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2 years ago

Solve the equation x. 3 = x/3 + 4

Mathematics

1 answer:

Gennadij [26K]2 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

3 = x/ 3 + 4

This is same as

3/1 = x/ 3 + 4

Then cross multiply

1(x + 4) = 3× 3

x + 4 = 9

x = 9 - 4

x = 5

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What is the slope of the line that contains the points (13,-2) and (3,-2)?

vovangra [49]

Answer:

Slope=0

Step-by-step explanation:

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3 years ago

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3 years ago

write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9

aleksklad [387]

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

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The full equation is y=3x + 18

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2 years ago

Find the surface area of the rectangular prism.<br> 2 km<br> 4 km<br> 7 km<br> HELP !

s2008m [1.1K]

Answer:

100 km squared

Step-by-step explanation:

Front : 14

Back : 14

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Hope this helps!

3 0

2 years ago

The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa

taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs. Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also: a + b + c = Perimeter = 84 units.

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369. Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0. Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

47 ± 23

b = -------------- , so that b is either 35 or 12

and then side a has length a = 47 - b = 12 or 35.

Thus, a = 12 and b = 35, and c is given: 37.

Check: Is 12^2 + 35^2 = 37^2 true? Is 144 + 1225 = 1369? YES

The lengths of the legs are 12 and 35 units.

7 0

2 years ago