What expression is equivalent to 3(x + 4)

Find the value of x to the nearest tenth.<br> a. 11.3<br> b. 12.5<br> c. 12.9<br> d. 13.1

Scorpion4ik [409]

Answer:

B

Step-by-step explanation:

We have perpendicular bisector through a chord of the circle. We know the length, so either side of the chord is 11 due to the bisector cutting it directly in half. Since the radius is a fixed distance from the center to any point on the edge of the circle, we can draw the radius x from the circle to the end of the chord to form a right triangle.

We can use Pythagorean Theorem $a^{2} +b^{2} =c^{2}$ to find the missing side length x. a=6, b=11 and c=x.

$(6)^{2} +(11)^{2} =x^{2}$

$36+121=x^2\\157=x^2\\\sqrt{157}=x\\ 12.5=x$

8 0

4 years ago

Graphing<br>solve a system of equation by graphing

Alex787 [66]

SOLUTION:

$Point \ (1,3)$

<h2>Explanation:</h2>

Let's use the following System of Linear Equations in Two Variables in order to solve this exercise:

$\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}y=2x+1\\y=-4x+7\end{array}\right.$

So we can graph these lines using two points.

For eq (1):

$y=2x+1 \\ \\ If \ x=0 \ then \ y=2(0)+1 \therefore y=1 \\ \\ If \ y=0 \ then \ 0=2x+1 \therefore x=-\frac{1}{2} \\ \\ \\ Points: \\ \\ (0,1) \\ \\ (-\frac{1}{2},0)$

So graph a line that passes through these two points. This is the red line shown below.

For eq (2):

$y=-4x+7 \\ \\ If \ x=0 \ then \ y=-4(0)+7 \therefore y=7 \\ \\ If \ y=0 \ then \ 0=-4x+7 \therefore x=\frac{7}{4} \\ \\ \\ Points: \\ \\ (0,7) \\ \\ (\frac{7}{4},0)$

So graph a line that passes through these two points. This is the blue line shown below.

<em>The solution of this system of equation is the point of intersection, which is (1,3)</em>

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

8 0

3 years ago

A survey reports that the probability a person has blue eyes is 0.10. Assume that 4 people are randomly selected at Miramar Coll

marissa [1.9K]

Answer:

0.344 = 34.4% probability that at least 1 of them have blue eyes.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have blue eyes, or they have not. The probability of a person having blue eyes is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$