotenuse =  √(12^2 + 5^2) = 13   (because cot a = adjacent/ opposite side).

So  2sina - 3cosa / 4sina - 9cosa

= (2 * 12/13 - 3 * 5/13) / ( 4 * 12/13 - 9 * 5/13)

= (24/13 - 15/13) / (48/13 - 45/13)

=  9/13 / 3/13

= 9/13 * 13/3

= 3.

Answer:

Diameter of tank = 19.5 ft

Step-by-step explanation:

Volume of cylinder = Base area x Height.

Base area = Area of circle

[tex]\texttt{ Area of circle}=\frac{\pi d^2}{4}[/tex]

Height = 20 ft.

Volume of tank = 6000 cubic feet .

[tex]\texttt{ Volume of cylinder = Base area x Height.}\\\\6000=\frac{\pi d^2}{4}\times 20\\\\d^2=381.97\\\\d=19.5ft[/tex]

Diameter of tank = 19.5 ft

Remember the f(x) is the same thing as y so...

y = -3x + 5

y = -1

To solve this plug -1 in for y in the equation y = -3x + 5 and solve for x

-1 = -3x + 5

-6 = -3x

2 = x

When f(x) is -1 then x is 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

2/3 hour =2/3×60 min=40 min

2/3 hour=2/3×3600 seconds=2400seconds

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]\frac{1}{2}x-2y > -6[/tex]

Isolate the variable y

[tex]-2y > -6-\frac{1}{2}x[/tex]

Divide by -2 both sides

[tex]y < 3+\frac{1}{4}x[/tex]

The solution of the inequality is the shaded area below the dashed line [tex]y = 3+\frac{1}{4}x[/tex]

To plot the inequality find the intercepts

The y-intercept is the point (0,3)  (value of y when the value of x is equal to zero)

The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)

Plot the intercepts

Drawn the dashed line

shaded the region below the dashed line

The graph in the attached figure

Answer:

I think it is    D.

I could be wrong though, my apologies if I am :(

Answer:

Part 1) [tex]f(-3)=21[/tex]

Part 2) [tex]g(3)=9+21r[/tex]

Step-by-step explanation:

Part 1) Find the value of f(-3)

we have

[tex]f(x)=-6x+3[/tex]

we know that

f(-3) is the value of the function f(x) for x=-3

so

substitute the value of x=-3 in the function to find f(-3)

[tex]f(-3)=-6(-3)+3[/tex]

[tex]f(-3)=18+3[/tex]

[tex]f(-3)=21[/tex]

Part 2) Find the value of g(3)

we have

[tex]g(x)=3x+21r[/tex]

we know that

g(3) is the value of the function g(x) for x=3

so

substitute the value of x=3 in the function to find g(3)

[tex]g(3)=3(3)+21r[/tex]

[tex]g(3)=9+21r[/tex]

Answer:

Option D. 108 g

Step-by-step explanation:

we know that

The density is equal to the mass divided by the volume

D=m/V

Solve for the mass m

m=D*V

we have

D=2.7 g/cm³

V=40 cm³

substitute

m=(2.7)(40)=108 g

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]-5x+(-2)=-2x+4[/tex]

[tex]-5x+(-2)+5x=-2x+4+5x[/tex]  (according to first step)

[tex]-2= 3x+4[/tex]

[tex]-2+(-4)=3x+4+(-4)[/tex]        (according to second step)

[tex]-6=3x[/tex]

[tex]\frac{-6}{3}[/tex]=[tex]\frac{3x}{3}[/tex]  (according to third step)

[tex]-2=x[/tex]

[tex]x=-2[/tex]

hence the solution of the given equation is  [tex]x=-2[/tex]

Answer:

The answer is negative two.

Step-by-step explanation:

sorry i'm very late but this answer might help other people.

hope you have a good day.

:)

Answer:

5/9 cubic yards

Step-by-step explanation:

Just so L*W*H=24(36)(30)= 25920 cubic inches=25920 (1 in*1 in* 1 in)

36 in=1 yd

so

1 in =1/36 yd

do divide 25920 by (36*36*36)

The answer in cubic yards is 5/9 cubic yards

[tex]\sin\theta=-1\\\theta=-\dfrac{\pi}{2}+2n\pi, n\in\mathbb{Z}[/tex]

Answer: 270

Step-by-step explanation:sin 270 = -1

2root 21

Opp^2 =hyp^2 - adj^2

Opp=root 10^2-4^2

Opp=root 100-16

Opp =root 84

AB=2root21 or 9.165

Answer:

120 tiny cubes

Step-by-step explanation:

Find the volume of both the tiny cubes and the big cube. Then we will take big volume cube and divide it by tiny cube volume.

So big cube has volume (5/3*4/3*2)=40/9 cm^3

Tiny cube volume is (1/3*1/3*1/3)=1/27 cm^3

(40/9) divided by (1/27)

is the same as 40/9 time 27=40(27)/9=40(3)=120

Answer:

120

Step-by-step explanation:

ANSWER

[tex]- \frac{2}{3} [/tex]

EXPLANATION

The given given equation is

[tex]2y - 3x = 8[/tex]

We need to rewrite this equation in the slope-intercept form:

[tex]y = mx + b[/tex]

We add 3x to both sides.

[tex]2y - 3x + 3x=8 + 3x[/tex]

[tex] \implies \: 2y = 3x + 8[/tex]

We divide through by 2 to get,

[tex]y = \frac{3}{2}x + 4[/tex]

The slope of this line is

[tex]m = \frac{3}{2} [/tex]

Let the slope of the line perpendicular to this line be 'n' .

Then the product of the slopes of two perpendicular lines is always negative 1.

[tex]m \times n = - 1[/tex]

[tex] \implies \: \frac{3}{2} n = - 1[/tex]

[tex]\implies \: \frac{2}{3} \times \frac{3}{2}n = - 1 \times \frac{2}{3} [/tex]

[tex]n = - \frac{2}{3} [/tex]

Therefore the slope of the new line is

[tex] - \frac{2}{3} [/tex]

Answer:

C) -2/3

Step-by-step explanation:

2y-3x=8

2y=3x-8

Divide 2 from each number to get:

y=3/2-4

The opposite reciprocal of 3/2 is -2/3

Answer:

Answer is D: 9

Step-by-step explanation:

you would do 2x-6=12

Next: add 6 to both sides: 2X=18

Next: divide both sides by 2

Answer: X=9

Given that Benjamin's age is 6 years less than twice Lucas's age and Benjamin is 12 years old.

Let x and y represent Luca's age and Benjamin's age respectively.

Then, according to the given information, we have

y = 2x-6⇒1

y=12      ⇒2

Substituting the value of y from equation (2) in (1), we get

y=2x-6

⇒12=2x-6

⇒2x=12+6

⇒2x=18

⇒x=18/2

∴ x=9

Lucas's age is Option D. 9

Thus, the required age for Luca is 9 years.

To learn more about age, refer

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Answer:

minimum = 30,  Q1 = 36, median = 50.5,  Q3 = 80, and maximum = 91.

Step-by-step explanation:

We are given the following data set for the exam scored of 8 students in a math course and we are to find the five number summary:

51, 91, 46, 30, 36, 50, 73, 80

Step 1: For that, we first need to rearrange in an ascending order:

30, 36, 46, 50, 51, 73, 80, 91

Step 2: Now we will spot the smallest and largest number in the data.

Smallest number: 30

Largest number: 91

Step 3: Finding the median (middle number) now:

Median = 50+51/2 = 50.5

Step 4: Placing parenthesis around the number before and after the median values:

(30, 36, 46) 50, 51 (73, 80, 91)

Find Q1 (median in the lower half of the data) and Q3 (median for the upper half of data):

Q1 = 36

Q3 = 80

Five step summary:

minimum = 30,  Q1 = 36, median = 50.5,  Q3 = 80, and maximum = 91.

Answer:

Minimum = 30, Maximum = 91, Median = 50.5, Q₁ = 36, Q₃ = 80

Step-by-step explanation:

We have to find the five-number summary of the given data represents the semester exam scores of 8 students in a math course.

The five-number summary includes 5 items:

1. The minimum

2. Q₁ (First quartile)

3. Median

4. Q₃ (Third quarlile)

5. The maximum

First we put the numbers in ascending order (lowest to highest)

30, 36, 46, 50, 51, 73, 80, 91

Now find the minimum and maximum from your data set.

Minimum = 30 and Maximum = 91

Now find the median, median is the middle number. But we have 50, 51 two middle numbers so we take the median of those numbers =

Median = [tex]\frac{(50+51)}{2}[/tex] = 50.5

Median = 50.5

Now place parenthesis around the numbers before and after the median values

30, 36, 46, 50, 51, 73, 80, 91

Median of lower half of the data Q₁ = 36

Median of upper half of the data Q₃ = 80

Five-number summary found

Minimum = 30, Maximum = 91, Median = 50.5, Q₁ = 36, Q₃ = 80

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

(f - g)(2) = 3(2)² + 2 = 12 + 2 = 14

x + 16 > 51

x>35

Thus, A and D would be the answers.

Please mark brainliest and have a great day!

That would be 32, 16 and 34.