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luda_lava [24]
3 years ago
10

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0
find the slope of the two points written in the graph ( slope = rise. )
———-
Run
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10 1/8 + (3 5/8 + 2 7/8)
erik [133]
If you're trying to simplify, 3 5/8+ 2 7/8 = 6 4/8. So 10 1/8 + 6 4/8 is 16 5/8
3 0
3 years ago
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If a basketball was dropped 32 feet from a second floor of a home, how far would it rebound if it bounciness was
valentina_108 [34]

Answer:

23.68

Step-by-step explanation:

74% = 74/100

\frac{74}{100} · \frac{32}{1} = 23.68

4 0
3 years ago
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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
Sergio [31]

Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

4 0
3 years ago
Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)
Zarrin [17]

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

M - P = 3/4(Q - P)

For the x-coordinate, we have that:

x + 6 = 3/4(2 + 6)

x + 6 = 6

x  = 0.

For the y-coordinate, we have that:

y + 5 = 3/4(7 + 5)

y + 5 = 9.

y = 4.

The coordinates are (0,4).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
the ratio of girls to boys on a soccer team is 2 to 3.if there are 25 players on the team,how many are girls
Lemur [1.5K]
2x-\ girls\\\\&#10;3x-\ boys\\\\&#10;2x+3x=25\\\\&#10;5x=25\ \ \ | divide\ by\ 5\\\\&#10;x=5\\\\&#10;2x=2*5=10\\\\&#10;There\ are\ 10\ girls.
3 0
3 years ago
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