HELP HURRY !! is the graph a function ?

The area of the triangle is given by the product of 0.5 and the distances of the x and y intercepts from the origin.

Reasons:

The area of the triangle, A = 0.5·x·y

Where;

x and y are the values of the line at the intercepts

The equation of the line is; (y - 7) = m·(x - 8)

At the y-intercept, x = 0, therefore;

(y - 7) = m·(0 - 8) = -8·m

At the y-intercept, y = 7 - 8·m

At the x-intercept, y = 0, therefore;

(0 - 7) = m·(0 - 8) = -8·m

At the x-intercept, -7 = m·x - 8·m

8·m - 7 = m·x

[tex]\displaystyle x = \mathbf{8 - \frac{7}{m}}[/tex]

Therefore;

[tex]\displaystyle A = 0.5 \times \left(7 - 8 \cdot m\right) \times \left(8 - \frac{7}{m} \right) = \mathbf{\frac{-32 \cdot m^2 +56 \cdot m - 24.5}{m}}[/tex]

When the area is minimal, we have;

[tex]\displaystyle \frac{dA}{dm} =0 = \frac{d}{dm} \left(\frac{-32 \cdot m^2 +56 \cdot m - 24.5}{m}\right) = \mathbf{-\frac{32 \cdot m^2 - 24.5}{m^2}}[/tex]

m² × 0 = 24.5 - 32·m²

[tex]\displaystyle m^2 = \frac{24.5}{32} = \frac{49}{64}[/tex]

[tex]\displaystyle m = \sqrt{\frac{49}{64}} = \frac{7}{8}[/tex]

[tex]\displaystyle m = \pm \frac{7}{8}[/tex]

The equation of the line when [tex]\displaystyle m = + \frac{7}{8}[/tex] is therefore;

(y - 7) = m·(x - 8)

[tex]\displaystyle (y - 7) = \mathbf{\frac{7}{8} \cdot (x - 8)}[/tex]

[tex]\displaystyle (y - 7) = \frac{7}{8} \cdot (x - 8) = \frac{7}{8} \cdot x - \frac{7}{8} \times 8 = \frac{7}{8} \cdot x - 7[/tex]

[tex]\displaystyle y = \frac{7}{8} \cdot x - 7 + 7 = \frac{7}{8} \cdot x[/tex]

[tex]\displaystyle y = \mathbf{\frac{7}{8} \cdot x}[/tex]

The x and y intercept of the above line are 0

When [tex]\displaystyle m = - \frac{7}{8}[/tex], we have;

[tex]\displaystyle (y - 7) = -\frac{7}{8} \cdot (x - 8) = -\frac{7}{8} \cdot x + \frac{7}{8} \times 8 = -\frac{7}{8} \cdot x + 7[/tex]

Which gives;

[tex]\displaystyle y = \frac{7}{8} \cdot x + 7 + 7 = \frac{7}{8} \cdot x + 14[/tex]

[tex]\mathrm{The \ equation \ of \ the \ line \ is, }\displaystyle \ y = \mathbf{14 - \frac{7}{8} \cdot x}[/tex]

The equation of the line through P = (8, 7) such that the triangle bounded by the line and the axes in the first quadrant has minimal area is therefore;

[tex]\displaystyle \ \underline{ y = 14 - \frac{7}{8} \cdot x}[/tex]

Learn more here:

https://brainly.com/question/4032024

https://brainly.com/question/1621381

[tex]\huge\green{\tt MathSolution:}[/tex]

C. y < × y < 4

Answer:

So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]

well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.

Answer:

At present he has x stamps

Every month he adds 6 numbers, for 8 months

So total added 8x6=48

The total will be x+48 which is expected to be twice of x

x+48=2x

Solving x=48

At present he has 48 stamps

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

53 + 36 = 89

89 x 4 = 356

and where is the bar diagram????

Answer:

$11

Step-by-step explanation:

This is because If you subtract 19 from 30 your answer will be 19.

Could be -24 if you are raising the -30 by 6.

Answer and explanation in the image.

Answer:

$ 30,000

Step-by-step explanation:

0.15(50,000 - x) - 0.1x = 2,500

7,500 - 0.15x - 0.1x = 2,500

7,500 - 2,500 = 0.15x + 0.1x

5,000 = 0.25x

5,000/0.25 = x

x =20,000

50,000 - 20,000 = 30,000

0.15 * 30,000 = $4,500

0.1 * 20,000 = $2,000

$4,500 - $2,000 = $2,500

Answer:

Find the Diameter!

To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)

For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.

Answer:

I think the other guy is correct I'm just putting this here so you can give him/her brainliest

Step-by-step explanation:

Answer:

x^7

Step-by-step explanation:

Answer:

(x)(x)(x) . (x)(x)(x)(x)

Step-by-step explanation:

That's the answer. Hope it helps:)

Answer:

c) 1:3

Step-by-step explanation:

Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.

Hence 1 : 3

Answer:X= 41

Step-by-step explanation:

Answer:

(y+3)^2 - 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gauss n(n+1)/2

which is n? the last number of the sum

500(500 + 1)/2 = 125,250

800(800+1)/2 = 320,400

uh oh forgot to read the last one, give me a minute. done

(800 - 501 + 1)(800 + 501)/2

300(1301)/2 = 195,150

or

320,400 - 125,250 = 195,150

Answer:

yeah is that all?

Step-by-step explanation:

i feel like I'd understand if there was more to this

You need to take each point and multiply the numbers by 5.

so the first one would be (-3,-1) multiplied by 5.

-3 * 5 = -15

-1 * 5 = -5

so your new point is (-15,-5)

hope this helped!

Check the picture below.

Answer:

See below.

Step-by-step explanation:

Location is Q1

Angle is less than 90

cos Ф = sin(90° - Ф)

cos 80° = sin (90° - 80°)

cos 80° = sin 10°                set your calculator in degree mode

Check

cos 80° = 0.1736481777

sin 10° =  0.1736481777

Answer:

q=13

Step-by-step explanation:

(8q-5)°+81°=180° (angles on a str line)

   8q-5+81=180

            8q=180+5-81

                =104

              q=104÷8

                =13

Using supplementary angle theorem

[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]

[tex]\\ \sf\longmapsto 8q+76=180[/tex]

[tex]\\ \sf\longmapsto 8q=104[/tex]

[tex]\\ \sf\longmapsto q=13[/tex]

Answer:

discount: $5.25

subtotal: $29.75

added tax: $1.19

total: $30.94

Step-by-step explanation:

15% of 35 = $5.25

$35 - $5.25 = $29.75

$29.75 + 4% = $30.94  Sales tax = $1.19

Answer:

Step-by-step explanation:

100% - 15% = 85% = 0.85

$35 × 0.85 = $29.75 (Subtotal)

100% + 4% = 104% = 1.04

$29.75 × 1.04 = $30.94

~~~~~~~~~~~~~~~

What is the discount amount?

$35 × 0.15 = $5.25

What is the subtotal? $29.75

What is the amount of tax added?

$29.75 × 0.04 = $1.19

What does Lin’s father pay for the meal? $30.94

Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.

Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?

[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]

now, if we were to round that up to whole miles, it'd be only 117.

Answer:

A

Step-by-step explanation: :}

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

Answer:

9

Step-by-step explanation:

9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.

Answer:

31.5 inches

Step-by-step explanation:

If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.

Answer:

what... how

Step-by-step explanation:

Answer: 35

Step-by-step explanation: