Approximately how many diameters does it take to equal the measure of a circle's circumference?

Find the value of x in the triangle

Marianna [84]

Answer:

Option D

Step-by-step explanation:

Use the Pythagorean theorem to solve this question

a2+b2=c2

c2 is always the hypotenuse, which is what we have to solve.

3^2+ 5^2=

9+25=34

Now we have to square 34 and there is our answer

6 0

3 years ago

Read 2 more answers

Select the two values of x that are roots of this equation. 2x^2+ 1 = 5x

iren [92.7K]

Answer:

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

Step-by-step explanation:

One is asked to find the root of the following equation:

$2x^2+1=5x$

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

$ax^2+bx+c=0$

Change the given equation using inverse operations,

$2x^2+1=5x$

$2x^2-5x+1=0$

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

Simplify,

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

$\frac{5(+-)\sqrt{25-8}}{4}$

$\frac{5(+-)\sqrt{17}}{4}$

Rewrite,

$\frac{5(+-)\sqrt{17}}{4}$

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

8 0

3 years ago

Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.

liraira [26]

Answer:

Step 2 is wrong.

It should be 3x – 18 + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

6 0

3 years ago

2. Find the theoretical probability of not rolling a 4.

mezya [45]

Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2

Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

8 0

3 years ago

Graph X-intercept of 3 Y-intercept of -8

laiz [17]

Answer:

$\displaystyle 2\frac{2}{3}x - 8$

Step-by-step explanation:

Starting from the y-intercept of $\displaystyle [0, -8],$ you do $\displaystyle \frac{rise}{run}$ by either moving eight blocks south over three blocks west or eight blocks north over three blocks east [west and south are negatives].

I am joyous to assist you anytime.

* 2⅔ = 8⁄3

7 0

3 years ago