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Firlakuza [10]
3 years ago
6

Find the x-intercept and y-intercept

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Step-by-step explanation:

x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

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Can anyone help me please?
vovangra [49]

Answer:

- 6

Step-by-step explanation:

The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.

Slope(using these pts) = (y2 - y1)/(x2 - x1)

=> - 2 = (-2 - r)/(3 - 5)

=> -2 = (-2 - r)/(-2)

=> (-2)(-2) = (-2 - r)

=> 4 = -2 - r

=> r = - 2 - 4

=> r = - 6

4 0
2 years ago
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Mhanifa please help look at the picture attached
olga55 [171]

Answer:

  • B. (3, 2)

Step-by-step explanation:

<u>Given vertices of triangle:</u>

  • A(1, 2), B(3, 4), C(5, 0)

<u>The centroid is found as the average of x- and y- coordinates of three vertices:</u>

  • C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)

<u>Substitute the coordinates into formula:</u>

  • C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)

Correct choice is B

3 0
3 years ago
Read 2 more answers
The population at a football stadium is 4,068 people.The ratio of men to women in the stadium is 5:4.How many women are at the s
saveliy_v [14]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ 5 + 4 = 9

4068/9 = 452

4 x 452 = 1808

There are 1808 woman at the stadium

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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4 0
3 years ago
Assume that all interest is simple interestBerger Car rental borrow $8500 at 4% interest to cover the increase cost of the auto
viva [34]

we know that

The formula of simple interest is equal to

I=P(rt)

In this problem

we have

I=$170

P=$8,500

r=4%=4/100=0.04

t=?

substitute given values in the formula

\begin{gathered} 170=8,500(0.04t) \\ Solve\text{ for t} \\ t=\frac{170}{8,500*0.04} \\ t=0.5\text{ years} \end{gathered}

therefore

0.5 years=6 months

<h2>The answer is 6 months</h2>
5 0
1 year ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
3 years ago
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