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3 years ago

Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)

1 answer:

3 0

The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100 (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100

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Can someone help me out with this

katen-ka-za [31]

Answer:

$AB=4.41$

Step-by-step explanation:

Use the cosine ratio, $cosine=\frac{adjacent}{hypotenuse}$ . Insert the values:

$cos25=\frac{4}{x}$

Isolate x. Multiply both sides by x:

$x*(cos25)=x*(\frac{4}{x})\\\\x*cos25=4$

Divide both sides by cos 25:

$\frac{x*cos25}{cos25}=\frac{4}{cos25}\\\\x=\frac{4}{cos25}$

Insert into a calculator:

$x=4.414$

Round to the nearest hundredth:

$x=4.41$

Done.

5 0

2 years ago

2x - 5y=-15<br> can someone walk me through this?

HACTEHA [7]

The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
= (2x/5) + (15/5)
= (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.

3 0

2 years ago

A scuba diver reaches an elevation of -78 feet, which is a depth of 78 feet.

gavmur [86]

Answer:

true

Step-by-step explanation:

depth is how far down you are from the surface

6 0

2 years ago

Question 4 (1 point)

mrs_skeptik [129]

Answer:

(C)y=0

Step-by-step explanation:

An exponential function of the form $f(x) = a (b^x) + c$ always has a horizontal asymptote at y = c.

Given our function $y=4^x$

Comparing with the form, $f(x) = a (b^x) + c$ , we observe that c=0.

Therefore, the exponential function has an <u>asymptote at y=0.</u>

The correct option is C.

7 0

3 years ago

What conclusion can be drawn by observing that 30 is to the right of 10 on a

enyata [817]

The correct answer is B. 30 > 10

Explanation:

In mathematics and related fields, number lines are straight lines that display numbers using intervals this is useful to represent quantities visually, for example in graphs. Additionally, in number lines, numbers are organized in ascending order from left to right, for example, number 1 will be placed to the left of number 2. According to this, number 30 placed to the right of 10 will represent a higher quantity, considering the more you go to the right the higher the number is. Thus, 30 is greater than 10 (30 > 10).

8 0

3 years ago