What is the slope of the line shown?

Answer:

TRUE

Step-by-step explanation:

A complex number is represented as z = x + iy

Given the complex number -5i, this can also be written as;

z = 0-5i

Get the modulus

|z| = √0²+(-5)²

|z| = √25

|z| = 5

Get the argument

theta = arctan(y/x)

theta = arctan(-5/0)

theta = arctan(-∞)

theta = -90degrees

Since tan is negative in the 2nd and fourth quadrant

in the fourth quadrant, theta - 360 - 90

theta = 270 degrees

Express in polar form;

z = |z|(cos theta + i sintheta)

z = 5(cos270°+ison270°)

Hence the statement given is TRUE

Answer:

truue

Step-by-step explanation:

just did the quiz on edg

Answer:

The answer is the last one: 9,4,1

Step-by-step explanation:

- Output means y

- Input means x

The question asks to input -4, 1, 4 to find the output value

If we input -4, the answer is:

y = - x + 5

y = - (-4) + 5

y = 4 + 5

y = 9

If we input 1, the answer is:

y = -x + 5

y = - (1) + 5

y = -1 + 5

y = 4

If we input 4, the answer is:

y = -x + 5

y = - (4) + 5

y = -4 + 5

y = 1

Hope it helps!

Answer:

the answer is 3

Step-by-step explanation:

how i got this answer is........i did the round robin and i times 1 *5+4 and i got 9  so you will get 3/4 *9/5 and i got 27/9 and you will divided 9*3 and you will get 3 so that is the answer 3

i hope you did good on your test

Answer:

1/ -6=12+1/3a

Rewrite the equation as 12+1/3a=−6.

12+1/3a= −6

Combine 1/3 and a.

12+a/3= −6

Move all terms not containing a to the right side of the equation.

a/3= −18

Multiply both sides of the equation by 3.

3⋅a/3=3⋅ −18

Simplify both sides of the equation.

a= −54

2/ -6 =12 -1/3a

Rewrite the equation as 12−13a=−6.

12−1/3a=−6

Combine a and /13.

12−a/3=−6

Move all terms not containing a to the right side of the equation.

−a/3=−18

Multiply both sides of the equation by −3.

−3⋅(−a/3)=−3 ⋅−18

Simplify both sides of the equation.

a=54

Step-by-step explanation:

translate it 6 units to the left and 3 units up

Answer:

288

Step-by-step explanation:

[tex]6 \times 8 \times \frac{1}{2} \times 2 + 6 \times 10 + 8 \times 10 + 10 \times 10 = 288[/tex]

Answer:

288 sq cm

Step-by-step explanation:

Hope this helps!!

Please mark brainliest.

Answer:

7.0 yd to the nearest tenth.

Step-by-step explanation:

Use the Sine Rule:

AC / sin 28 = 15 / sin 92

AC = 15 sin 28 / sin 92

= 7.046

Answer:

its g ;)

Step-by-step explanation:

trust me and please mark me brainliest the reason i know it is because well, i can barley explain it sorry have a nice day and hope this helps and please mark me brainliest thank you very much!

Answer:

- 2/7

Step-by-step explanation:

+ and - becomes -

2/7 - 4/7 =  - 2/7

PLEASE MARK BRAINLIEST!!! <3

Answer:

6/9 yeah that's it I looked It, up.

Step-by-step explanation:

Answer:

17.106 Teaspoons of fertilizer

Step-by-step explanation:

Joni has a circular garden with a diameter of 16.5. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

Step 1

We calculate the area of the garden.

The garden is circular in shape.

Area of a circle = πr²

r = radius = Diameter/2

Diameter = 16.5 ft

r = 16.5/2

r = 8.25 ft

Area of the circle = π × 8.25²

Area of the circle (Garden) = 213.82464998 ft²

Approximately = 212.825ft²

Step 2

If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

25 ft² = 2 teaspoons of fertilizer

212.825ft² = x

Cross Multiply

25 ft² × x = 212.825ft² × 2

x = 213.825× 2/25 ft²

x = 17.106 Teaspoons of fertilizer

Answer:

ASA

Step-by-step explanation:

Because since the angles are bisected, they would be equal to each other (<UST=<USR). We can also say that SU=SU due to the reflexive property.

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Given:

The sum of the first 15 terms of an arithmetic sequence is 480.

To find:

The 8th term of the sequence.

Solution:

We have,

[tex]S_{15}=480[/tex]

We know that, the nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting n=8, we get the 8th term of the sequence.

[tex]a_8=a+(8-1)d[/tex]

[tex]a_8=a+7d[/tex]

The sum of first n terms is

[tex]S_{n}=\dfrac{n}{2}[2a+(n-1)d][/tex]

Where, a is the first term and d is the common difference.

[tex]S_{15}=\dfrac{15}{2}[2a+(15-1)d][/tex]

[tex]480=\dfrac{15}{2}[2a+14d][/tex]

[tex]480=\dfrac{15}{2}[2(a+7d)][/tex]

[tex]480=15(a+7d)[/tex]

Divide both sides by 15.

[tex]\dfrac{480}{15}=a+7d[/tex]

[tex]32=a+7d[/tex]

[tex]32=a_8[/tex]

Therefore, the 8th term of the arithmetic sequence is 32.

Answer:

32

Step-by-step explanation:

32

Answer:

y = 14°

Step-by-step explanation:

since we can see it is an isosceles triangle so

base angles of isosceles triangle are equal then

2x = 50°

50° + 2x + 5y + 10° = 180° { being sum of angles of triangle }

50° + 50° + 5y + 10° = 180°

110° + 5y = 180°

5y = 180° - 110°

5y = 70°

y = 14°

Hope it will help :)

Sally: 10h + 20

Jerry 9h + 50

h = hours

Answer:

false

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

as y goes up 3 x goes up 4

Answer:

78

Step-by-step explanation:

I'm really good at these

Answer:

Step-by-step explanation:

This is a geometric sequence with common ratio 3.

10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366

9514 1404 393

Answer:

  (c)  h(x) = (3x +4)(2x +1)

Step-by-step explanation:

The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.

The middle term (11x) is only created by the third choice:

  (3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)

  = 6x^2 +3x +8x +4

  = 6x^2 +11x +4 . . . . matches the given h(x)

Answer:

33

Step-by-step explanation: multiply 7.50 by how many adults came than subtract from 350

Answer:

37 kids

Step-by-step explanation:

7.5(22) + 5x = 350

165 +5x =350

5x= 185

X = 37

Answer:

4 times

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

[tex]f(g(-5)) = \frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{3x+5}[/tex]

[tex]g(x) = \frac{3}{x+4}[/tex]

Required

Find f(g(-5))

First, we calculate f(g(x))

[tex]f(x) = \frac{2x}{3x+5}[/tex]

Substitute g(x) for x

[tex]f(g(x)) = \frac{2g(x)}{3g(x) + 5}[/tex]

Substitute [tex]\frac{3}{x+4}[/tex] for g(x)

[tex]f(g(x)) = \frac{2*\frac{3}{x+4}}{3*\frac{3}{x+4} + 5}[/tex]

[tex]f(g(x)) = \frac{\frac{6}{x+4}}{\frac{9}{x+4} + 5}[/tex]

[tex]f(g(x)) = \frac{6}{x+4}/ (\frac{9}{x+4} + 5})[/tex]

Take LCM

[tex]f(g(x)) = \frac{6}{x+4}/ \frac{9+5x+20}{x+4}}[/tex]

[tex]f(g(x)) = \frac{6}{x+4}/ \frac{5x+29}{x+4}}[/tex]

Rewrite as multiplication

[tex]f(g(x)) = \frac{6}{x+4}* \frac{x+4}{5x+29}}[/tex]

[tex]f(g(x)) = \frac{6}{5x+29}[/tex]

Substitute -5 for x

[tex]f(g(-5)) = \frac{6}{-5*5+29}[/tex]

[tex]f(g(-5)) = \frac{6}{-25+29}[/tex]

[tex]f(g(-5)) = \frac{6}{4}[/tex]

[tex]f(g(-5)) = \frac{3}{2}[/tex]

Answer:

3/20

Step-by-step explanation:

Given: Number of cups of pancakes to be made = 20

Number of  bag of chocolate chips available = 3

Therefore, cups of chocolate chips will be in each pancake= 3/20

Answer:

The answer is 9.

Step-by-step explanation:

If x equals 3 and you have 3x its basically just 3 times 3 so you get 9 as the result.

I hope this helps you :D

Answer:

In both cases, we have similar figures.

This means that the shape of the figures is the same, but the size is different:

PQST is similar to STNR and to NRPQ

VUYZ is similar to YZWX and to VUWX

this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.

With this in mind, we can solve the problem:

18)

ST = 7.5

NR = 5.5

Then the quotient ST/NR is:

ST/NR = 7.5/5.5

And, as we said above:

PQ/ST = ST/NR

PQ/7.5 = 7.5/5.5

PQ = (7.5/5.5)*7.5 = 10.23

19) Here we should have:

YZ/VU = WX/YZ

Then:

22.9/35 = WX/22.9

(22.9/35)*22.9 = WX = 14.98