Segment BC is parallel to segment DE

What is the square root of 75 in the simplest form

lesantik [10]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

$\sqrt{75} = \sqrt{5^{2}*3} =5\sqrt{3}$

8 0

2 years ago

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Which equation has x = –6 as the solution?

olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

Step-by-step explanation:

<u>Checking the equation</u>

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

$\log _3\left(-2x-3\right)=2$

Use the logarithmic definition

$\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2$

$-2x-3=3^2$

$-2x-3=9$

$-2x=12$

$\mathrm{Divide\:both\:sides\:by\:}-2$

$\frac{-2x}{-2}=\frac{12}{-2}$

$x=-6$

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

3 0

3 years ago

Read 2 more answers

Graph the equations to find the solution(s) to the system.

liraira [26]

By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)

<h3>How to solve the system of equations?</h3>

Here we have the system of equations:

y = x + 3

y = 13*(x + 5)*(x - 1).

To solve this system graphically, we need to graph both equations and see where the curves intercept.

The graph of the two equations can be seen below.

There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0

1 year ago

Which statements describe a parallelogram that must be a rectangle? Select each correct answer. parallelogram with opposite side

Delicious77 [7]

The following statements are true for a parallelogram that must be a rectangle.

parallelogram with a right angle

parallelogram with congruent diagonals

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Squares, rectangles and rhombuses are all parallelograms but with slight differences.

5 0

2 years ago

A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and a

olga_2 [115]

Answer:

P(X=3cars) = 0.052

P(X>3 cars) = 0.00638

Step-by-step explanation:

In total there are 7 cars per hour.

Using formulae for geometric Probability

P(X=3) = (7^3×e-7)/3! = 0.0521

P(X>3cars) = (7^2× e-7)/2! =

P(X>3) = 0.0128/2×1 =0.00638

7 0

2 years ago