the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answer:

200

Step-by-step explanation:

It's 200 because you would take the 1,000 and multiply it by the power of 3, which is 100,000. So therefore you would do the same thing with the 2, which 2 to the power of 3 is 200. There is your explanation.

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2x + 5}}}}[/tex]

[tex] \text{8x - 4 - 6x + 9}[/tex]

First, combine like terms :

Like terms are those which have the same base.

[tex] \longrightarrow{ \sf{8x - 6x - 4 + 9}}[/tex]

[tex] \longrightarrow{ \sf{2x - 4 + 9}}[/tex]

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \longrightarrow{ \boxed{ \sf{2x + 5}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

Negative

Step-by-step explanation:

the slope in this equation is negetive as it is pointing in a downwards position.

Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion

Answer:

b

Step-by-step explanation:

aye

Answer:

Reflexive

Step-by-step explanation:

Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof

Answer:

Reflexive

Step-by-step explanation:

Answer:

5 yards = 15 feet

Step-by-step explanation:

Following the formula that for every 1 yard we have 3 feet.

x = amount of yards

y = amount of feet per yard

z = amount of feet total

[tex]x * y = z[/tex]

Substitute:

[tex]5 * 3 = z[/tex]

[tex]15 =z[/tex]

Final answer:

5 yards = 15 feet

Answer:

1 whole number 3/10. Above is the answer

Answer:

180-112=68

Step-by-step explanation:

4 divided by 0.576 is approximately equal to 6.9444.

To find the result of 4 divided by 0.576, we can perform the division by dividing the numerator ( 4 ) by the denominator ( 0.576 ).

When we divide 4 by 0.576, we get approximately 6.9444.

Therefore, 4 divided by 0.576 is approximately equal to 6.9444.

In decimal form, this indicates that 4 can be divided into 0.576 approximately 6.9444 times. The result is a decimal number that extends to multiple decimal places. To obtain a more precise or exact answer, additional decimal places may need to be considered in the calculation.

Learn more about division here

https://brainly.com/question/29168241

#SPJ6

Answer:

Step-by-step explanation:

Given: AB≅DE, BC≅EF, CA≅FD

Since those are the given it is maped A to D, B to E, C to F

This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.

Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF

Answer:

a = b = 1

Step-by-step explanation:

x² - 2x + 2 = ( x - a )² + b

x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1

a = b = 1  

Answer:

6.63

Step-by-step explanation:

Answer:

the answer is 8.

Step-by-step explanation:

Brainliest? uwu

Answer:

8 :)

You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.

Answer:

Please check the explanation.

Step-by-step explanation:

Considering the expression

[tex]9i+2\left(7+3i\right)[/tex]

        [tex]a\left(b+c\right)=ab+ac[/tex]

so the expression becomes

[tex]=9i+2\cdot \:\:\:7+2\cdot \:\:\:3i[/tex]

Group like terms

[tex]=9i+14+6i[/tex]

Add similar elements: 9i+6i=15i

[tex]=15i+14[/tex]

Answer:

A

Step-by-step explanation:

Distribute the -2 into (3x-6)

combine like terms!!

8x+4

Answer:

A.) 8x + 4

Step-by-step explanation:

690

12×36 + 258 = 690 For extending to 20 characters

Answer:

Mkay?

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]

Step-by-step explanation:

Remember that the equal terms on both side should be cancelled.

[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]

[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]

The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

19. x=2

20. y= - 72

21. y=4

22.x= - 1

Step-by-step explanation:

Answer:

x =2

x = -2

Step-by-step explanation:

(x - 2)(x + 2)(x^2 + 4) = 0

(x - 2) = 0

x = 0 + 2

x =  2

(x + 2) = 0

x = - 2

x = - 2

(x^2 + 4) = 0

x^2 = 4

x = [tex]\sqrt{4}[/tex]

x = 2

Answer:

2 7/20

Step-by-step explanation:

Answer:

2m+7 = m-15

2m-m+7 = -15

1m = -15-7

1m = -22

m = -22

Answer:

Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]

So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]

The equation in slope m=-2 and b=20 is:

[tex]y=mx+b\\y=-2x+20[/tex]

So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Answer:

it should be girls 12 to 18

Step-by-step explanation:

i just messed around with a calculator and found it.

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

Answer:

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. To find the area of a rectangle, multiply the length by the width.

A rectangle with four sides of equal length is a square.

Following image represents the area of a rectangle.

A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The perimeter can be used to calculate the length of fence required to surround a yard or garden. Following image represents the perimeter of a rectangle.

Step-by-step explanation:

Sorry if this is wrong.

I have no idea if this is right but i tried.

Sorry im dumb.

If its right Yw.

:)

Answer:

Part A:  2(4x)+2(y)+2(2) and 2(4x+y+2)

Part B:  #2 and #4

Step-by-step explanation:

Part B:

- #2:     4 x 3 is 12 and 4 x 6 is 24

- #3:      2 x 6 is 12 and 6 x 4 is 24

Bothe are the same.

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase