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2 years ago

What value of x makes the

Mathematics

2 answers:

loris [4]2 years ago

6 0

Answer:

$x = -12$

Step-by-step explanation:

Step 1: Add 1/4x to both sides

$-\frac{1}{4}x - 12 = x + 3$

$-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x$

$-12 = \frac{5}{4}x + 3$

Step 2: Subtract 3 from both sides

$-12 - 3 = \frac{5}{4}x + 3 - 3$

$-15 = \frac{5}{4}x$

Step 3: Multiply both sides by 4/5

$-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}$

$-12 = x$

Answer: $x = -12$

Vlada [557]2 years ago

6 0

Answer: x = -18.75

-1/4x - 12 = x + 3

Add 12x from both sides to get
-1/4x = x + 15

Then minus x from both sides
-5/4x = 15

The divide by -5/4 to get
x = -18.75

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Step-by-step explanation:

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2 years ago

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

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2 years ago

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1 year ago

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noname [10]

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2 years ago

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The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

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2 years ago