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3 years ago

2x – 4 = 6 The answer is 10, but I just need a step by step explanation for this

Mathematics

2 answers:

Bezzdna [24]3 years ago

8 0

Answer:

Step-by-step explanation:

2x−4=6

Step 1: Add 4 to both sides.

2x−4+4=6+4

2x=10

Step 2: Divide both sides by 2.

2x/2=10/2

x=5

vazorg [7]3 years ago

6 0

Answer:

x=5

Step-by-step explanation:

2x – 4 = 6

Add 4 to each side

2x – 4 +4= 6+4

2x = 10

Divide each side by 2

2x/2 = 10/2

x = 5

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Find the m of

zzz [600]

Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.

[23] ABD = 42°, DBC = 35°

(4x - 2) + (3x + 2) = 77°

4x+ 3x + 2 - 2 = 77°

4x+ 3x= 77°

7x= 77°

x= 11°

ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°

DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°

[24] ABD = 62°, DBC = 78°

(4x - 8) + (4x + 8) = 140°

4x + 4x + 8 - 8 = 140°

4x + 4x = 140°

8x = 140°

x = 17.5°

ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°

DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°

6 0

1 year ago

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates

I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points $(x_1,y_1)$ and $(x_2,y_2)$ in m:n, then the coordinates of that point are

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Point G divide the line segment FH in 8:2. Using section formula, we get

$G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)$

$G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)$

$G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)$

$G=\left(4.8,4.4\right)$

Therefore, the coordinates of point G are (4.8, 4.4).

4 0

3 years ago

There is 75 gallons of water into the pool every hour if the pool can hold 6,750 gallons how long will it take to fill the pool?

Andreyy89

Answer:

90 hours

Step-by-step explanation:

The rate at which water enters the pool is

75 gallons

-------------------

1 hour

This is equivalent to

1 hour per 75 gallons, leading to:

1 hour

-------------------- * 6,750 gallons = 90 hours

75 gallons

3 0

3 years ago

Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3

mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = $b_1$ = 10 unit

The measure of base side 2 = $b_2$ = 16 unit

The height of the Trapezoid = h = 3 unit

Let The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = $\dfrac{1}{2}$ × (sum of opposite base) × height

I.e A = $\dfrac{1}{2}$ × ( $b_1$ + $b_2$ ) × h

Or, A = $\dfrac{1}{2}$ × (10 unit + 16 unit) × 3 unit

Or, A = $\dfrac{1}{2}$ × (26 unit) × 3 unit

Or, A = $\dfrac{1}{2}$ × 78 unit²

Or, A = $\dfrac{78}{2}$ unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0

3 years ago

Determine which gym's membership grows faster from Month 2 to Month 4 by calculating the average rates of change.

nlexa [21]

Answer:

Gym A is growing faster

Gym A gained 13 members between months 2 and 4

Gym B gained 10 members between months 2 and 4

Step-by-step explanation:

Gym A: (2,20) (4,46)

rate of change = (46-20)/(4-2) = 26/2 or 13

Gym B: (2,40) (4,60)

rate of change = (60-40)/(4-2) = 20/2 or 10

8 0

3 years ago