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3 years ago

Does the equation x^2 -4x + y^2 = -3 intersect the x-axis?

2 answers:

5 0

We can rewrite the equation into:
(x-2)^2+y^2=1

Therefore the circle's centre is that (2,0). Since the circle's centre lies on the x axis, the circle must intersect the x-axis.

olya-2409 [2.1K]3 years ago

3 0

Answer:

Yes, because the center is on the x-axis?

Step-by-step explanation:

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What is the percent decrease of $65.50 to $52.40

Ray Of Light [21]

<span>Divide 52.4 by 65.5 and multiply by 100. That is the percent of the 52.4 compared to 65.5.

</span>

5 0

3 years ago

Find an equation for a tangent plane z=e-x2-y2 at the point (0,0,1).

Nadya [2.5K]

Answer: equation of the tangent plane is z = 1

Step-by-step explanation:

Given equation

z = e^(-x²-y²) at point (0,0,1)

now let z = f(x,y)

Δf(x,y) = [ fx, fy ]

= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))

now

Δf (0,0) = [ 0, 0 ] = [ a, b ]

equation of the tangent plane therefore will be

z - z₀ = a(x-x₀) + b(y-y₀)

z - 1 = 0(x-0) + 0(y-0)

z - 1 = 0 + 0

z = 1

Therefore equation of the tangent plane is z = 1

7 0

3 years ago

Which of the following numbers can be expressed as a decimal that terminates? 3/2, 2/3, 3/4, 5/7

Alenkasestr [34]

Answer:

3/2 and 3/4 are terminating decimals

Step-by-step explanation:

Terminating decimals are those whose decimals end.

3/2 = 1 .5

2/3 = .6666repeating

3/4 = .75

5/7 =.714285repeating

8 0

3 years ago

Read 2 more answers

What is 54x > 87? I need to know fast

RoseWind [281]

X > 29/18

hope this helps

6 0

3 years ago

I really need help! This is last minute and its 1 am. I'm tired so I'm going to leave it to you guys to solve my problems and pr

Illusion [34]

Answer:

<h2><u>question 1</u></h2>

$n^{2} - 20n -96 = 0$

use product and sum method

product = -96

sum = -20

numbers needed = ( -24 , 4)

n - 24 = 0

n + 4 = 0

hence <u>n = 24 and n = -4 </u>

<u></u>

<h2><u>Question 2 </u></h2>

in the form $ax^{2} +bx +c = 0$

= $x^{2} +12x - 48$

make use of the formula :

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

replace values to make 2 equations :

1. $\frac{-12+\sqrt{12^{2} -4*1*-48} }{2*1}$ = 3.17

2. $\frac{-12-\sqrt{12^{2} -4*1*-48} }{2*1}$ = -15.2

hence <u>x = 3.17 and x = -15.2</u>

<u />

<h2><u>Question 3 </u></h2>

use product and sum method

product = 40

sum = -14

numbers needed = (-10 , -4)

x - 10 = 0

x - 4 = 0

hence<u> x = 10 and x = 4</u>

<u />

<h2><u>Question 4 </u></h2>

in the form $ax^{2} +bx +c = 0$

this becomes $5b^{2} -20b-18-7$

= $5b^{2} -20b-25$

can simplify by 5

= $b^{2} -4b-5 =0\\$

use product and sum method

product = -5

sum = -4

numbers needed (-5 , 1)

b-5 = 0

b + 1 = 0

hence <u>b = 5 and b = -1</u>

5 0

3 years ago

Read 2 more answers