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larisa [96]
3 years ago
11

(3 + 2i) - (5 -7i) Write answer in standard form a +bi

Mathematics
1 answer:
Bess [88]3 years ago
4 0

(3 + 2i) - (5 - 7i)

Distribute the - sign

3 + 2i - 5 + 7i

Combine like terms

-2 + 9i

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Help please i have a map test :)
just olya [345]
I think it could be E
4 0
3 years ago
What is the slope of the line x + 6y= 12
Lubov Fominskaja [6]

x + 6y = 12

You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.

6y = -x + 12

Next, you divide both sides by 6, so that the y-value will be by itself.

y = - \frac{1}{6} + 2

We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is - \frac{1}{6}

5 0
3 years ago
3. A positive number is 56 less than its square. Find the number.
raketka [301]

Answer:8

Step-by-step explanation:

X+56=x^2

X^2-x-56=0

X^2-8x+7x-56=0

X(x-8)+7(x-8)=0

(X+7)(x-8)=0

X+7=0 or x-8=0

X=-7 or x=8

4 0
3 years ago
To get from the stone to the tree you must avoid walking through a pond. To avoid the pond, you must walk 34 yards north
AlexFokin [52]

Answer:

Rounded, 22 yards.

Step-by-step explanation:

The pythagorean theorem states: a^2 + b^2 = c^2

a = 34, squared = 1156

b = 41, squared = 1681

Add those to get 2837.

√2837 = 53.26, rounded.

34 + 41 = 75

75 - 53 = 22

22 yards is your answer.

7 0
3 years ago
Which equation could generate the curve in the graph below?
dimulka [17.4K]

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

y = 3 {x}^{2}  - 2x + 1

D =  {( - 2)}^{2}  - 4(3)(1)

D =  - 8

D < 0

Option 2,

y = 3 {x}^{2}  - 6x + 3

D =  {( - 6)}^{2}  - 4(3)(3)

D = 0

Option 3,

y = 3 {x}^{2}  - 7x + 1

D =  {( - 7)}^{2}  - 4(3)(1)

D = 37

D > 0

Option 4,

y = 3 {x}^{2}  - 4x - 2

D =  {( - 4)}^{2}  - 4(3)( - 2)

D = 40

D  > 0

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

7 0
3 years ago
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