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dimulka [17.4K]
3 years ago
15

Find the missing term! if y=1+i, then y^3-3y^2+(-3y,-3y+1,3y,3i)-1=-i

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0
Y = 1 + i 

<span>(1 + i)^3 - 3 * (1 + i)^2 + k - 1 = -i </span>
<span>(1 + 3i + 3i^2 + i^3) - 3 * (1 + 2i + i^2) + k - 1 = -i </span>
<span>1 + 3i - 3 - i - 3 - 6i + 3 + k - 1 = -i </span>
<span>1 - 3 - 3 + 3 - 1 + 3i - i - 6i + k = -i </span>
<span>-3 - 4i + k = -i </span>
<span>k = 4i - i + 3 </span>
<span>k = 3i + 3 </span>
<span>k = 3 * (1 + i) </span>
<span>k = 3y</span>
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Write an equation in slope intercept form for the given line. (y=mx+b) pls help
DIA [1.3K]

Answer:

y = -1/2x + 3

Step-by-step explanation:

y = mx + b

The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3

b = 3

Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.

m = -1/2

plug these into the slope-intercept equation to find the answer

y = -1/2x + 3

8 0
3 years ago
A Tv show had 3.5x10 to the 6th power viewers for their first episode and 8.5x10 to the 6th power viewers for their second episo
Sonbull [250]

is that x a variable or multiplication symbol?

Step-by-step explanation:

if multiplication the answer is 12 • 10 to the 6th power or 12,000,000 they are the same

5 0
3 years ago
The rectangle has length 8 cm and area 48 cm2.
marishachu [46]

Step-by-step explanation:

Given,

length of rectangle(l)= 8cm

area of rectangle(A) = 48cm2

breadth of rectangle(b) = ?

Perimeter of rectangle (P)=?

We know ,

Area of rectangle(A) = l×b

or, 48cm2 = 8cm×b

or, 48cm2 = 8bcm

or, 48cm2/8cm = b

or, 6cm = b

or, b = 6cm

therefore, b = 6cm

Perimeter of rectangle (P) = 2(l+b)

= 2(8cm+6cm)

= 2×14cm

= 28cm

therefore, Perimeter of rectangle(P) = 28cm

Now,

According to the question,

Perimeter of rectangle(P) = Perimeter of square(P)

So,

Perimeter of square(P) = 28cm

length of square(l) = ?

Area of square (A) = ?

We know,

Perimeter of square (P) = 4l

or, 28cm = 4l

or, 28cm/4 = l

or, 7cm = l

or, l = 7cm

therefore, l = 7cm

Now,

Area of square (A) = l^2

= (7cm)^2

= 7cm×7cm

= 49cm^2

therefore, area of square (A)= 49cm^2

3 0
2 years ago
The eleventh term from the end of the AP 14, 19, 24, …………., 264 is
vazorg [7]

Answer:

<h2>The eleventh term of the sequence is 64</h2>

Step-by-step explanation:

The sequence given is an arithmetic sequence

14, 19, 24, …………., 264

The nth term of an arithmetic sequence is given as;

Tn = a+(n-1)d where;

a is the first term = 14

d is the common difference = 19-14=24-19 = 5

n is the number of terms = 11(since we are to look for the eleventh term of the sequence)

substituting the given values in the formula given;

T11 = 14+(11-1)*5

T11 = 14+10(5)

T11 = 14+50

T11 = 64

The eleventh term of the sequence is 64

6 0
3 years ago
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
ss7ja [257]

Answer: c. b/35 =11

Step-by-step explanation:

the total beads is over beads of necklace and there’s 11 necklaces needed to make

8 0
3 years ago
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