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3 years ago

3/8 + -7/8 ???????????

Mathematics

1 answer:

saw5 [17]3 years ago

3 0

Answer:

-0.5 hope this help

Step-by-step explanation:

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Find the quotient.<br><br><br> 514÷67

azamat

The answer is 7.67 by my knowledge

3 0

3 years ago

Read 2 more answers

Write the equation of the circle whose center is (-4,8) and has a diameter of 18

svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0

3 years ago

A comet travels along a parabolic path around the Sun. The Sun is the focus of the path. When the comet is at the vertex of the

AlladinOne [14]

Remember that for a function of the form $y=a x^{2}$ , a parabola, the focus will be: $(0, \frac{1}{4a} )$ .
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find $a$ using the focus of the parabola:
$\frac{1}{4a} =60'000.000$
$1=(60'000.000)(4a)$
$1=240'000.000a$
$a= \frac{1}{240'000.000}$

Now, the only thing left is replacing the value of $a$ in our equation $y=a x^{2}$ :
$y=( \frac{1}{240'000.000)} ) x^{2}$
$y= \frac{ x^{2} }{240'000.000}$

We can conclude that the equation that represents the path of the comet is $y= \frac{ x^{2} }{240'000.000}$

5 0

3 years ago

Write the equation of the line in Point-Slope Form given the information below. Slope=-1/5 y-intercept=-3

Ann [662]

Answer: your correct answer is y=-1/5-3

Step-by-step explanation:

I hope that helps and is what your asking for!

5 0

3 years ago

Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.

8_murik_8 [283]

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

The city tax = 2 %

The municipal tax = 1 %

So, The total tax = 6 % + 2 % + 1 % = 9 %

Let The lodging cost = $ x

So, According to question

x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = $\frac{45}{1.09}$ = $ 41.28

Hence The lodging cost of the room is $ 41.28 Answer

6 0

3 years ago