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2 years ago

Equation of a line passing through 2,5 with a slope of -1

Mathematics

1 answer:

Andru [333]2 years ago

6 0

Answer:

point slope form y-5 = -1(x-2)

slope intercept form y = -x +7

Step-by-step explanation:

We have the slope and a point, we can use the point slope form

y-y1 = m(x-x1)

y-5 = -1(x-2)

Distribute

y-5 = -x+2

This is the point slope form

We can also manipulate the equation into slope intercept form

Add 5 to each side

y-5+5 = -x+2+5

y = -x +7

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What is 956.074054898 rounded to the nearest whole number

Aleks [24]

956 dude this is not difficult

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2 years ago

Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

So, the solutions of the quadratic equation are 3 and -7.

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2 years ago

Free points, will give brainllest too

kow [346]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Latoya has a large collection of basketball cards. She gave half to a friend and a 1/4 to her brother. She still has 75 cards le

Murljashka [212]

Answer: She had 200 cards to start with

Step-by-step explanation:

Let x = the amount of cards she had initially. This means she had x cards to start with.

She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.

She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.

Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8

She still has 75 cards left. This means

3x/8 = 75

Cross multiplying with 8, it becomes

3x = 75×8 = 600

x = 600/3 = 200

She had 200 cards to start with.

4 0

2 years ago

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The object of the game is to toss a beanbag in the circular hole of a 48-by-24-inch board. If the diameter of the circle is 6 in

larisa [96]

Answer:

Geometric probability of an object hitting a circular hole is 0.0245.

Step-by-step explanation:

We have given,

A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.

So,

Area of a board = 48 × 24 = 1152 square inches

And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}

Area of circular hole = π×3² = 9π = 28.27 square inches

Now, we need to find the geometric probability of an object will hit the circle.

Geometric probability = Area of circular hole / Area of board

Geometric probability = $\frac{28.27}{1152}$

Geometric probability = 0.0245

hence geometric probability of an object hitting a circular hole is 0.0245.

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2 years ago