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nataly862011 [7]
3 years ago
8

can you help me please it's due in an hour and it's basically saying to find the slope​ please ignore the doodle

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

\frac{10}{-1}

Step-by-step explanation:

slope = \frac{rise}{run}

\frac{y_{2 - y_{1} } }{x_{2} - x_{3}  } = \frac{60 - 30}{3 - 6} = \frac{30}{-3}

simplify:

\frac{30}{-3} = \frac{10}{-1}

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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°
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Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}\\\\&#10;c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}

\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}&#10;\\\\\\&#10;therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}&#10;\\\\&#10;-------------------------------\\\\&#10;sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13}  \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}
3 0
4 years ago
Please help thanks!!
Sidana [21]

So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.

3 x 4 = 12

√8 x √3 = √24

Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:

12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6

In short, the answer is 24√6, or the first option.

4 0
3 years ago
Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f
aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ D  = |b|-|a|

⇒ D  = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}

⇒ D  = \sqrt{233} -\sqrt{169}

⇒ D  =15.26 -13

⇒ D  =2.6

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0
4 years ago
I need help solving this practice question solve for x​
zloy xaker [14]
X = 6
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3 0
3 years ago
Which of the following values of x will result in a true statement when
vodka [1.7K]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

-3(x-2)=9  Equation/Question

Step 2

-3(x-2)=9  Remove parenthesis

3x+6=9

Step 3

3x+6=9  Add -6

-3x=3

Step 4

−3x=3  Divide

answer

x=-1

Hope this helps

5 0
3 years ago
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