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Marizza181 [45]
3 years ago
10

Indicate the equation of the given line in standard form.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

The line through (a,b) with slope m is

y-b = m(x-a)

Here that's

y + 1 = (3/4) (x - 2)

Let's multiply by 4 to clear the fractions and distribute the constants,

4y + 4 = 3x - 6

Rearranging into standard form,

3x - 4y = 10

Check.  The slope is 3/4, good. 3(2) - 4(-1) = 6+4 = 10 good

Answer: 3x - 4y = 10

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Prove the following identity true. Show work.
yulyashka [42]

Answer:

The  Pythagorean identity states that

\sin^2 t + \cos^2 t = 1

Using that we can rewrite the left denominator as:

1 - \sin^2 t

Which can be factored as

(1 - \sin t)(1+ \sin t)

The numerator we can expand as:

(1 - \sin t)(1 - \sin t)

On the right hand side, let's multply numerator and denominator with (1 - sin t):

The total formula then becomes:

\dfrac{(1-\sin t)(1-\sin t)}{(1 - \sin t)(1 + \sin t)} = \dfrac{(1-\sin t)(1 - \sin t)}{(1+\sin t)(1 - \sin t)}

There you go... left and right are equal.

3 0
3 years ago
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Fill in the missing numbers in these equations
Crank
Give me the equations
6 0
3 years ago
Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th
vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

\frac{9}{1}=\frac{x}{3}

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

6 0
3 years ago
Select the statement that best justifies the conclusion based on the given information.
CaHeK987 [17]

9514 1404 393

Answer:

  c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

<em>Additional comment</em>

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is <em>relevant to the question being asked</em>.

8 0
2 years ago
Cory needs 24 boards that are 47 1/2 inches long. If you can only buy 8 foot boards, how many should he buy?
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Tell Cory he needs to get the brainly app or
Tell Cory he needs to buy 72 boards
4 0
3 years ago
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