Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than

Which equation is parallel to the line LaTeX: y=\frac{1}{2}x+3y = 1 2 x + 3and passes through the point (10, -5)?

sukhopar [10]

Answer:

$Equation\ of\ line:\ y=\frac{1}{2}x-10$

Step-by-step explanation:

$Let\ the\ required\ equation\ is\ y=mx+c\\\\where\ m\ is\ the\ slope\ of\ the\ equation\ and\ c\ is\ y-intercept\\\\It\ is\ parallel\ to\ the\ equation\ y=\frac{1}{2}x+3\\\\Hence\ slope\ of\ these\ two\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{2}x+3\ is\ \frac{1}{2}\\\\Hence\ slope\ of\ y=mx+c\ is\ \frac{1}{2}\Rightarrow m=\frac{1}{2}\\\\Equation:y=\frac{1}{2}x+c\\\\Line\ passes\ through\ (10,-5).\ Hence\ this\ point\ satisfies\ the\ equation\ of\ line.\\\\-5=\frac{1}{2}\times 10+c$

$-5=-5+c\\\\c=-10$

$Equation\ of\ line:\ y=\frac{1}{2}x-10$

8 0

2 years ago

Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta

Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, the events are:

Event A: Positive test result.

Event B: Pregnant.

The probability of a positive test result is composed by:

99% of 10%(truly pregnant).

2% of 90%(not pregnant).

Hence:

$P(A) = 0.99(0.1) + 0.02(0.9) = 0.117$

The probability of both a positive test result and pregnancy is:

$P(A \cap B) = 0.99(0.1)$

Hence, the conditional probability is:

$P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462$

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

7 0

2 years ago

HELP HELP MEEEEEEE Determine whether the triangles are similar. If they are write similarity statement. Explain your reasoning.

Alex_Xolod [135]

Answer:

no

Step-by-step explanation:

every triangles degrees equal 180.

78+21=99

180-99=81

the smaller triangle

21+80= 101

180-101=79

so the degrees are different

6 0

2 years ago

Help me with 5 and 6 please I really don’t get it

alekssr [168]

Answer:

5 is congruent, 6 is not congruent

Step-by-step explanation:

In 5, both shapes have the same side lengths. This means their areas are the same, making them congruent.

In 6, the shapes do not have the same side lengths. This means their areas are not the same, making them not congruent.

6 0

3 years ago

What is the slope of a line parallel to the line whose equation is 3x + 3y = 72. Fully

CaHeK987 [17]

Answer:

The slope of the equation is -1, so the slope for the parallel line will also be -1.

Step-by-step explanation:

6 0

3 years ago