The expression (3 + 6i) + (5 - 10i) simplified is

Answer:

x = 4

Step-by-step explanation:

Combine like terms.

3x- 2x = 1x

New Equation: 1x + 1 = 5

Subtract 1 from 5.

New Equation: 1x = 4

Divide 1 from both sides. 1x / 1 cancels out and 4 / 1 = 4.

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

Answer:

∠ZB = 54°

Step-by-step explanation:

Given:

Pair of complementary angles

∠ZA = (2x + 10)° and m

∠ZB = (3x + 15)

Find:

Measure of ∠ZB

Computation:

complementary angles

a + b = 90°

∠ZA + ∠ZB = 90°

(2x + 10) + (3x + 15) = 90

5x + 25 = 90

x = 13

So,

∠ZB = (3x + 15)

∠ZB = 13(3) + 15

∠ZB = 54°

Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

Answer:

y = x - 1

Step-by-step explanation:

Put it in point-slope form:

y - 0 = 1(x - 1)

y = x - 1

9514 1404 393

Answer:

  32

Step-by-step explanation:

The first term is 5 and the common difference is 9-5=4, so the n-th term is ...

  an = a1 +d(n -1)

  an = 5 +4(n -1) = 4n +1

Then the term number for the term 129 is ...

  129 = 4n +1 . . . . . put the given value in the formula

  128 = 4n  . . . . . . . subtract 1

  32 = n . . . . . . . . . .divide by 4

The 32nd term is 129.

1500+5%= 1505 that is the answer I got I hope this was helpful

Answer: 4.6

Step-by-step explanation:

Answer:

48x-6+y

Step-by-step explanation:

The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Since the equation is [tex]48x-6+3y\div 3[/tex]

We have to divide by whole equation by 3

After dividing it, the expression should be like 16x - 2 + y.

Hence, The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Learn more about an expression here: https://brainly.com/question/14946461

Answer:

Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

Answer:

I’m pretty sure it’s 5/4

Step-by-step explanation:

One mile = 5,280 feet.

Understand?

I am assuming that you want to know what is 5/6 of a mile.

(5/6)(5,280) = 5(880) = 4,400 feet.

If by IN A MILE you mean division, then we do the following:

(5,280)/(5/6) = (5,280 • 6)/5 = 6,336.

Is either one or the other because your question is honestly not too clearly stated..

Answer:

85.72 is ur answer...

Hope it helps!!!

Answer:

5:8

Step-by-step explanation:

water - 5 points

Rice - 3 points

total (rice + water) = 8 points.

Water:Total

5:8

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

Answer:

1 read any graph left to right if up positive if down negative

Answer:  1

Step-by-step explanation:

we choice two points to find the slopes.

(0,-5) and (2,-3)

[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]

Answer:

The correct option is;

Geometric constructions require the following tools;

A protractor, a straightedge, and a pencil

Step-by-step explanation:

The question relates to the tools required for a geometric construction. From the question options, the complete set  of tools with which a geometric construction is made comprises of the following

1) A protractor, which is used for angle measurements

2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line

3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion

A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.

Answer:

Answer is compass, straightedge, and a pencil

Step-by-step explanation

have a nice day :)

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27528 ft^3

Explanation:

24 x 31 x 37 = 27528

I hope this helped!

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- Zack Slocum

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Answer:

88

Step-by-step explanation:

Use the following formula

Average=Sum/Count

89+91+84=264

264/3

88

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

Since the product of their slope is -1, hence AB and CD are perpendicular

Answer:

a

Step-by-step explanation:

Answer:

risk-adverse

Step-by-step explanation:

The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

[tex]f(x)=x^2-11x+30[/tex]

Step-by-step explanation:

The factored form of a quadratic is given by:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where p and q are the zeros, and a is the leading coefficient.

The quadratic relation has zeros of 5 and 6, and it has a y-intercept of 30.

Since the zeros are 5 and 6, p and q are 5 and 6. Thus:

[tex]f(x)=a(x-5)(x-6)[/tex]

The y-intercept is 30. In other words, when x = 0, f(x) = 30:

[tex]30=a(0-5)(0-6)[/tex]

Solve for a:

[tex]30=a(-5)(-6)\Rightarrow 30=30a\Rightarrow a=1[/tex]

Therefore, our quadratic in factored form is:

[tex]f(x)=(x-5)(x-6)[/tex]

To find the standard form, expand:

[tex]\begin{aligned} f(x)&=(x-5)(x-6)\\&= (x-5)x+(x-5)(-6)\\&=(x^2-5x)+(-6x+30)\\&=x^2-11x+30\end{aligned}[/tex]