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2 years ago

Simplify the radical expression. Please explain how you got your answer. √25/4

Mathematics

1 answer:

Leto [7]2 years ago

7 0

Its 2.5 if both the numbers are under sqrt.

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What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?

Paladinen [302]

Answer:

$\vec v = 2\cdot \vec a = \langle -4,6 \rangle$

Step-by-step explanation:

Let $\vec a = \langle -2, 3 \rangle$ , we need to determine $\vec v = 2\cdot \vec a$ , which can be found by applying the following property:

$\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle$ , $\forall \,\alpha,x,y\in \mathbb{R}$ (1)

Then,

$\vec v = 2\cdot \langle -2,3 \rangle$

$\vec v = \langle -4,6 \rangle$

8 0

2 years ago

Solve equation by completing the square round to the nearest hundredth if necessary <br> X2-4x-=5

kipiarov [429]

Answer:

x=-1 and x=5

Step-by-step explanation:

we have

$x^{2} -4x=5$

Solve it by completing the square method

We take the coefficient of x that is -4, divide it by 2 and then square it

$-\frac{4}{2}=-2$

square it

$(-2)^2 = 4$

Adds 4 both sides

$x^{2} -4x+4=5+4$

Combine like terms right side

$x^{2} -4x+4=9$

Rewrite as perfect squares

$(x-2)^{2}=9$

take square root both sides

$x-2=\pm3$

$x=2\pm3$

therefore

$x=2+3=5$

$x=2-3=-1$

6 0

3 years ago

A messenger entered a building on the ground

sp2606 [1]

He first travels 15 floors. He then travels 12 floors, to get to the 3rd floor. He finally travels 35 floors, for a total of 62 floors.

8 0

2 years ago

What does it mean when 6 people share 12 muffins

Andrej [43]

Answer:

Each person gets 2 muffins

Step-by-step explanation:

12 divided by 6 is 2

5 0

2 years ago

Read 2 more answers

(PLEASE HELP) A contractor has 10 lots for sale to build on. 4 lots are greater than two acres. 6 lots are less than two acres.

charle [14.2K]

Probability that the first lot sold will be less than two acres = number of lots less than two acres / total number of lots = 6/10 = 3/5

Probability that the second lot sold will be less than two acres = remaining number of lots less than two acres / remaining total number of lots = 5/9

Required probability = 3/5 x 5/9 = 15/45 = 1/3

8 0

3 years ago