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2 years ago

The slope of a line segment is −3/4 and the rise is known to be 21, find the run.

Mathematics

1 answer:

djverab [1.8K]2 years ago

6 0

Answer:

-28

Step-by-step explanation:

The big thing to remember here is

Slope=Rise/Run

We can put x for the run and get this equation

21/x=-3/4

From here it gets really easy. To find the value of x we can change -3/4 into 21/-28 because in this case we need a common numerator. 21/x=21/-28 and it is obvious that x=-28

Hope this helped let me know if you have questions.

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the hypotenuse of a triangle is one foot more than twice the length of the shorter legal. the longer leg is seven feet longer th

wolverine [178]

8, 15, 17

You can do this by using the Pythagorean Theorem and setting the sides equal to

shorter leg = x
longer leg = x + 7
hypotenuse = 2x + 1

Then solve so that one side is equal to zero and use the quadratic formula.

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3 years ago

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lys-0071 [83]

Answer:

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Step-by-step explanation:

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3 years ago

Which equation has no solution? |-x - 3| = 5 |2x – 1| =0 |15 - 3x|= -8 |-x + 9| = 0

djverab [1.8K]

Answer:

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Step-by-step explanation:

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3 years ago

What are the roots to the equation 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

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3 years ago

yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the

mr Goodwill [35]

9514 1404 393

Answer:

area: 524 cm²
perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

210 cm² +314 cm² = 524 cm² . . . . area of the figure

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

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3 years ago