what is the answer to this?

Answer:

10

Step-by-step explanation:

f ( 1 ) = 18

First term ( a ) = 18

f ( n + 1 ) = f ( n ) - 2

When, n = 1

f ( 1 + 1 ) = f ( 1 ) - 2

f ( 2 ) = 18 - 2

f ( 2 ) = 16

f ( 2 ) - f ( 1 )

= 16 - 18

= - 2

Common difference ( d ) = - 2

f ( 5 )

= a + 4d

= 18 + 4 ( - 2 )

= 18 - 8

= 10

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\to y=(\frac{1}{2})(x-4)(x+4)\\\\\to y=(\frac{1}{2}) (x^2-16)\\\\\to y=(\frac{1}{2})(x-0)^2-8\\\\vertex \to (0,-8)[/tex]

The general x-intercept parabola equation [tex]y=k(x-4)(x+4)[/tex]

Parabola crosses the dot (2,-12)

[tex]\to k(2-4)(2+4)=-12\\\\\to k(-2)(6)=-12\\\\\to -12k=-12\\\\\to k=\frac{-12}{-12}\\\\\to k=1[/tex]

The parabolic equation which crosses the position [tex](2,-12)[/tex] is[tex]y=(x-4)(x+4)[/tex]

[tex]\to y=(x-4)(x+4)\\\\\to y=x^2-16\\\\\to y=(x-0)^2-16\\\\vertex \to (0,-16)[/tex]

The distance among the vertices of the two parabolas:

[tex]= \sqrt{(0 - 0)^2+(-8-(-16))^2}\\\\ = \sqrt{0+(-8+16))^2}\\\\ =\sqrt{0+(8)^2}\\\\=\sqrt{(8)^2}\\\\= 8\\\\[/tex]

Answer:

So required ans is 5*11+10=65 6x-41=25

Step-by-step explanation:

You can do as,

5x+10+6x-41=90

11x-31=90

11x=31+90

11x=121

x=121/11

x=11

Answer:

96 in²

36 in²

60 in²

6.51 in

Step-by-step explanation:

Given that :

Dimension of paper = 12 in by 8 in

Dimension of right triangles :

2 in by 9 in ; 3 in by 6 in

Area of sheet of paper = 12 in * 8 in = 96 in²

Area of triangle = 1/2 base * height

Therefore, area of remnant right triangle :

2 * 1/2 * 2 * 9 = 18 in²

2 * 1/2 * 3 * 6 = 18 in²

Combined area of triangle left = 18in + 18in = 36 in²

Area of parallelogram = Area of sheet - Area of triangles left

Area of parallelogram = 96in² - 36in² = 60 in²

Base, b of parallelogram = 9.22 in

Area of parallelogram = base * altitude,h

60in² = 9.22h

h = 60 / 9.22 = 6.51 in

Answer: 504 ways

Step-by-step explanation:

Given

There are nine different marbles in a bag

For the first time, there are 9 possible ways to draw a marble

After removal of first marble, there are 8 possible ways to draw a marble

for the third time, there are 7 possible ways

so, total ways to draw three marble are

[tex]\Rightarrow 9\times 8\times 7=504\ \text{ways}[/tex]

Answer:

A number s plus 21

Step-by-step explanation:

s+21

A number s plus 21

Recall that 2⁴ = 16. So you have

2⁶⁰ = 2⁴ˣ¹⁵ = (2⁴)¹⁵ = 16¹⁵

Answer:

The volume is approximately 50 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The radius is 1/2 of the diameter r = 8/2 = 4

V = pi ( 4)^2 (1)

V = 16 pi

Letting pi be approximated by 3.14

V = 3.14 * 16

V = 50.24

The volume is approximately 50 m^3

Answer:

i think 5 is the answer not sure check with other helpers or brainer

Step-by-step explanation:

Answer:

a) yes

b) y = -x

c) yes it goes thru the origin (0,0)

Step-by-step explanation:

a) x**2 + y**2 = 17

(-4)**2 + (-1)**2 = 17

16 + 1 = 17 YES

b) the slope of DE is

(y1 - y2)/(x1 - x2)

(-1 -4)/(-4 -1) = -5/-5 = 1,  so a perpendicular segment will have a

slope of - 1/current slope or -1.

The midpoint of DE is

x = (x1 + x2)/2 = (-4 +1)/2 = -3/2

y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so

y = mx + b

y = -x + b plug in the point (-3/2,3/2)

3/2 = -(-3/2) + b

b = 0 SO y = -x

c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).

Answer:

‼️A) 12‼️

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180S=(n−2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180S=(7−2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900

This means that the sum of all interior angles is 900 degrees.

Step 3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

Step 4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x

---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288    

Step 5) This means that ---> 51x + 288 = 90051x+288=900

Subtract 288 from both sides  and get:

---> 51x = 61251x=612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12x=12     (612 ÷ 51 = 12)

Therefore A) 12 is your answer.

I think it should be none of these.

The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.

Answer:

answer A

Step-by-step explanation:

A=(-4,7)

C=(2,-5)

midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))

B=(3,0)

D=(-5,2)

midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)

Diagonals have the same middle, the quadrilater is a parallogram.

Answer:

120 kg in morning and 240 kg in afternoon

Step-by-step explanation:

x+2x=360 kg

Work:

x + 2x = 360 kg

3x = 360 kg

3x/3 = 360 kg/3

x = 120

2x=2(120 kg) =240 kg

Final Answer:

So, 120 kg in morning and 240 kg in the afternoon.

Hope this helps!

Answer:

A

Step-by-step explanation:

First, the list of congruence theorems are:

SSS

SAS

ASA

AAS

HL

SSA is not on the list, so we can cross that out

Next, ASA implies that two angles are congruent, but we only know that one pair of angles (the right angles) are congruent, so we can cross that out

After that, the angle is not connecting the congruent sides, so D is not an option

Finally, we know that the longest sides (AD / AC) are congruent to each other, one other pair of legs/sides are congruent, and the triangles are both right triangles. Therefore, we can apply HL here

Answer:

hjjjnnnhjjjjj

Step-by-step explanation:

answer is d

Answer:

Solution given:

Relationship between base and hypotenuse is given by Cos angle

Cos Angle(?)=base/hypotenuse

Angle{?}=Cos-¹(40/58)

Angle{?}=46°

The indicated angle is 46°

Answer:

y=4sqrt 3 X=8sqr 3

Step-by-step explanation:

4/y=y/12 y^2=48 y= sqrt 48= sqrt 4 * sqrt 3 * sqrt 4 = y = 4sqrt 3 then X

(4sqrt3)^2+144=x^2

48+144=192

sqrt 192

8sqrt3

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

Answer:

y=-2x+2

Step-by-step explanation:

substitute either the x or y value into the equations, if you substitute x=3 and get back y=-4, the equation is correct

Answer:

Step-by-step explanation:

With some research I found that the medians (QK, RJ, and SI) are broken into 2:1 ratios.

So what this means is that QD is twice as long as DK.

QD = 2DK

QD = 2 * 6.5

QD = 13

Answer:

-15abc - 12ac + 15bc

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)

Step 2: Simplify

Answer:

[tex]a+b+c=10[/tex]

Step-by-step explanation:

We are given that the graph of the equation:

[tex]y=ax^2+bx+c[/tex]

Passes through the three points (0, 5), (1, 10), and (2, 19).

And we want to find the value of (a + b + c).

First, since the graph passes through (0, 5), its y-intercept or c is 5. Hence:

[tex]y=ax^2+bx+5[/tex]

Next, since the graph passes through (1, 10), when x = 1, y = 10. Substitute:

[tex](10)=a(1)^2+b(1)+5[/tex]

Simplify:

[tex]5=a+b[/tex]

The point (2, 19) tells us that when x = 2, y = 19. Substitute:

[tex](19)=a(2)^2+b(2)+5[/tex]

Simplify:

[tex]14=4a+2b[/tex]

This yields a system of equations:

[tex]\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}[/tex]

Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:

[tex]-10=-2a-2b[/tex]

Add the two equations together:

[tex](-10)+(14)=(-2a+4a)+(-2b+2b)[/tex]

Combine like terms:

[tex]4 = 2a[/tex]

Hence:

[tex]a=2[/tex]

Using the first equation:

[tex]5=(2)+b\Rightarrow b=3[/tex]

Therefore, our equation is:

[tex]y=2x^2+3x+5[/tex]

Thus, the value of (a + b + c) will be:

[tex]a+b+c = (2) + (3) + (5) = 10[/tex]

Answer:

19 + 1 + 9 + 1

put any of those in the slots

Answer:

19 + 1 + 9 + 1

peace

Answer:

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units

Step-by-step explanation:

The given parameters are;

The radius of the circle with center G, r = 15

The measure of the given angle, m∠AGB = 64°

The area of a sector is given as follows;

Area of a sector of a circle = (θ/360°) × π × r²

Therefore;

The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;

The area of the sector in circle G  = (64°/360°) × π × 15² ≈ 125.66 square units

Answer:

It's all integers x such that -1<=x<=2.

Step-by-step explanation:

The domain is the x values for which the relation exists.

Lets read from left to right.

First point I see from left exists at x=-1, next one at x=0, then x=1, and finally at x=2.

So it's all integers x such that -1<=x<=2.

*<= means less than or equal to

Explanation:

The adjacent angle to the right of the (6x+1) angle is 180-(6x+1). Simply subtract it from 180 to get its supplementary counterpart.

The three inner angles of any triangle must add to 180, so,

(inner angle 1) + (inner angle 2) + (inner angle 3) = 180

[ 180-(6x+1) ] + (79) + (2x+10) = 180

180 - 6x - 1 + 79 + 2x + 10 = 180

(-6x+2x) + (180-1+79+10) = 180

-4x+268 = 180

-4x = 180 - 268

-4x = -88

x = -88/(-4)

x = 22

Answer:

x = 22

Step-by-step explanation:

2x + 10 + 79 = 6x + 1

Think alternate interior angles

2x + 10 + 79  makes up one of the alternate interior angles

6x + 1 is the other.

Combine like terms.

Subtract 2x both sides.

Subtract 1 from both sides.

Divide by 4 both sides.