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3 years ago

PLEASE, SOMEONE, I CAN'T FAIL THIS CLASS

Mathematics

1 answer:

Alenkasestr [34]3 years ago

8 0

$\text{You're finding the applicable expression}\\\\\text{One way we could solve this is by plugging in the values in the left}\\\text{column to the expressions}\\\\\text{Lets plug in 2 to the first expression:}\\\\2^2+2+3\\\\\text{Solve:}\\\\4+2+3\\\\6+3=9\\\\\text{You would see that it gave you the right value, lets try it on another one:}\\\\3^2+3+3\\\\9+3+3\\\\12+3=15\\\\\text{This expression works}\\\\\boxed{x^2+x+3}$

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Two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle?

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Answer:

Step-by-step explanation:

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2 years ago

Water that flows over land is the definition of which term

Paraphin [41]

Answer:Surface

Step-by-step explanation:

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2 years ago

Imagine that you are given two linear equations in slope-intercept form. You

murzikaleks [220]

The correct answer is option D.

<h3>What is Straight Line?</h3>

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.

If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.

Consider an example:

Equation 1: 2x + y = 4

Equation 2: 4x + 2y = 8

If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:

Slope intercept form of Equation 1: y = -2x + 4

Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4

Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.

Thus, the correct answer is option D.

Learn more about Straight line from:

brainly.com/question/20492082

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2 years ago

Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the

fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For $y$ :

$sin(65 \°)=\frac{y}{45 ft}$ (1)

Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

Isolating $y$ :

$y=40.78 ft$ (2)

For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

Finding $d$ :

$d=x+100 ft$ (5)

$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

So, in this case we will use the <u>Pithagorean theorem</u>:

$h^{2}=y^{2} +d^{2}$ (7)