Need help please

1 answer:

8 0

$\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-6}{-2-(-4)}\implies \cfrac{-1}{-2+4}\implies -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-6=-\cfrac{1}{2}[x-(-4)]\implies y-6=-\cfrac{1}{2}(x+4)$

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if a 20 foot ladder makes a 50 degree angle with the ground, how many feet up a wall will it reach. Round to the nearest tenth.

GalinKa [24]

Answer: The ladder would reach 15.3 ft up the wall

Step-by-step explanation: Please refer to the attached diagram.

If the ladder (represented by line AC) rests on the wall (represented by line AB), it forms an angle of 50 with the ground (at point C). The ground is represented by line BC.

We need to remember that we have one side and one angle given in this question. The given side is the hypotenuse (the side facing the right angle, B in this case) and the given angle is the reference angle. The unknown side which is x, is the opposite as it is facing the reference angle.

Having the opposite and the hypotenuse, we can use the Sine ratio which is,

Sine C = opposite/hypotenuse

Sine 50 = x/20

Checking our table of values or by use of our calculator, sin 50 is 0.766

Sin 50 = x/20

0.766 = x/20

By cross multiplication, we now have our equation rewritten as;

0.766 (20) = x

15.32 = x

Rounded to the nearest tenth,

x = 15.3 ft

3 0

4 years ago

Need help ASSAP!. Scatter plot

kakasveta [241]

Answer:

Strong Negative Correlation

Step-by-step explanation:

The overall correlation is negative and the correlation coefficient is at least an 8.0 so the answer is B.) Strong Negative Correlation.

(Sorry I left before.)

8 0

3 years ago

I need help pls<br> 11+4b=8b-13<br> b=?

spin [16.1K]

With this, you need side A to equal side B. Your first step is to move the variable to one side. (I've also worked in out, and color coordinated the steps, so you can see better).

11 + 4b = 8b - 13 < let's subtract "4b" from the left side to get rid of it (we're subtracting because it is added on to left side). This will give us:

11 = 8b - 13 < we've subtracted "4b" from the left side, however what you do to one side of the equal sign, you must do to the other, so subtract "4b" from the right side as well. Once done, you should have this"

11 = 4b - 13 < we have "4b-13" because you can only work with like terms. 8b-4b=4b, and the 13 stays untouched.

Now let's work on isolating the variable. See how we have a -13 on the side with the variable? We don't want that, so we're going to add 13 to that side, to give us 0 and cancel it out. Remember, what you do to one side, you must do to the other, so add 13 to the 11 on the other side as well. This will give you 24, and your equation should now look like this:

24 = 4b < we're almost done, but the variable is not quite by itself yet. We need to get rid of the "4" in "4b". 4 in being multiplied to "b" so we need to do the opposite operation to cancel it out. We need that 4 to be a 1 because 1x=x. So, divide 4b by 4 to get 1b or just plain b.

Remember, what you do to one side, you must do to the other, so divide 24 by 4 to get 6, and you're left with your answer.

Answer 6 = b

Hope this helps!