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2 years ago

Find the slope of the line.

Mathematics

2 answers:

insens350 [35]2 years ago

5 0

-3

Hope this helps :)

pychu [463]2 years ago

3 0

The answer is 3. Hope this helps :)

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Kim's furniture store is offering a 30% discount on all its armchairs. Using a proportion, find the discount of the price of an

Airida [17]

79.8 is the discount of the price of an armchair that originally cost $266.00......... because 266.00÷30%=79.8

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3 years ago

Read 2 more answers

Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original tria

Black_prince [1.1K]

Answer:

(-6,-9) , (0,0) and (3,-6)

Step-by-step explanation:

Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis

By dilating by a factor of 3, we multiply each term by 3

We have the following;

A’(-6,9) B’(0,0) and C’ (3,6)

Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)

So the vertices will be as follows;

(-6,-9) , (0,0) and (3,-6)

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3 years ago

You spend $24 on school supplies. You purchase pencils for $1 each and pens for $2 each. You purchase a total of 20 pens and pen

Phantasy [73]

You purchased 4 pens and 16 pencils.

7 0

3 years ago

(6) (Bonus) Determine the Cartesian equation of the surface with spherical coordinate equation rho = 2 cos θ sin φ − 2 sin θ sin

KonstantinChe [14]

Answer:

Hence, the sphere has a radius of $\sqrt{3}$ and is centered at the point (1,-1,1)

Step-by-step explanation:

We have the equation

$\rho=2cos\theta cos\phi-2sin\theta sin\phi+2cos\phi$

We have to take into account the relation between coordinates

$\rho=\sqrt{x^2+y^2+z^2}\\x=\rho cos\theta sin\phi\\y=\rho sin\theta sin\phi\\z= \rho cos\phi$

by substituting we have:

$\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z$

We have to complete squares:

$(x^2-2x+1)+(y^2+2y+1)+(z^2-2z+1)-1-1-1=0\\\\(x-1)^2+(y+1)^2+(z-1)^2=3$

Hence, the sphere has a radius of $\sqrt{3}$ and is centered at the point (1,-1,1)

hope this helps!!

4 0

3 years ago

Find indicated side of right triangle 45 percent 7

larisa86 [58]

Answer:

a = 7

b = 7 $\sqrt{2}$

Step-by-step explanation:

in a 45-45-90° triangle, the length of legs to hypotenuse is 1 : $\sqrt{2}$

4 0

3 years ago