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RoseWind [281]
2 years ago
11

The first one is done and the options for number four are:

Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

Step-by-step explanation:

Part A

w² + 6w + c = 130 + c

w² + 2(3w) + c = 130 + c

To make left side of the equation a perfect square we will replace c by (3)².

w² + 2(3w) + 3² = 130 + c

[By formula → a² + 2ab + b² = (a + b)²]

w² + 2(3w) + 9 = 130 + 9

Therefore, c = 9 will be the answer.

Part B

From part A,

(w + 3)² = 139

Option (2) and Option (6) are the correct options.

Part C

w + 3 = √139

w = 11.79 - 3

w = 8.79

w ≈ 8.8 inches

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Above is a table with missing terms. Come up with a possible common difference that makes sense and list the missing terms.
Rina8888 [55]

Answer:

common ratio:2 2. 18  3.36  4.72 equation: 4.5(2^x)

Step-by-step explanation:

144=2*2*2*2*3*3    9=3*3

the common ratio would be 2

2. 9*2=18

3. 18*2=36

4. 36*2=72

(check) 72*2=144

0. 9/2=4.5

equation: 4.5(2^x)

7 0
2 years ago
Solve the equation on the interval 0 less than or equals theta less than 2 pi 0≤θ<2π. 2 cosine theta plus 1 equals 0 2cosθ+1=
VARVARA [1.3K]

Answer:

θ = 2π/3 or 5π/3

Step-by-step explanation:

2 cosθ + 1= 0

when  + 1 goes to R H S Side than it becomes negative by transposition   method

2 cos = -1

now by dividing by 2 both sides we get

cosθ  =  -\frac{1}{2}

since cosθ is negative

Cosθ = - cos 60°

it means either cosθ lies in 2nd or third quadrant

θ = π - π/3

or

θ = 2π- π/3

so θ = 2π/3 or 5π/3

6 0
3 years ago
FREE BRAINLIEST!!!!!!
vivado [14]

Let's solve the first inequality at first. So,

−2(x + 4) + 10 < x − 7

-2x- 8 + 10 < x - 7 By distribution property.

-2x + 2 < x - 7 Adding the like terms.

-2x < x - 7 - 2 Subtract 2 from each sides.

-2x < x - 9 By simplifying.

-2x - x < -9 Subtract x from each sides.

-3x < -9

-\frac{3x}{3}

Since we are dividing by negative 3. So, sign of inequality will get change.

So, x>3

Now the next inequality is,

−2x + 9 > 3(x + 8)

-2x + 9 > 3x + 24

-2x > 3x + 24 - 9

-2x > 3x + 15

-2x - 3x > 15

-5x >15

-\frac{5x}{-5} >\frac{15}{-5}

So, x <-3

Hence, the correct choice is x > 3 or x < −3.

7 0
3 years ago
marking brainlist. please help What is the first inverse operation for the following problem? 3x+4=12
Strike441 [17]

Answer:

3x + 4 = 12 :- x = 8 / 3

Step-by-step explanation:

3x + 4 = 12

Move all terms not containing x to the right side of the equation.

Subtract 4 from both sides of the equation.

3x = 12 - 4

Subtract 4 from 12.

3x = 8

Divide each term by 3 and simplify.

Divide each term in 3x = 8 by 3.

3x / 3 = 8 / 3

Cancel the common factor of 3.

Divide x by 1.

x = 8 / 3

The result can be shown in multiple forms.

Exact Form:

x = 8 / 3

Decimal Form:

x = 2.6

Mixed Number Form:

x = 2 2/3

3 0
2 years ago
Answer for Answer? I need the answer to 8 and 9. I’ll answer 2 of yours
steposvetlana [31]
Let's go:

8)

Total of senior students = 38
Total of senior students that preferred evening classes: 7
7/38 = aproximately 0,18 or 18%

Alternative A)

9)
Imagine being sold 100 desserts. Of these 100 desserts, 75% até chocolate, meaning 75 of these desserts are chocolate. Of these 75, 23% contains nuts. So:

75 × 0,23 = 17,25 = aproximately 17,3%

Alternative C)

I hope I helped you.
6 0
3 years ago
Read 2 more answers
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