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3 years ago

Ten increased by the quotient of a number and 2 is -15

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

2x +10 = -15

2x = -25

2x/2 = -25/2

x = -25/2

hope this helps

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Zolol [24]

To find the area of a triangle, you multiply the base times the height and multiply it by 2.
In order to find the height, you need to do this in reverse.
1.multiply 24x2
2. Find possible multiples.
3. 4x12=48, 12(the base) is three times four, and 48/2 is 24.
Answer: the height of the triangle is 4

7 0

3 years ago

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zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Write your answer in simplest radical form

liubo4ka [24]

Answer:

x = 2 yd

Step-by-step explanation:

Angles of 45 degreees = two congruent legs

for the Pythagorean theorem

2x^2 = 8

x^2 = 4

x = 2

5 0

2 years ago

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How do u factor..<br>x^2 + 10× - 2400 = 0

Lunna [17]

Answer:

${ \bf{ {x}^{2} + 10x - 2400 = 0}} \\ { \bf{ \red{it \: has \: no \: rational \: factors}}} \\ x = - 54.2 \: \: and \: \: 44.2$

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3 years ago

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Eli and Karl each throw a basketball straight up in the air at the same time. Eli is standing on a deck and the height of his ba

tino4ka555 [31]

We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

$-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\ \\ 
12x+2.5=14x \\ \\ 
2.5=2x \\ \\ 
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Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25

For Eli:
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For Karl:
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Thus height of both basketball is equal after 1.25 seconds

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3 years ago

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