Simply the expression (4-2i)-(-1+3i)

Answer:

576

Step-by-step explanation:

Answer: 13

Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.

Answer:

Step-by-step explanation:

f(x) = ax² + bx + c

"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )

axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]

If a > 0 the function opens upward and has minimum value.

If a < 0 the function opens downward and has maximum value.

f(x) = - x² - 6x - 4

(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5

Coordinates of vertex are (- 3, 5)

(b). The axis of symmetry is x = - 3

(c). The given function opens downward

y = 5 is a maximum of a given function.

Answer:

5.03

Step-by-step explanation:

Because

Answer:

55 cm²

Step-by-step explanation:

Area of rectangle is 9 × 7 = 63 cm²

Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²

The area of shaded region is 63 - 8 = 55 cm²

Answer:

28 hours

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

60-32=28

Answer:

60-32

Step-by-step explanation:

She saves 32 so subtract 60-32

Answer:

103

Step-by-step explanation:

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

Answer:

1257.6 g

Step-by-step explanation:

1 m = 100 cm

1.6 m = 1.6 * 100 cm = 160 cm

Use a proportion.

196.5/25 = x/160

25x = 196.5 * 160

25x = 31,440

x = 1,257.6

Answer: 1257.6 g

Answer:

11.25 servings

Step-by-step explanation:

Make sure to ignore .79, because it is unnecessary information.

Answer:

Step-by-step explanation:

A = 12 × 16 + (1/2)(12 + 8)(10) = 292 units²

The Equation for Area of figure is area of Figure, h² + 1/2(h)(b) = 80

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given:

We have the figure consist of one rectangle and one right triangle.

Now, Area of Figure,

=Area of rectangle + area of Triangle

= length x width + / x base x height

=  16 x 12 + 1/2 x 10 x 20

= 192+ 100

=292 unit²

and, if the square with height, h, units and a right triangle with height, h units, and a base length, b units.

Then, area of Figure= h² + 1/2(h)(b) = 80 square units.

Learn more about area here:

https://brainly.com/question/1658516

#SPJ2

Answer:

The basic rule is: If you need to convert from a larger unit to a smaller unit, multiply. If you need to convert from a smaller unit to a larger unit, divide. You will make the number smaller and, as you already know, division is all about making numbers smaller.

Answer:

addiemoss23/this person wrote this NOT me, it is right btw

Step-by-step explanation:

To convert units into smaller units, multiply. When the units are smaller , you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger , you need fewer of them to express the same measure.

Answer:

x ≥ -59 or x  ≤-43

Step-by-step explanation:

|x+51|≥8

We know eitherx+51≥8orx+51≤−8

x+51≥8(Possibility 1)

x+51−51≥8−51(Subtract 51 from both sides)

x≥−43

x+51≤−8(Possibility 2)

x+51−51≤−8−51(Subtract 51 from both sides)

x≤−59

x≥−43 or x≤−59

Answer:

yw

Step-by-step explanation:

i dont get it

Answer:

Samantha and Henry are would need to plant 15 tulips and 9 daises.

or 3 sets.

Step-by-step explanation:

Slope of this line and its parallel line is equal

slope = - a / b

= - 6 / 5

Slope of a perpendicular line = 5 / 6

Answer:

I can't actually see the graph but i'll try to help

Step-by-step explanation:

if we use the formula y=mx+b

m=monthly fee

b=initial registration fee

x=amount of months charged

y=total sum paid

So you fill in the formula using the values on the graph

Answer:

.25 cents, per Party hat

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a.-1

b.2/4

Step-by-step explanation: "rise over run"/vertical ( l ) over horizontal ( -- )

Answer:

First Graph: 1

Second Graph: 1/2

Step-by-step explanation:

Rise over run

Look at where the line intersects with the other line perfectly and find the two closest times when that happens, then go up and over and count it.

So for the first one it is: up 1 over 1. That as a fraction is, 1/1 and that equals 1. So the slope is 1.

For the second one it is up 1 over 2. That as a fraction is 1/2. So the slope is 1/2.

Hope this helps :)

Complete question :

You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters.

A. Write an expression that represents the total number of quarters you take with you when you go shopping.

B. How much money do you have left?

Answer:

[20 + (0.4*20)] = 28 quarters

$3.5

Step-by-step explanation:

Given that:

Initial number of quarters = 20

Quarters in room = 40%

Hence, Numbe of quarters in room = 0.4 * 20 = 8

Total number of quarters taken for shopping :

(Initial amount + Numbe of quarters in room)

(20 + 8) = 28 quarters

50% of quarters was spent on shopping :

0.5 * 28 = 14 quarters

Total left :

28 - 14 = 14

Quarters left in dollars :

1 quarter = 25 cent = 0.25 dollars

14 * $0.25 = $3.5

Answer: y= -2x + 1

Step-by-step explanation:

We can formulate the slope equation of that line by

S= Y-Y1/X-X1

By the given statement "parallel", the slope of the function "y=3-2x" shall then equals the first line -->1

to conclude, we will use the first point at x=1 ( Like the given point of the line) and additional point at x=0...

y(1)=3-2(1)=1, Hence, (1,1)

y(0)=3-2(0)=3, Hence, (0,3)

By the fact 1

then we shall conclude with simple linear equation as follow

m=y2-y1/x2-x1 = 1-3/1-0=-2

The general formula of the Required function is y=mx+c

In fact the line passes through the point (1,-1)

Hence y in x=1 equals -1

-1= -2(1)+C

C= -1+2=1

Answer:

Ben

Step-by-step explanation:

We know that pi is not rational  and sqrt(2) is not rational

Ben: 0.435435. . ., 0.5, √25, 0

A repeating decimal can be written as a fraction and sqrt(25) = 5  so Ben has all rational numbers

Answer:358

Step-by-step explanation:

Step-by-step explanation:

Area of the square = a²

= 20²

= 400cm²

Area of the circle = πr²

= 22/7 × 9²

= 22/7 × 81

= 254.57cm²

Area of the shaded region = Area of the square - Area of the circle

= 400cm² - 254.57cm²

= 145.43cm²

Answer:

y = 130

Step-by-step explanation:

Those two exterior angles are equal (property of parallel lines)

y is thsupplement of 4x - 14

2x + 18 = 4x - 14                     Add 14 to both sides

2x + 18 + 14 = 4x - 14 + 14      Combine like terms

2x + 32 = 4x                           Subtract 2x from both sides

2x-2x+32=42-2x                    Combine

32 = 2x                                   Divide by 2

32/2 = x

16 = x

============

4x - 14 =64 - 14 = 50

y = 180 - 50

y = 130

Answer:

C. 130

Step-by-step explanation:

Answer:

y = -2x + 6

Step-by-step explanation:

Since we already have the slope we just need to find the y-intercept.

To do that just plug in the point you were given. (1,4)

4 = -2(1) + b (b represents the y-intercept)

4 = -2 + b (add 2 on both sides)

6 = b

y = -2x + 6 is the equation

Hope this helps!!

Answer:

The equation (in y=mx+b form) would be y= -2x+6

Step-by-step explanation:

The slope is given from the start, which is -2, so you would plug that in for m to make the equation y=-2x but this IS NOT YOUR ANSWER

I was able to graph it, although there are multiple ways to do this.

Next you have to find the y-intercept. You use your coordinate (1,4) and go up twice (positive) (1,6) and go to the left (negative) to get the point (0,6) giving you your intercept.

Plugging it into the equation for b, your equation would now be y= -2x + 6 giving you your final answer

Answer:

The answer is 1/2

Step-by-step explanation:

Answer:

2

Step-by-step example:

(1,2) n (5,10) is having 2 being multiplied by 1 and 5 to get the y-intercept.