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3 years ago

What is the slope of the line that passes through the following points (-1,5) & (-2,3)

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

Answer:

Step-by-step explanation:

The slope of a line given two points is found by

m = (y2-y1)/(x2-x1)

= (3-5)/(-2- -1)

=(3-5)/(-2+1)

= -2/-1

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6= 2(y+2) i need help on this

vitfil [10]

Y = 1
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2 years ago

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q

Sedbober [7]

Answer:

$(q+\frac{11}{2})^2-\frac{121}{4}$

Step-by-step explanation:

We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form $a^2+2ab+b^2$ .

To convert our given expression into perfect square trinomial, we need to add and subtract $(\frac{b}{2})^2$ from our given expression.

We can see that value of b is 11, so we need to add and subtract $(\frac{11}{2})^2$ to our expression as:

$q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2$

Upon comparing our expression with $(a+b)^2=a^2+2ab+b^2$ , we can see that $a=q$ , $2ab=11q$ and $b=\frac{11}{2}$ .

Upon simplifying our expression, we will get:

$(q+\frac{11}{2})^2-\frac{11^2}{2^2}$

$(q+\frac{11}{2})^2-\frac{121}{4}$

Therefore, our perfect square would be $(q+\frac{11}{2})^2-\frac{121}{4}$ .

8 0

3 years ago

Read 2 more answers

What is the measure of the missing angle?

Lerok [7]

Answer:

115°

Step-by-step explanation:

Knowing that the sum of all interior angles of any triangle is 180 degrees, we can find the measurement of the missing angle of the triangle. The calculation is 180 - 75 - 40 = 65. Then, notice that the blue angle and the missing angle are supplementary (linear; add up to 180 degrees). So we can find the blue angle's measurement by 180 - 65, so the answer is 115 degrees.

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3 years ago

A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a

Nastasia [14]

Our final answer must represent "number of mosquitos." This verifies that the correct calculation would be

1000 mosquitos 10.5 hours
----------------------- x --------------------
1 hour 1

Multiply this out. Note that "hours" will cancel.

Whats your result?

Supposing that your result looked like xxxxx times 10^0,

you'd convert this into scientific notation by moving the decimal place four units to the left (obtaining x.xxx) and then increasing the exponent of 10 from zero to four (obtaining 10^4).

Then your answer would have the form x.xxx times 10^4 (mosquitos)

8 0

3 years ago

There are 15 students in the 8th grade. The students are randomly placed into three different algebra classes of 5 students each

xeze [42]

Answer:

The probability is $\frac{6}{91}$ ≅ $0.0659$

Step-by-step explanation:

Let's analyze the question.

There are 15 students in the 8th grade.

The students are randomly placed into three different algebra classes of 5 students each.

We are looking for the probability that Trevor, Terry and Evan will be in the same algebra class.

One possible way to solve this question is to think about the product probability rule.

We can use it because we are in an equiprobable space. (And also the events are independent).

Let's set for example a class for Evan.

The probability that Evan will be in a class is $1$

Then for Terry there are $4$ places out of $14$ that puts Terry in the Evan's class.

We write $1.\frac{4}{14}$

Finally for Trevor there are $3$ places out of the remaining $13$ that puts Trevor in the same class with Evan and Terry.

Using the product rule we write :

$1.\frac{4}{14}.\frac{3}{13}=\frac{6}{91}$

The probability of the event is $\frac{6}{91}$ ≅ $0.0659$

5 0

3 years ago