All categories

3 years ago

Solve the following equation algebraically. Represent your answer in simplest radical form, if necessary.

1 answer:

7 0

$x^2 + x = 30\\\\x^2 + x - 30=0\\\\x^2+6x-5x-30=0\\\\x(x+6)-5(x+6)=0\\\\(x+6)(x-5)=0\\\\x+6=0\ \ \ \ \ \ or\ \ \ \ \ \ x-5=0\\\\x=-6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=5$

You might be interested in

If A denotes some event, what does Upper A overbar denote? If P(A)equals0.999, what is the value of P(Upper A overbar)? Wh

meriva

Answer:

<h3>The event $P(\overline{A})$ denotes the complement of event A.</h3><h3>The value of $P(\overline{A})$ is 0.001</h3>

Step-by-step explanation:

Given that A denotes some event .

And also given that P(A)=0.999

<h3>To find the value of $P(\overline{A})$ :</h3>

Here the event $P(\overline{A})$ denotes the complement of event A Therefore $P(\overline{A})$ contains all the events that does not occur in A.

We know that the total probability is 1

So we have that

$P(A)+P(\overline{A})=1$

$P(\overline{A})=1 -P(A)$

$=1-0.999$

$=0.001$

Hence the complement of event A is $P(\overline{A})=0.001$

<h3>Therefore the value is $P(\overline{A})=0.001$ </h3>

6 0

3 years ago

The answer for this math problem

laiz [17]

Hi, We have a isosceles triangle.

Then,

There is two angles = (2x +2)°

As the sum of angles = 180° To the any triangle.

Then we wiil stay with:

(2x+2)° + (2x+2)° +(3x+1)° = 180°

Canceling °

2x+2+2x+2+3x+1=180

7x +5 = 180

7x = 180-5

7x = 175

Passing 7 dividing 175

x = 175/7

x = 25

This would be your answer!

7 0

3 years ago

Find y'' if y= 9csc x

sineoko [7]

Answer:

y" = csc(x)[9cot²(x) - csc²(x)]

Step-by-step explanation:

Step 1: Define

y = 9csc(x)

Step 2: Find 1st derivative

y' = -9csc(x)cot(x)

Step 3: Find 2nd derivative

y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)

y" = 9csc(x)cot²(x) - csc³(x)

y" = csc(x)[9cot²(x) - csc²(x)]

4 0

3 years ago

Ivan and 3 acrobats are matched up against a team of grandma's. The result is a tie the 2 sides are evenly matched. How many gra

Neporo4naja [7]

Answer:

Step-by-step explanation:

Ivan and 3 others were evenly matched.

1+3=4

So there were 4 grandmas on the other team. :)

4 0

3 years ago

A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta

igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

$sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet$

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

6 0

3 years ago