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2 years ago

$456 is divided between the telephone and electricity bills in a ratio of 2 : 1. What amount goes to the telephone bill?

Mathematics

1 answer:

kipiarov [429]2 years ago

5 0

$304 is the answer because 456/3 and then multiply by 2

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What equals -36 when added but equals 160 when multiplied.

Irina18 [472]

X + y = -36

x * y = 160

x = -36 - y

(-36-y) * y = 160

-36y - y^2 = 160

y^2 + 36y + 160 = 0

y = -5.19 and x = -30.8

or

y = -30.8 and x = -5.19

You can write them in this form too

x+ysqrt(z)

7 0

3 years ago

Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0

Kipish [7]

So our equation currently is ⇒ $x^2+y^2-10x+8y-8 = 0$

Let's first move all the constant to one side and group 'like variables' together:

$(x^2-10x)+(y^2+8y) = 8$

Now lets complete the square of both equations

$(x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2$

Now we know the circle's general equation format is:

⇒ $(x-h)^2+(y-k)^2 = r^2$

(h, k) ⇒ coordinate of the center of the circle
r ⇒ length of radius of circle

Thus the radius of the circle is 7

Hope that helps!

7 0

2 years ago

A building has a window that is 12 feet high. Stan is going to use a ladder to get up to the window and decides to keep the ladd

olasank [31]

Answer=13 feet long

This information describes a right triangle, with sides 5ft and 12ft.

a²+b²=c²
5²+12²=c²
25+144=c²
169=c²
√169=√c²
13=c

The ladder needs to be 13ft long

3 0

4 years ago

Renay has dimensions 2" x 1.5" the scale of the copy is 1" x 40 cm find the dimensions of the original painting

Afina-wow [57]

I confused ! I don't get what your trying to say please explain better !

5 0

3 years ago

Find(g-f)(x)

VARVARA [1.3K]

Answer:

x^2+2x-5 - 1/x

Step-by-step explanation:

f(x)=1/x

g(x)=x^2+2x-5

(g-f)(x) = x^2+2x-5 - 1/x

6 0

3 years ago

Read 2 more answers