A runner is 7/8 from the finish line.

The equation of perpendicular line is [tex]$y=-\frac{11}{6} x+\frac{43}{6}[/tex].

The equation of the straight line is represented by

y = mx + c

where m is the slope , and c is the intercept on y axis.

Calculate the slope m of BC using the slope formula

[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

with [tex]$\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=\mathrm{B}(8,4)$[/tex] and [tex]$\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=\mathrm{C}(-3,-2)$[/tex]

[tex]$m_{B C}=\frac{-2-4}{-3-8}=\frac{6}{11}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]$m_{\text {perpendicular }}=-\frac{1}{m}=-\frac{1}{\frac{-6}{11}}=-\frac{11}{6}$[/tex], then

[tex]$y=-\frac{11}{6} x+c[/tex]  is the partial equation

To find c substitute A(3,8) into the partial equation

[tex]$9=-\frac{-11}{6}+C[/tex]

[tex]$-\left(-\frac{11}{6}\right)+C=9$$[/tex]

Apply rule -(-a)=a

[tex]$\frac{11}{6}+C=9$$[/tex]

Subtract [tex]$\frac{11}{6}$[/tex] from both sides

[tex]$\frac{11}{6}+C-\frac{11}{6}=9-\frac{11}{6}$$[/tex]

Simplify

[tex]$C=\frac{43}{6}$$[/tex]

[tex]$y=-\frac{11}{6} x+\frac{43}{6}[/tex] be the equation of perpendicular line.

Therefore, the value of c = 43/6.

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Answer:

10 ft

Step-by-step explanation:

a) [tex]-4\geq x\geq -1[/tex]

x <= -4 and x >= -1

b) [tex]2<x\leq 4[/tex]

x > 2 and x <= 4

c) [tex]3 > x > 9[/tex]

x < 3 and x > 9

d) [tex]-5 \leq x < 0[/tex]

x >= -5 and x < 0

Hope this helps!

Answer:

c) 3ft= 1 yards

18/3 = 6 yards

12/3 = 4 yards

Perimeter- 6×2+4×2=20 yards

6×4=24yards²

d) I foot= 12 inches

18ft = 12×18= 216"

12ft =12×12= 144"

Perimeter- 216×2+144×2= 720 inches

216"×144"= 31,104 inches²

Median = 18+19/2

= 18.5

Answer:

Step-by-step explanation:

Answer:

y = -2/4x -5

Step-by-step explanation:

Assuming that the answer will be in slope intercept form, and not standard form. It would go a little like this:

Finding the slope:

y2 - y1/x2 - x1

-6 - (-4) / 2 -(-2)

-6 + 4 / 2 + 2

-2/4

Simplifying further, the slope would be: -1/2

The slope would be -1/2.

Now, checking desmos, the equation would be: y = -2/4x -5.

1/2 of 30 = 15

1/4 of 30 = 7.5

just divide 30 by 2 and 4

your welcome :)

Answer:

7.5

May be

have a great day ahead

Answer:

Step-by-step explanation:

using sine formula

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c} \\\frac{sin \angle XYZ}{19} =\frac{sin 62}{24} \\sin \angle XYZ=\frac{19}{24} \times sin 62\\\angle ~XYZ=sin^{-1}(\frac{19}{24} \times ~sin~62) \approx 44.35^\circ[/tex]

Answer:

256/243

Step-by-step explanation:

64/27 x 4/3 x 1/3

Step-by-step explanation:

x²=72²+65²

x²=5184+4225

x²=9409

x=97.

hope this helps you.

3% of 70 means "0.03 x 70" which is 2.1.

The sales tax is $2.10.

Answer:

A.   Yes, there is a value that will maximize the profit overall x values. This is true when the functions C(x), R(x), and P(x) are often defined only for non-negative integers, that is, for x = 0, 1, 2, 3... . The reason is it is not logical to speak about the cost of producing −1 cars or the revenue generated by selling 3.62 refrigerators. Thus, each function may give rise to a set of discrete points on a graph.

The formulas for these questions are:

C(x) = cost of producing x units of the product

R(x) = revenue generated by selling x units of the product

P(x) = R(x) − C(x) = the profit (or loss) generated by producing and (selling x units of the product.)

B.  No, there is not an x-value that will maximize the profit over [0,1000]. This is true since 1,000 is the horizontal asymptote, which means that the line of the graph keeps traveling with the HA until the profits drop since we cannot produce anything more than 1,000 units of energy per day. The graph of this problem would be a horizontal asymptote at y = 1,000. The line of the graph would start at zero and increase until it reaches the asymptote at 1,000 and continues towards infinity.

C.  Yes, there is an x-value that is exactly zero. This is true because zero is our starting point in our profits. The x and y value would be (0,0) as we have just begun to produce energy units. Once the graph starts to increase, we cannot have a point at exactly zero, unless the profits have a dramatic drop to the x value of 0. This would then be (0, at a number of diminishing returns)

Answer:

x=3; y=0

Step-by-step explanation:

Answer:

4+g=14

g=14-4

g=10

Step-by-step explanation:

please mark me as brainlest

Answer:

y=2x+6

Step-by-step explanation:

I just did process of elimination, the line crosses the y-axis through a positive area, and all the other answers had a negative y-intercept, so it couldn't be any of those.

Way: W = k * w  * h^2/ L

4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

Gravitational force of attraction on an object, caused by the presence of a massive second object, such as the Earth or Moon.

Given,

Maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height.

beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons.

W = k × w × h²/ L

8 = k × 5 × 2² / 10

8 = k ×20/10

8 = 2 × k

k = 4

The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

w =4 ×6 ×2² / 24

= 24 ×4/ 24

W=4 tons

Hence 4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

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Answer:

x    y

-2  -8

-1   -4

1     4

Answer:

A and C would be your answer

Hope it helps!

Answer: C = b-(d/a)

Step-by-step explanation:

Given, a(b-c) = d

or, b-c = d/a

or, -c =(d/a)-b

or, c = b-(d/a)

Answer: x-intercept: (4, 0) y-intercept: (0, -6)

Step-by-step explanation: Ask for explanation if you want it.

Answer:

Step-by-step explanation:

Let the 3-digit number is abc = 100a + 10b + c.

We have:

Simplify the first equation:

Solve for c by substitution:

Find a:

Find b:

The number is:

Answer:

it's TRUE

Step-by-step explanation:

because when you add a negative number at both sides of an inequality and then u will flip the inequality sign

Answer:

True

Step-by-step explanation:

Answer:

0.46410161514

Step-by-step explanation:

Just search up square root of 12 and then subtract 3 from it.

Answer:

$180

Step-by-step explanation:

(12*10)+(12*5)

12*5 = 120/2 = 60 (half of 12*10)

12*10= 120

120 + 60= $180

You don't even have to calculate (12*5) you can just do 12*10/2