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Nezavi [6.7K]
3 years ago
10

Find the value of x in the triangle shown below.

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 +x^2 = 13^2

144 +x^2 = 169

Subtract 144 from each side

144-144 +x^2 = 169-144

x^2 =25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

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What is the equation, in slope-intercept form, of the line that passes through the points (−24, 5) and (16, −20)?
ser-zykov [4K]

Answer:

C (Y = -5/8x - 10)

Step-by-step explanation:

first find the slope (y₂ - y₁) ÷ (x₂ - x₁)

(5 - (-20)) ÷ (-24 - 16)

-5/8 = slope (m)

now that we know the slope is -5/8 we can rule out A and B

now to find the y intercept just substitute a point in for x and y

5 = (-5/8)(-24) + b

multiply

5 = 15 + b

subtract 15 from both sides tp isolate b

-10 = b

4 0
3 years ago
On Friday, a local hamburger shop sold a combined total of 393 hamburgers and cheeseburgers. The number of cheeseburgers sold wa
Lunna [17]
The answer would be about 98 hamburgers.
This is because you would have to divide 393 by 2 to get 196.5.
Since the number of cheeseburgers is doubled divide 196.5 by 2 to get 98.25.
Add 98.25 to 196.5 and get 294.75.
Subtract.
6 0
3 years ago
Which describes the number and type of roots of the equation 4x^3-6x^2+15x+2=0?
pashok25 [27]

Answer: Non of the option.

Step-by-step explanation:

The given equation is

4x^3 - 6x^2 + 15x + 2 = 0

Let's test 1, if it's one of the root. I.e

If x = 1

4 - 6 + 15 + 2 = 15

Positive 1 is not a root to the equation

If x = - 1

-4 - 6 - 15 + 2 = - 23

Negative 1 is not a root

If x = 2

4x8 - 6×4 + 15×4 + 2

32 - 24 + 30 + 2 = 40

Positive 2 is not a root

If x = - 2

4×(-8) - 6×4 - 15×2 + 2

-32 - 24 - 30 + 2 = -84

Negative 2 is not a root

If x = 3

4×27 - 6×9 + 15×3 + 2

108 - 54 + 45 + 2 = 101

Since non of them tend to zero, non of the option is a root of the equation

3 0
3 years ago
What is 32.043 in expanded form
cestrela7 [59]
<span>for writing 32.043, we first should know more information about such a number, 32.043 is a decimal number, 32 is called the integer part, and 043 is decimal part. So every decimal number can be written as a sum of two or more another decimal numbers, for example, 32.043= 30 + 2 + 0.04 + 0.003.</span>
3 0
3 years ago
Find the distance between the points (–3, 2) and (0, 3).
Oksi-84 [34.3K]

Answer: \sqrt{10}\ units

Step-by-step explanation:

You need to use the following formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the points  (-3, 2) and (0, 3), you can identify that:

x_2=-3\\x_1=0\\\\y_2=2\\y_1=3

Then, the final step is to substitutes these coordinates into the formula.

So, the distance between the given points is:

d=\sqrt{(-3-0)^2+(2-3)^2}\\\\d=\sqrt{10}\ units

6 0
3 years ago
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