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Elis [28]
2 years ago
10

Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​

Mathematics
1 answer:
Naddika [18.5K]2 years ago
6 0

Consider the first blank is the green box.

Given:

The equations are

3x+2y=9

-x-2y=4

To find:

The value belongs in the green box

Solution:

We have,

3x+2y=9        ...(i)

-x-2y=4        ...(ii)

Adding (i) and (ii), we get

3x+2y-x-2y=9+4

(3x-x)+(2y-2y)=13

2x+0=13

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

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The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B?
patriot [66]

Answer:

m∠B = 110°

Step-by-step explanation:

We know that,

The sum of the measures of the angles in a pentagon is 540°.

So, we get,

130 + (x-5) + (x+30) + 75 + (x-35) = 540

i.e. 3x + (130+30+75) - (5+35) = 540

i.e. 3x + 235 - 40 = 540

i.e. 3x + 195 = 540

i.e. 3x = 540 - 195

i.e. 3x = 345

i.e. x= 115°

Now, as m∠B = (x-5)° = (115-5)° = 110°

Hence, the measure of angle B is 110°.

4 0
3 years ago
Read 2 more answers
The diameter of a circle is 6 cm. Find its area to the nearest tenth.
Kruka [31]

Answer:

28.27cm²

Step-by-step explanation:

formula:

A=πr²

d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

hope this helped!

8 0
3 years ago
Read 2 more answers
The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo
Kaylis [27]

The rule for g(x) is: f(x) = (x-3)^2-3

Step-by-step explanation:

Given function is:

f(x) = x^2

When a function f(x) is shifted right or left, b units the new function is written as:

f(x) = x

Shifting right

g(x) = f(x-b)

Shifting left

g(x) = f(x+b)

Similarly, when shifting up or down

g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down

As our given function is shifted 3 units to the right, it will be written as:

f(x) = (x-3)^2

The function is when moved down 3 units, then

f(x) = (x-3)^2-3

Hence

The rule for g(x) is: f(x) = (x-3)^2-3

Keywords: Function transformation, Functions

Learn more about functions at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

5 0
3 years ago
the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work
olga2289 [7]

Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = \frac{kn}{w} ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = \frac{30k}{6} ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = \frac{2n}{w} ← equation of variation

When w = 5 and n = 40 , then

t = \frac{2(40)}{5} = \frac{80}{5} = 16 hours

3 0
2 years ago
Solve the equation<br> -5.1 + 8 = -7
photoshop1234 [79]

Answer: 2.9 ≠ −7 (False)

Step-by-step explanation:

5 0
3 years ago
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