How to simplify a fraction with an exponent?

Answer:

A

Step-by-step explanation:

z1 = 4 - i

z2 = -3 - 2i

z1 - z2 = 4 - i - (-3 - 2i) = 4 + 3 - i + 2i = 7 + i

Answer: A

Answer:

B. 39

Step-by-step explanation:

134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.

Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.

now we have the bottom right exterior angle, to find the interior 180-124=56.

Then we can set up the equation to find x:

56+46+2x=180

we have 180 because all triangles angle equal 180.

calculate the equation:

combine like terms, (2x)+(56+46)=180

2x+102=180

Subtract 102 from both sides,

180−102=78

2x=78

Divide both sides by 2.

78/2=39

x=39.

Answer:

C?

Step-by-step explanation:

Answer:

No because the angle of point C is NOT congruent to the angle of point A.

Step-by-step explanation:

A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.

Answer: 7.9inches

Step-by-step explanation:

45.8-14.2=31.6

31.6/4=7.9

Answer:

140*0.4=56

90*0.3=27

56+27=83

Hope This Helps!!!

Answer:

the answer is 6.5 people are wearing glasses that means that 6-7 people are wearing glasses

Answer:

basically you move the y and x to one side and the constant to the other

for example if we had 2y=-5x+6, you'd move the 5x other to the other side by adding 5x and you'd get 5x+2y=6

Answer:

slope = 3/2

Step-by-step explanation:

Step 1: Select two points from the graph.

Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, the slope is 3/2.

Answer:

No graphs????????????

Step-by-step explanation:

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180°

=720°.

______________________________________

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 10 side

n=10

sum of interior angles of a hexagon =(10−2)×180°

=1440°.

hope this helps you.

Answer:

Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \boxed{(2x + 1)(x - 5)}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve ~

Step-by-step explanation:

I answered this already.

Answer:

$2618.52

Step-by-step explanation:

we multiply each monthly payment by the total amount of monthly payments to figure out the overall cost

218.51*12 = 2618.52

Answer:

1.

a. YU, ZV, WS

b. VU, WX, ST

c. ZW

d. WXY

e. TSW

f. VU, TU, ZY, XY

g. VS, WS, ZV, XW, YZ, ZW

2.

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

Step-by-step explanation:

Answer:

y=x^2 is a parabola when y is x squared

y=-x^2 is the first one but when it is flipped over the x axis

y=x^2+2 is the first one shifted two up

y=x^2-2 is the third one but shifted 4 units down

y=2x^2 is the first one but two times the square of x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\[/tex]

= 48%

Answer:

A part of a wall that Melinda paints in 1 minute is: x = 1/80

Answer:

id

Step-by-step explanation:

Answer:

The unlucky player moved 35 spaces after moving five spaces seven turns in a row.

Step-by-step explanation:

Our equation formed is: 7 x 5 = x

=> 7 x 5 = x

=> x = 35.

Therefore, the unlucky player moved 35 spaces.

First, chance the fractions so the denominators are the same. The GCF of these is 10, so multiple both numerators and denominators so the denominator is 10.

1/2 = 5/10

3/5 = 6/10

Add the wholes and the fractions:

5 11/10

Since the numerator is higher than the denominator, we can make another whole:

11/10 - 10/10 = 1/10

So 5 becomes 6 because of the whole:

5 + 1 = 6

The fraction becomes 1/10:

So the final answer is:

6 1/10

(Important Note: Unless asked, you must always put fractions into its smallest form, meaning numerator can NEVER be higher than the demoninator. When you do this process, do not forget to add the whole number or else you will be incorrect.)

(Second note: its not GCF its closest product they have.)

Answer:

6 1/10

Step-by-step explanation:

convert mixed fraction to improper fraction

4 1/2 + 1 3/5

= (4*2 + 1) / 2 +  (1*5 + 3) / 5

= 9/2 + 8/5

= lcm of 2 and 5 = 10

= (5 * 9 + 8 * 2)  /10

= (45 + 16)  /10

= 61/10

= (60 + 1) / 10

= 6 1/10

Hope it helps.

Answer:

a

Step-by-step explanation:

Answer:

1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches

Step-by-step explanation:

In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.

Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.

1) If the length is 12 inches, the width is 7.5 inches

[tex]\frac{5}{8} = \frac{x}{12}[/tex]

[tex]60=8x[/tex]

[tex]\frac{60}{8} =x[/tex]

[tex]7.5 = x[/tex]

2) If the length is 20 inches, the width is 12.5 inches

[tex]\frac{5}{8} = \frac{x}{20}[/tex]

[tex]100=8x[/tex]

[tex]\frac{100}{8} =x[/tex]

[tex]12.5 = x[/tex]

3) If the length is 10 inches, the width is 6.25 inches

[tex]\frac{5}{8} = \frac{x}{10}[/tex]

[tex]50=8x[/tex]

[tex]\frac{50}{8} =x[/tex]

[tex]6.25 = x[/tex]

Answer:

x = 14

Step-by-step explanation:

Answer:

He can stop testing because he has found all the roots.

Step-by-step explanation:

I took the test and it said I got it right.  Hope this helps!