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2 years ago

Please visit my previous questions to know what the word problem is

Mathematics

1 answer:

Rudiy272 years ago

4 0

Answer:

As below

Step-by-step explanation:

using eq from problem 4) y = -45x + 1080

then use the point slope formula with the slope of the above line at -45 and plug in your given point of (8, 240)

y-y1 = m(x-x1) where m is the slope above

y-240 = -45 (x - 8 ) this is an equation for the line but the teacher probably wants the slope intercept form... the formula is y = mx + b

soooo...

y-240 = -45x + 360

y = -45x +360 + 280

y = -45x + 640

there you go :)

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Passes through<br> (-8, 3) and (8, -1).

lawyer [7]

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

5 0

2 years ago

Cameron and Sydney are running for class president. Cameron won and received 25% more votes than Sydney. There were a total of 7

olga_2 [115]

Cameron would have gotten 182 votes. Sydney would have gotten 547.

6 0

3 years ago

(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this

Kryger [21]

Check the picture below.

$\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141$

$\bf 4y+\cfrac{35y}{3}=141\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 4y+\cfrac{35y}{3} \right)=3(141)}\implies 12y+35y=423 \\\\\\ 47y=423\implies y=\cfrac{423}{47}\implies \blacktriangleright y = 9 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{5y}{3}}\implies x = \cfrac{5(9)}{3}\implies \blacktriangleright x = 15 \blacktriangleleft$

4 0

3 years ago

Which equations represents the line that pases through points (1,-5) and (3, -17)?

Pachacha [2.7K]

Answer:

y= -6x +1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.

In order to find the equation of a line, you would need 2 things:

① Gradient (← can be found)

② Coordinate (✓ we have 2 coordinates here)

To find the gradient, use the gradient formula below:

$gradient = \frac{y1 - y2}{x1 - x2}$

$m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6$

Substitute the value of m into the equation:

y= -6x +c

To find the value of c, substitute a pair of coordinates.

When x=1, y= -5,

-5= -6(1) +c

c -6= -5

c= 6 -5

c= 1

Thus, the equation of the line is y= -6x +1.

4 0

2 years ago

Answer each of the following questions.

Olegator [25]

Answer:

$13,045.68

Step-by-step explanation:

The future value of an annuity is given by the formula ...

A = P((1 +r/n)^(nt)-1)/(r/n)

where r is the annual interest rate, n is the number of times it is compounded per year, and t is the number of years.

Filling in the given numbers, we have ...

A = $200((1+.05/4)^(4*12) -1)/(.05/4) ≈ $13,045.68

After 12 years, the accumulated value is $13,045.68.

3 0

3 years ago