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3 years ago

9

In order for the data in the table to represent a linear function with a rate of change of 8, what must be the value of a? 10 27

11 a 12 11 O a 2 O a 3 Oa 19 Oa- 35

1 answer:

sp2606 [1]3 years ago

7 0

Answer:

19 or c

Step-by-step explanation:

Hi I just took the test as you can see on the chart by the x axis it goes from 10 to 11 and on the y axis it goes from 27 to a so really it’s just simple subtraction

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Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i

Vsevolod [243]

$\huge \boxed{\mathfrak{Answer} \downarrow}$

$\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\$

Multiply both numerator and denominator of $\sf \frac{5-3i}{-2-9i} \\$ by the complex conjugate of the denominator, -2+9i.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\$

Multiplication can be transformed into difference of squares using the rule: $\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$ .

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\$

By definition, i² is -1. Calculate the denominator.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\$

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

$\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\$

Do the multiplications in $\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)$ .

$\large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\$

Combine the real and imaginary parts in -10+45i+6i+27.

$\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\$

Do the additions in $\sf-10+27+\left(45+6\right)i$ .

$\large \bf Re(\frac{17+51i}{85}) \\$

Divide 17+51i by 85 to get $\sf\frac{1}{5}+\frac{3}{5}i \\$ .

$\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\$

The real part of $\sf \frac{1}{5}+\frac{3}{5}i \\$ is $\sf \frac{1}{5} \\$ .

$\large \boxed{\bf\frac{1}{5} = 0.2} \\$

3 0

3 years ago

Somebody please help meeeee pt.2

rosijanka [135]

Answer:

See explanation

Step-by-step explanation:

Consider the sequence 10, 6, 2, -2, -4, ...

Rewrite it as

$a_1=10,\\ \\a_2=6,\\ \\a_3=2,\\ \\a_4=-2,\\ \\a_5=-6,...$

The points on the coordinate plane are

$(1,a_1),\ (2,a_2),\ (3,a_3),\ (4,a_4),\ (5,a_5),...$ (see attached graph).

Since

$4=a_2-a_1=a_3-a_2=a_4-a_3=a_5-a_4=...,$ given sequence is arithmetic.

8 0

3 years ago

The answer is 3,4 what is the question

anzhelika [568]

Answer:

What is the x and y coordinate of (3,4)

4 0

3 years ago

!! Plss help me!! ASAP!! I will give you BRAINLYEST!!!

MrMuchimi

31.4 cm

Step-by-step explanation:

the radius is 5 so the diameter is 10 so you'll have to multiply 3.14 by 10 not 5

5 0

3 years ago

Point D What is the slope of the graph of 6x + 12y = 7? A. 1/2 B. -1/2 C. 2 D. -2

Dima020 [189]

6x + 12y = 7

12y = -6x + 7

y = -6/12 + 7

y = -1/2 + 7

the slope of the equation is -1/2

8 0

3 years ago