Which expression is equivalent to (9 + 3i) - (-4 + i)?
A. 5 + 2i
B. 5 + 4i
C. 13 + 2i
D. 13 + 4i

Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.

Answer:

yes it's all correct good luck

Answer:

Obtuse Scalene Triangle

Give me Brainliest if I'm correct , please ! :)

a) 10 - 1/4x = 7

   1/4x = 7 + 10

           = 17

   x = 17/ (1/4)

b) 3 (x + 8 ) = 21

   x + 8 = 21/3

            = 7

   x = 7 - 8

      = -1

Answer:

I know that's it's Biased but I can't fully get my answer out.

I beleive its biased because he is only asking those who works for the newspaper but every fifth person

I think this answer was help you

Answer:55%

Step-by-step explanation:

There are 20 in total with 11 shaded. Percentages are always out of 100,so 20x5=100 and you do the same with 11. So 11x5=55%.

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

Answer:

30 degrees

Step-by-step explanation:

see the opposite side. it is the same thing but upside-down.

(remember straight line is 180 degrees)

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

[tex]y=2x+4[/tex]

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Answer:

-17

Step-by-step explanation:

Answer:

u need to breath and calm down

Step-by-step explanation:

breath in and out for 5 sec u will feel better

Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

4x−3−2x=2x+7−2x

2x−3=7

Step 2: Add 3 to both sides.

2x−3+3=7+3

2x=10

Step 3: Divide both sides by 2.

x=5

And theres our answer.

Hope this helped! :)

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x= 7 +3

2x=10

2x/2=10/2

x=5

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Answer:

A, C, E

Step-by-step explanation:

Answer:

57.18

Step-by-step explanation:

C = 2πr

C = 2(π)(9.1)

C = 57.18

.

=2×22/7×12

=75.42in

And

d=18.2cm

[tex]c = \pi \: d[/tex]

= 22/7×18.2

=57.2cm

Answer:

C is correct

Step-by-step explanation:

I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]

Step-by-step explanation:

Given

A piece of land is 3 miles wide

It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide

Suppose width be b

So, length becomes [tex]\frac{24+1}{6}b[/tex]

Also, [tex]b=3\ \text{miles}[/tex]

[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

Answer:

B

Step-by-step explanation:

its a right angle and one point is 40 as shown already so 90-40=50 hope this helps

So you would take your 90° angle which is the box on the bottom right hand corner and add 40° which would equal 130° and then you would subtract 180° -130° and you would get 50°.

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

Learn more on degree of polynomial here: https://brainly.com/question/25538519

Answer:

-6

Step-by-step explanation:

substitute x=-2

f(-2)=(-2)-4=-6

Answer:

- 6

Step-by-step explanation:

f(x) = x - 4

f( - 2) = - 2 - 4 = - 6

Answer:

8 rooms

Step-by-step explanation:

6 ÷ 3/4 which equals 6 x 4/3 = 8

Answer:

8 rooms

Step-by-step explanation:

6 / (3/4) = 8