what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)​

Answer:  Holly would take 60 minutes to clean alone.

Step-by-step explanation:

Let t = Time taken by Holly to clean alone.

Given: Time taken by Mia to clean alone = 30 minutes

Time taken by Mia and holly to clean their room = 20 minutes

Then,

[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]

Hence, Holly would take 60 minutes to clean alone.

Answer:

No, 3 is not a factor of 34

Answer:

no

Step-by-step explanation:

34: 1,2,17,34

Answer:

C

Step-by-step explanation:

35, 42, 105 respectively

Answer:

32, 42, 105

Step-by-step explanation:

(32)^2 = 32×32

= 1225

(42)^2 = 42×42

= 1764

(105)^2 = 105×105

=11025

Answer:

Any real number strictly larger than 9 and strictly less than 21.

Step-by-step explanation:

By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.

We therefore could set up three inequalities.

x+6>15, x+15>6, 15+6>x

Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.

Answer:

C.) 32

Step-by-step explanation:

2^5 = 32

Answer:

0.8

Step-by-step explanation:

that's the decimal.

Answer:

0.8

Step-by-step explanation:

Answer:

[tex]V(x) = -\frac{340}{3}x +2220[/tex]

[tex]V(8) = 1313.3[/tex]

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

[tex](x_1,v_1) = (0,2220)[/tex]

[tex](x_2,v_2) = (6,1540)[/tex]

Solving (a): The linear function

First, we calculate the slope (m)

[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{1540-2220}{6-0}[/tex]

[tex]m = \frac{-680}{6}[/tex]

[tex]m = -\frac{340}{3}[/tex]

The linear function is calculated using:

[tex]v - v_2 = m(x - x_2)[/tex]

Where:

[tex](x_2,v_2) = (6,1540)[/tex]

[tex]m = -\frac{340}{3}[/tex]

So, we have:

[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]

Open bracket

[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]

[tex]v - 1540 = -\frac{340}{3}x +680[/tex]

Make v the subject

[tex]v = -\frac{340}{3}x +680+1540[/tex]

[tex]v = -\frac{340}{3}x +2220[/tex]

So, the function is:

[tex]V(x) = -\frac{340}{3}x +2220[/tex]

Solving (b): When x = 8

Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]

[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]

[tex]V(8) = -\frac{340*8}{3} +2220[/tex]

[tex]V(8) = -\frac{2720}{3} +2220[/tex]

Take LCM

[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]

[tex]V(8) = \frac{-2720+6660}{3}[/tex]

[tex]V(8) = \frac{3940}{3}[/tex]

[tex]V(8) = 1313.3[/tex]

Hence, its value after 8 years is 1313.3

Answer:   y=  2/3x  +  14/3

Step-by-step explanation:

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

Property of Addition and division.

Answer:

[tex]r=9.0\:\mathrm{cm}[/tex]

Step-by-step explanation:

The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:

[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].

Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.

Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).

The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.

For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

We can rearrange this formula to solve for r:

r = [tex](3V/4\pi)^{(1/3)[/tex]

Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:

r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm

Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.

For more details regarding volume, visit:

https://brainly.com/question/1578538

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Answer:

Y=−3x2+6x+9

Step-by-step explanation:

Answer:

its A :)

Step-by-step explanation:

The value of x from the figure is 4

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

Answer:

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Answer:

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Answer: y = -1/2x - 1

Answer

5.33 units

Step-by-step explanation:

uh kakis

Answer:

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Step-by-step explanation:

1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:

[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]

= [tex]\frac{-5}{-3}[/tex]

= [tex]\frac{5}{3}[/tex]

2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Answer:

x= tm+5/4-t

Step-by-step explanation:

4x-5=t(x+5)

4x-5-=tx+tm   distributive

4x-5-tx=tm    substract tx from both sides

4x-tx=tm+5   add 5 to both sides

x * 4+ x(-t) =tm+5  factor x out 4x-tx

x(4-t)=tm+5   factor x out x*4 + x(-t)

x(4-t)/4-t= tm/4-t+ 5/4-t   divide each term in 4-t

x= tm/4-t + 5/4-t combine the numerators over the common denominator

x=tm+5/4-t

Answer:

z=-3

Step-by-step explanation:

Step 1: Subtract 9z from both sides.

Step 2: Subtract 3 from both sides.

Use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 15^2 = 25^2

a^2 + 225 = 625

a^2 = 400

a = 20

Answer: 20 cm

Hope this helps!!

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Answer:

cant see from the light retake the photo

Step-by-step explanation:

We learnt this way in Turkey.

Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

Answer:

− 3.5 ( x + y )

Hope this helps

Step-by-step explanation:

Answer:

− 3.5 ( x + y )

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Step-by-step explanation:

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