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4 years ago

PLEASE ANSWER, DIFFICULT QUESTION

Mathematics

1 answer:

Dimas [21]4 years ago

7 0

the set of solutions of the equation |f(x)|=a

is always equivalent to sum of sets of solutions of equations:

f(x)=a

and

f(x)=-a

therefore correct answer is the first and the second equation

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The equation of a circle is x2 + y2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates

stepladder [879]

Answer:

C and D are unchanged, but E increases.

Step-by-step explanation:

Given equation of circle

x^2+y^2+Cx+Dy+E=0

But we know that general equation of circle is with center at (h,k)

x^2 + y^2 -2hx -2ky + (h^2 + k^2 – r^2) = 0

Comparing both equations we get,

C = -2hx

D = -2ky

As in the given question we are not changing the coordinates of center so C and D will remain unchanged.

It also gives us

E = (h^2 + k^2 – r^2)

Decreasing r means that a lesser quantity will be subtracted from h^2 + k^2 which will increase the value of E.

8 0

3 years ago

Find the product mentally. [(x + 1)(x - 1)]^2 pls help. Be quick if you can =)

BartSMP [9]

Answer:

$x^{4} -2 x^{2} +1$

Step-by-step explanation:

Step 1:-

Given problem is [(x + 1)(x - 1)]^2

by using formula in side square bracket is

$(a+b)(a-b)=(a^{2}-b^{2})$

$[x^{2} -1]^{2}$

Step 2:- again we will use formula

$(a-b)^{2} = a^{2} -2 a b+b^{2}$

$[tex](x^2-1)^{2} = (x^{2}) ^{2} -2 x^{2} (1)+1^{2}$ [/tex]

on simplification we get

$x^{4}-2 x^{2} +1$

Final answer:-

$x^{4}-2 x^{2} +1$

6 0

3 years ago

Desta's pitcher holds 2 quarts of water. If she poured 4 pitchers of water into her cooler, how many gallons of water did

klemol [59]

Answer:

2 gallons

since each pitcher holds 2 quarts of water and 4 quarts= 1 gallon, Desta poured 2 gallons of water into her cooler

4 0

3 years ago

If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =

Alex

Using the intersecting chord theorem:

a x b = c x d

x+21 * 4 = x+3 * 10

Simplify:

4x+84 = 10x+30

Subtract 30 from both sides:

4x + 54 = 10x

Subtract 4x from both sides:

54 = 6x

Divide both sides by 6:

x = 9

4 0

3 years ago

Read 2 more answers

What are the answers to these questions ?

Semmy [17]

7a=49
a=49/7
a=7
-6=2x
x=-6/2
x=-3
-32=-4b
B=-32/-4
B=8
u/6=9
u=9*6
u=54
-8=C/-10
c=-8*-10
C=80
54=-9d
D=54/-9
D=-6
-12y=60
y=60/-12
y=-5
r/20=-2
r=-2*20
r=-40
g/10=-9
g=-9*10
g=-90
cost of the camera =$300
her weekly savings=$15
15x=300
x=300/15
x=20
in 20 weeks she will have enough money to buy the camera
speed of a race car= 205mph
distance travelled in three hours = x
r=D/t
d=r*t
speed = distance/time
distance = speed * time
x=205*3
x=615miles

7 0

4 years ago

*PLEASE ANSWER, DIFFICULT QUESTION*

PLEASE ANSWER, DIFFICULT QUESTION