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miskamm [114]
3 years ago
12

What is the value for x

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
Because this is a right angle triangle, we can use the Pythagorean theorem to find the missing leg.

The Pythagorean theorem is this: a^{2} + b^{2} = c^{2}

The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.

We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.

24^2 + b^2 = 26^2

Solve for b.

24^2 + b^2 = 26^2
576 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100

Take the square root of both sides.

b = 10

So, the other leg of the triangle is 10 units long.
myrzilka [38]3 years ago
6 0
Using the Theorem of Pythagoras (a² + b² = c²)

Put in the values:

24² + x² = 26²
Solve for x
576 + x² = 676
Subtract 576 from both sides
x² = 100
Find the square root of 100
x = 10

The answer is 10 :)

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
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The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's
spin [16.1K]

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x                           Remove the brackets

1600 + 4x = 8100 - x                            Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x     Do the subtraction

4x = 6500 - x                                        Add x to both sides

4x + x = 6500 - x + x        

5x = 6500                                            Divide by 5

5x/5 = 6500/5                                      

x = 1300

1300 gallons were added to the station's tank.

3 0
3 years ago
Read 2 more answers
What is the measure of angle DEB in degrees? Explain howyou know. i need help
viktelen [127]

Looking at the given diagram, angle AEC and angle DEB share the same vertex, E. They are described as vertically opposit angles. In geometry, vertically opposite angles are equal. This means that

Angle DEB = angl AEC = 50 degrees

3 0
1 year ago
Laura had some money in her wallet she spent $18.62 buying groceries and had $43.55 left how much money did she have in her wall
Setler [38]
Your answer is 62.17
3 0
3 years ago
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What are the slopes of these two ?
trasher [3.6K]

Step-by-step explanation:

3)

2x + 3y = 12

Solve for y. Then you have y = mx + b, and m is the slope.

3y = -2x + 12

y = -2/3 x + 12

slope = -2/3

6x - 4y = 8

-4y = -6x + 8

y = -6/(-4) x + 8/(-4)

y = 3/2 x - 2

slope = 3/2

Since the slopes -2/3 and 3/2 are opposite reciprocals, the lines are perpendicular.

4)

3x - 4y = 12

-4y = -3x + 12

y = -3/(-4) x + 12/(-4)

y = 3/4 x - 3

slope = 3/4

4x + 3y = 15

3y = -4x + 15

y = -4/3 x + 5

slope = -4/3

Since the slopes 3/4 and -4/3 are opposite reciprocals, the lines are perpendicular.

5 0
3 years ago
Read 2 more answers
Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution
Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\

for y=e^{6x}:

y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\

Now we replace in the differential equation  y'' − y' − 30y = 0

for y=e^{-5x}:

25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0

for y=e^{6x}:

36e^{6x}-6e^{6x}-30=0\\36-6+30=0

Now, to know if both function are linearly independent we calculate the Wronskian

W(f,g)=fg'-f'g

W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0

I hope this is useful for you

Best regard

7 0
4 years ago
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