Please help me on this question.

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

Given:

The sequence is:

[tex]6, -24, 96, -384,...[/tex]

To find:

The explicit formula for the given sequence and then find the 16th term.

Solution:

We have,

[tex]6, -24, 96, -384,...[/tex]

The ratio between two consecutive terms are:

[tex]\dfrac{-24}{6}=-4[/tex]

[tex]\dfrac{96}{-24}=-4[/tex]

[tex]\dfrac{-384}{96}=-4[/tex]

The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].

The explicit formula of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a=6, r=-4[/tex] in the above formula, we get

[tex]a_n=6(-4)^{n-1}[/tex]

We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.

[tex]a_n=6(-4)^{16-1}[/tex]

[tex]a_n=6(-4)^{15}[/tex]

[tex]a_n=6(-1073741824)[/tex]

[tex]a_n=-6442450944[/tex]

Therefore, the explicit formula for the given sequence is  [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].

Answer:

Step-by-step explanation:

48

Answer:

i think the new points are

A(1,-2)

B(-2,-3)

C(4,5)

Step-by-step explanation:

i plugged it in

Answer:

0

Step-by-step explanation:

5.5(-7+7)

5.5(0)

0

Answer:

0

Step-by-step explanation:

putting k = -7

=> 5.5. ( -7 × 7)

=> 5.5 × 0

=> 0

since any number we multiplied by zero is zero

Answer:

5 is added to the product of 4 and 3

Answer:

3ad³

Step-by-step explanation:

Like terms have same variables with same powers.

12ad³ and 3ad³ has same variables a  and d³

Answer:

Una estrella en el cielo está relacionada con un punto de geometría básica.

Un punto es un objeto matemático que tiene una dimensión 0, pero que se puede especificar en un espacio de n dimensiones, utilizando coordenadas 'n'

Una estrella se puede ubicar usando un sistema de coordenadas, y las dimensiones de la estrella no se pueden estimar fácilmente a partir de su apariencia.

B. Un rayo de luz está relacionado con un rayo en geometría básica.

Un rayo en geometría básica, tiene un punto de inicio definido, pero no tiene fin, por lo tanto, un rayo de luz está relacionado con un rayo en geometría básica

C. La superficie del agua en el lago está relacionada con un plano en geometría básica.

La superficie del agua es una superficie coplanar, de manera que las cuatro esquinas y otros puntos existen en el mismo plano (la superficie del agua), lo que equivale al plano, que también tiene 3 o más puntos en el mismo nivel.

2. a. Cierto

Por favor el dibujo adjunto

DD DD

B. Cierto

Por favor el dibujo adjunto

DD SS DD SS

C. Cierto

Por favor el dibujo adjunto

DD SS DD SS

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The equation

2x(50) = 24

x(50) = 12

Answer:

y = 12

Step-by-step explanation:

36 - 24 = 12.

24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.

Answer:

6 units

Step-by-step explanation:

E(-2 , -1) = (x1 , y1)

F(-2 , -5) = (x2 , y2)

distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(-2 - (-2))^2 + (-5 - (-1))^2}[/tex]

=[tex]\sqrt{(-2 + 2)^2 + (-5 + 1)^2[/tex]

=[tex]\sqrt{0^2 + 6^2}[/tex]

=[tex]\sqrt{36}[/tex]

= 6 units

Answer:

I hope the above attachment helps you mate

Have a great day

[tex]#Liliflim[/tex]

Answer:

Solution given;

a⁴-23a²b²+b⁴

making in the form of a²+2ab+b²

a⁴+2a²b²+b⁴-2a²b²-23a²b²

(a²+b²)²-(5ab)²

factoring by using formula

x²-y²=(x+y)(x-y)

(a²+5ab+b²)(a²-5ab+b²)

Answer:

going clockwise from upper left the correct graph is the 2nd one

Step-by-step explanation:

asymptote at -2

Answer:

[tex]\frac{\sqrt{47}}{10}[/tex]

Step-by-step explanation:

First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].

Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].

do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.

[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]

Sine of an angle is Opposite over Hypotenuse to get

[tex]\frac{\sqrt{47} }{10}[/tex]

Answer:

(3, 6)

Step-by-step explanation:

[tex]y=4x-6[/tex]

[tex]6=4(3)-6[/tex]

[tex]6=12-6[/tex]

[tex]6=6[/tex]

[tex]3y=-2x+24[/tex]

[tex]3(6)=-2(3)+24[/tex]

[tex]18=-6+24[/tex]

[tex]18=18[/tex]

x = 3, y = 6

By substitution method,

[tex]y = 4x - 6[/tex]

[tex]3y = - 2x + 24[/tex]

[tex] \frac{3y - 24}{ - 2} = x[/tex]

[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]

[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 42[/tex]

[tex]y - 42 = \frac{12y}{ - 2} [/tex]

[tex] - 42 = \frac{12y}{ - 2} - y[/tex]

[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]

[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]

[tex] - 42 = \frac{14y}{ - 2} [/tex]

[tex] - 42 \times - 2 = 14y[/tex]

[tex]84 = 14y[/tex]

[tex] \frac{84}{14} = y[/tex]

[tex]6 = y[/tex]

[tex]\frac{3(6) - 24}{ - 2} = x[/tex]

[tex] \frac{18 - 24}{ - 2} = x[/tex]

[tex] \frac{ - 6}{ - 2} = x[/tex]

[tex]3 = x[/tex]

Therefore,

The solution is (3, 6).

Answer:

11/2 miles per hour

Step-by-step explanation:

that is the procedure above

Answer:

even

Step-by-step explanation:

itz even cos it is divisible by 2

Answer:

6 is even number.

Step-by-step explanation:

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.

if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.

Answer:

The slope of function A is less than the slope of function B

Step-by-step explanation:

Function A:

Slope is given in 1/3x the slope is 1/3

Function B:

Slope is -8 /-12 = 2/3

Compare:

1/2<2/3

function a is less than function b

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

$31.85

Step-by-step explanation:

total cost of the rafters  = total length of rafters used x cost per foot

total length of rafters used = number of rafters used x length of rafters

7 x [tex]6\frac{1}{2}[/tex]

to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]

cost per foot = 70 cents

100 cents = 1 dollar

70 cents = $0.70

total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85

Answer:

25π square inches or 78.5 sq in

Step-by-step explanation:

circumference = π x diameter

thus

10 π inches= π x d

d = 10 inches

area of circle = π x d x d / 4

= π x 10 x 10 x 4

= 25π sq in

= 78.5 sq in

Answer:

OPTION B IS YOUR ANSWER.

You know its a quadratic when the second difference of each y value is same.

Here's what I mean.

Option B

First all x values differ by 1. So we're good on those.

Now for the y values

Which are

3, -1, -3, -3, -1

find the difference between the second and first fod each... Then do this a second time.

If it gives the same value for all the second differences... Then its quadratic.

-1-3 = -4

-3-(-1) = -3 + 1 = -2

-3-(-3) = -3 + 3 = 0

-1-(-3) = -1 + 3 = 2.

The values are -4, -2, 0, 2.

Now find the difference of these(2nd - 1st)

-2-(-4) = -2 + 4 = 2

0-(-2)= 0 + 2 = 2

2 - 0 = 2

Since all second differences gave 2 as their answer....

Option B is your Quadratic Function!!!

Hope this helps!

Answer:

30.1

Step-by-step explanation:

Have a great summer :)

Answer:

4.4

Step-by-step explanation:

that is the procedure above

Answer:

x=10.5

Step-by-step explanation:

[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]

Answer:

34,560 in^3

Step-by-step explanation:

A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep

The amount is cubic feet the trunk will hold can be calculated as follows

= 30×48×25

= 34,560 in^3

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, [tex]\frac{x}{3}[/tex]

for August, it is [tex]2x[/tex]

If they removed less than 1000 tress in 3 months

[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]

So, maximum number of tress removed in July is 299

Given:

Principal = Rs. 1200

Rate of interest = 25%

To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

[tex]P=1200[/tex]

[tex]r=\dfrac{25}{100}[/tex]

[tex]r=0.25[/tex]

If interest is equal to the principal, then

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=1200+1200[/tex]

[tex]Amount=2400[/tex]

The formula for amount is:

[tex]A=P\left(1+r)^n[/tex]

Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get

[tex]2400=1200(1+0.25)^n[/tex]

[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]

[tex]2=(1.25)^n[/tex]

Taking log on both sides, we get

[tex]\log2=\log(1.25)^n[/tex]

[tex]\log2=n\log(1.25)[/tex]               [tex][\because \log a^b=b\log a][/tex]

[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]

[tex]n\approx 3.11[/tex]

Therefore, the interest will became equal to the principal in about 3.11 years.