13. MULTIPLE CHOICE Which statement about the diagram at the right is true?
A. A, B, and C are collinear.
B. C, D, E, and G are coplanar.
C. B lies on Ray GE.
D. Ray EF and ray ED are opposite rays.

CHAMPS CHAMPS
2005 2006 D

Answer:

x+12=7

x=7-12

x=-5

Step-by-step explanation:

3x(4x - 2) = 3x · 4x - 3x · 2 = 12x² - 6x

Answer:

D

Step-by-step explanation:

We want to simplify the expression:

[tex]\displaystyle \frac{6i}{9+2i}[/tex]

To do so, we can remove the imaginary unit in the denominator by multiply it by the conjugate.

The conjugate of a + bi is a - bi.

Hence, we will multiply the fraction by 9 - 2i:

[tex]\displaystyle =\frac{6i}{9+2i}\left(\frac{9-2i}{9-2i}\right)[/tex]

Multiply:

[tex]\displaystyle = \frac{6i(9-2i)}{(9+2i)(9-2i)}[/tex]

Difference of two squares:

[tex]\displaystyle = \frac{6i(9-2i)}{(9)^2 -(2i)^2}[/tex]

Simplify:

[tex]\displaystyle = \frac{54i-12i^2}{(81)-(4i^2)} = \frac{54i-(-12)}{81-(-4)} = \frac{12+54i}{85}[/tex]

Hence, our answer is D.

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

Answer:

15.59

Step-by-step explanation:

Area of an equilateral triangle given side length s:

area = (√3/4) * s²

Plug 6 in for s

area = (√3/4) * 6²

= √3/4 * 36

≈ 15.59

Answer:

Step-by-step explanation:

equilateral triangle

Answer:

Step-by-step explanation:

Let it be n- sided polygon.

Sum of interior angles is 150n.

On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:

Compare the sums and solve for n:

12-sided polygon is called dodecagon

Answer:

option c

Step-by-step explanation:

explaination is in pic below

2 | 6,4,8

2 | 3,2,4

2 | 3,1,2

3 | 3,1,1

LCM=2×2×2×3=24

Date given=1st jan

[tex]\\ \qquad\quad\sf\longmapsto 1+24=25thJan[/tex]

Answer:

r=-1

Step-by-step explanation:

6-r+3r=4

or, 6+2r=4

or, 2r=-2

or, r=-1

Answer:

48 kg

Step-by-step explanation:

8x+2 = 9x-4

8x-9x = -4-2

-x = -6

x = 6

Jane's weight at first = 8x = 8(6) = 48 kg

Answer:

[tex]n=0,\\n=6[/tex]

Step-by-step explanation:

Given [tex]n^2-6n=0[/tex], we can factor out an [tex]n[/tex] from each of the terms on the left side of the equation:

[tex]n(n-6)=0[/tex]

Since we have two factors that multiply to zero, we can set each of them to zero and solve for [tex]n[/tex], because zero multiplied by anything is equal to zero. Therefore, as long as either [tex]n[/tex] or [tex]n-6[/tex] is equal to zero, the other factor can be any real number and the equation would still hold true.

Therefore, we have the following cases:

[tex]\begin{cases}n=0,\\n-6=0\end{cases}[/tex]

Solving, we get:

[tex]\begin{cases}n=0, n=\boxed{0}\\n-6=0, n=\boxed{6}\end{cases}[/tex]

[tex]\\ \sf\longmapsto n^2-6n=0[/tex]

[tex]\\ \sf\longmapsto n(n-6)=0[/tex]

Now

[tex]\\ \sf\longmapsto n=0\:or \:(n-6)=0[/tex]

[tex]\\ \sf\longmapsto n=0\:or \;n=6[/tex]

Hence roots of the equation are 0 and 6 .

More:-

We can solve it through Quadratic formula

[tex]\boxed{\sf x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

Step-by-step explanation:

b/c -|9|

first we will out the number from absolut value

then it will give as -9

Cube have 6 faces.

hope it helps

tq

Answer:

[tex]a {}^{m - n} [/tex]

Step-by-step explanation:

...........

Answer:

Step-by-step explanation:

E ⊂ F ⊂ G

Answer:

[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The vertex of the parabola is (0, 0) and the focus is (2, 0).

Then the equation of the parabola passing through the origin is given as

x² = 4ay

Then the value a is equal to 2.

Then the equation will be

x² = 4 × 2 × y

x² = 8y

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

Answer:

D

y^2 = 8x

Step-by-step explanation:

Please I suffered through the question.

Hope this helps!

Yes ,

Let's create orderer pairs from the table of function.

Note:-

If (x,y) be a co-ordinate pair of a function then x is the domain and y is the range.

Answer:

-19

Step-by-step explanation:

Since we already have the values of the variables and the equation, all we have to do is plug in the numbers.

-b + 3x

-(4) + 3(-5)

-4 + (-15)

-4 - 15

-19

Answer:

[tex]\boxed {\boxed {\sf -19}}[/tex]

Step-by-step explanation:

We are asked to evaluate the following expression.

[tex]-b+3x[/tex]

We know the b is equal to 4, and x is equal to -5.

We can substitute the values into the expression.

[tex]-(4) + 3(-5)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply first. We multiply -1 and 4, then 3 and -5.

[tex][-1 *4] + 3(-5)[/tex]

[tex]-4+ [3*(-5)][/tex]

[tex]-4+-15[/tex]

Add.

[tex]-19[/tex]

The expression -b+3x is equal to -19 when b equals 4 and x equals -5.

Answer:

k=6

Step-by-step explanation:

Line partition formula

1/b(x2-x1)+x1, 1/b(y2-y1)+y1

Where b is the number partitions.

We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.

1/b(17-2)+2=7

1/b(15)=5

1/b=1/3

b=3

so the partition is 1/3

[tex] \frac{1}{3} (17 - 2) + 2 = 7[/tex]

So let find the y coordinate

[tex] \frac{1}{3} (8 - 5) + 5 = 6[/tex]

So our y coordinate is 6.

Answer:

16,088 more miles

Step-by-step explanation:

Do  26,481-10,393 to get the answer.

26,481-10,393=16,088

The reason that you need to use subtraction to solve this problem is because the word problem says ”how many more”. I’ve learned in school that this is a sign that you have to find the difference to the terms being used in the problem, in this case, 26,481 and 10,393. To find the difference is to subtract the smaller number from the larger number, showing that you have to do 26,481-10,393 to get the answer.

Answer:

HELLO DEAR,

GIVEN:-

10sin⁴A + 15cos⁴A = 6

=> 10(sin²A)² + 15cos⁴A = 6

=> 10{(1 - cos²A)²} + 15cos⁴A = 6

=> 10{1 + cos⁴A - 2cos²A} + 15cos⁴A = 6

=> 10 + 10cos⁴A - 20cos²A + 15cos⁴A = 6

=> 25cos⁴A - 20cos²A + 4 = 0

=> 25cos⁴A - 10cos²A - 10cos²A + 4 = 0

=> 5cos²A(5cos²A - 2) - 2(5cos²A - 2) = 0

=> (5cos²A - 2)(5cos²A - 2) = 0

=> cos²A = 2/5

=> cosA = √2/√5 [ secA = √5/√2]

therefore,

sinA = √[1 - 2/5] = √3/√5 [ cosecA = √5/√3]

now,

27cosec^6A + 8sec^6A

=> 27 × {(√5/√3)²}³ + 8 × {(√5/√2)²}³

=> 27 × 125/27 + 8 × 125/8

=> 125 + 125

=> 250.

HENCE, 27cosec^6A + 8sec^6A = 250.

I HOPE IT'S HELP YOU DEAR,

THANKS

Step-by-step explanation:

Answer:

f(-2) = -15

Step-by-step explanation:

f(x) = 7x - 1

f(-2) = 7(-2) - 1

f(-2) = -14 - 1

f(-2) = -15

Answer:

a=4, b=8, c=6

Step-by-step explanation:

ATQ, p(x) + q(x) = r(x)

3x^3-(12-a)x^2-(3-c)x+b-13 = 3x^3-8x^2+3x-5

Comparing the coefficients, we have

12-a=8, a=4

b-13=-5, b=8

-(3-c)=3, c=6

Answer:

1. 2 lines that are at equal distance from each other and will never meet

  2 rays/lines that meet at a point

  A round shape whose outline is equal distance from the center.

  Lines that meet at an 90° angle

3. [tex]\sqrt{106}[/tex] or 10.29563014......

Ummm... We can't see the 5th question

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

180° Celsius is equal to approximately 356° Fahrenheit

Step-by-step explanation:

I hope this helps.

The value of 180 degree Celcius in Fahrenheit is 356.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C.

The temperature in Fahrenheit will be calculated as,

F = 1.8C + 32

F = ( 1.8 x 180 ) +32

F = 356

Therefore, the value of 180 degree Celcius in Fahrenheit is 356.

To know more about unit conversion follow

https://brainly.com/question/26141817

#SPJ2

Answer:

26 numbers

Step-by-step explanation:

Answer:

They make $115,109.10 per year.

Step-by-step explanation:

Solve how much workers make per week:

94.74 × 24.3

2302.182

Solve for 50 weeks:

2302.182 × 50

115109.1