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3 years ago

Solve the equation for x √x+4-7=1

Mathematics

1 answer:

MAVERICK [17]3 years ago

8 0

Answer:

2 $2\sqrt[3]{2}$

Step-by-step explanation:

1) Simplify the left side:

x $\sqrt{x}$ -3 = 1)

2) Add 3 to both sides:

x $\sqrt{x}$ = 4

3) Square both sides:

$x^{3}$ = 16

4) Cube root both sides:

x = $\sqrt[3]{16}$

5) Simplify:

x= 2 $\sqrt[3]{2}$

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Which shape has a larger atea a rectangle that is 7 inches by 3/4 inch, or a square with side length of 2 1/2 inches?

viktelen [127]

The square has a larger area

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4 years ago

What are the coordinates of point B on AC Such that the ratio of AB to AC is 5:6

Oksi-84 [34.3K]

Answer:

$\vec B = \left(x_{A}+\frac{5}{6}\cdot (x_{C}-x_{A}), y_{A}+\frac{5}{6}\cdot (y_{C}-y_{A}), z_{A}+\frac{5}{6}\cdot (z_{C}-z_{A})\right)$

Step-by-step explanation:

Let suppose that A, B, and C have the following points with respect to origin in the Euclidean space:

$\vec A = (x_{A}, y_{A}, z_{A})$

$\vec B = (x_{B}, y_{B}, z_{B})$

$\vec C = (x_{C}, y_{C}, z_{C})$

Besides, let consider that locations of A and B are currently known. The ratio is:

$\frac{AB}{AC} = \frac{5}{6}$

$AB = \frac{5}{6} \cdot AC$

Vectorially speaking, expression can be rewritten in the following terms:

$\overrightarrow{AB} = \frac{5}{6}\cdot \overrightarrow{AC}$

$(x_{B}-x_{A}, y_{B}-y_{A}, z_{B}-z_{A}) = \frac{5}{6}\cdot (x_{C}-x_{A}, y_{C}-y_{A}, z_{C}-z_{A})$

Now, each side of the equation is summed vectorially by $\vec A$ and coordinates of point B are finally found:

$\vec B = \left(x_{A}+\frac{5}{6}\cdot (x_{C}-x_{A}), y_{A}+\frac{5}{6}\cdot (y_{C}-y_{A}), z_{A}+\frac{5}{6}\cdot (z_{C}-z_{A})\right)$

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3 years ago

Brian is riding his skateboard to his friend's house. Brian is pushing on the ground with his foot to move himself and the skate

andreyandreev [35.5K]

Answer:

Chemical Energy

Step-by-step explanation:

According to the Law of Conservation of Energy, energy is neither created nor destroyed. It is an entity that's always existing in the environment. It takes different forms of energy. Among the choices, the best answer would be letter B. Chemical energy. The chemical energy originates from the energy within the muscles that are dormant. Once used, this chemical energy is transformed into mechanical energy by the action of pushing his foot on the ground.

7 0

3 years ago

Read 2 more answers

Shen drove 780 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?

Wittaler [7]

780miles/12 hours equals 65 miles per 1 hour. if you are going at the same rate, you multiply 65 miles times 5 hours to get 325 miles. he drove 325 miles in 5 hours

7 0

3 years ago

Solve the following multiplication problem. 11 cu. yd. 17 cu. in. × 135

Gekata [30.6K]

Answer:

69,286,455 cu inches

Step-by-step explanation:

Step 1: Convert yards to inches

1 cu yard = 46656 cu inches

11 cu yard = y cu inches

Cross multiply

y = 11 x 46656

y = 513216 cu inches

Step 2: Find total inches

513216 + 17 = 513233 cu inches

Step 3: Multiply total inches by 135

513233 x 135 = 69,286,455 cu inches

8 0

3 years ago