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3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

svetoff [14.1K]3 years ago

6 0

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

NemiM [27]3 years ago

3 0

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

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A number to the 9th power divided by the same number to the 6th power equals 125. What is the

Gelneren [198K]

Answer:

Step-by-step explanation:

Let the required number be x

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4 years ago

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DaniilM [7]

Answer:

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Step-by-step explanation:

The area of the circle is given by

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4 years ago

Read 2 more answers

Find (f + g)(x) and its domain.

Nostrana [21]

Answer:

The domain of function( f+ g)(x) ( (-∞,∞))

Step-by-step explanation:

Given ( f + g)x = f(x) +g(x)

The domain of function (f + g)(x) is (-∞,∞)

Example:-

f(x) = 2 x² + 3x and g(x) = 4x² +3

(f + g)(x) = f(x) +g(x)

= 2 x² + 3x + 4 x² + 3

= 6x ² + 3 x + 3

The domain of (f + g) (x) is ( -∞,∞))

3 0

3 years ago

A circle has a diameter with endpoints (-8, 2) and (-2, 6). What is the equation of the circle?

choli [55]

Answer:

Step-by-step explanation:

Alright, lets get started.

We have given two points that are end point of diameter.

So, the center point will be :

x co-ordinate : $\frac{-8-2}{2}=-5$

y co-ordinate : $\frac{2+6}{2}=4$

Hence the center is : (-5,4)

Now the distance between these two end points :

$d=\sqrt{(6-2)^2+(-2+8)^2}$

$d=\sqrt{16+36}$

$d=\sqrt{52}$

So radius will be half of this diameter.

$r=\frac{\sqrt{52} }{2}$

Plugging these values in standard equation of circle

$(x-x_{1} )^2+(y-y_{1} )^2=r^2$

$(x+5)^2+(y-4)^2=\frac{52}{4}$

$(x+5)^2+(y-4)^2=13$ .................................. This is the answer

Hope it will help :)

8 0

3 years ago

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miskamm [114]

Answer:

$\frac{3^{12}}{3^{10}}$

Step-by-step explanation:

+ or x you plus the indices

- or divide you minus the indices

so 3^8 x 3^4 would be 3^12

and 3^2 x 3^8 would be 3 ^10

7 0

3 years ago