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3 years ago

Find the sum of (-4 + 1) and (10 – 5:).

Mathematics

2 answers:

baherus [9]3 years ago

8 0

Answer:

6-4i

Step-by-step explanation:

ANTONII [103]3 years ago

4 0

Answer:

6 - 4i

Step-by-step explanation:

-4 + i = 10 - 5i

+4 +4

i = 14 + 5i

-5i -5i

-4i = 14

i = -3.5

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Write an equation that shows the equivalency between meters and gigameters.

Anastasy [175]

Below is an equation that shows the equivalency between meters andGigameters:

$10 ^{9} m = 1 Gm$

The conversion factor should be used to convert from meters toGigameters should be:

$\frac{1 Gm}{10 ^{9} m }$

4 0

4 years ago

Find the length of the segment that joins the points (-5, 4) and (6,-3).

Helen [10]

Answer:

$\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}$

Step-by-step explanation:

We are asked to find the length of a segment or the distance between the 2 points. The formula for distance is:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

x₁= -5
y₁= 4
x₂= 6
y₂ = -3

Substitute the values into the formula.

$d= \sqrt{(6--5)^2+(-3-4)^2$

Solve inside the parentheses.

6--5 (Back to back negative signs become a positive)= 6+5 =11
-3-4= -7

$d= \sqrt{(11)^2+(-7)^2$

Solve the exponents.

(11)²= 11*11= 121
(-7)²= -7*-7= 49

$d= \sqrt {(121)+(49)$

Add.

$d= \sqrt {170}$

$d=13.0384048104$

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

13.0384048104

$d\approx 13.04$

The length of the segment is √170 or approximately 13.04.

7 0

3 years ago

Solve sin x + 2 sin x cos X = for 0°

solniwko [45]

Answer:

Step-by-step explanation:

hello :

sin x + 2 sin x cosx = 0 equivalent to : sinx(1+2cosx) =0

sinx=0 means : general solution is : x= kπ....k in Z

1+2cosx=0 means : cosx= -1/2 general solution is : x= ±π/6+kπ...k in Z

3 0

3 years ago

The value of x is -1/4. Order the expressions from least to greatest. Enter 1 for the least amount; 2 for the second least amoun

Natasha_Volkova [10]

Answer:

1/20 trust me

Step-by-step explanation:

pls

4 0

3 years ago

Read 2 more answers

For each system of equations, drag the true statement about its solution set to the box under the system?

natta225 [31]

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

coefficients of x and y are the same and the numerical terms

are the same

- The system of equation has one solution if at least one of the

coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

3 0

3 years ago