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2 years ago

Which statement is true about the function shown in the graph?

Mathematics

1 answer:

lutik1710 [3]2 years ago

8 0

Answer:

the function is increasing

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Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

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

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

3 years ago

Which of the following expressions is equal to -3x^2 - 27 ?

Alborosie

Answer: D. -3x+9i)(x+3i) i hope this helped :)

3 0

3 years ago

Anyone know the answer I’m lost…

Artist 52 [7]

Answer:

#1: -1

#2: 1

Step-by-step explanation:

Anything raised to the 0 power is 1, but in question 1 the negative is outside the parenthesis, so it makes it -1.

5 0

3 years ago

What is the value of X if 9^x^-^1-2=25?

nadezda [96]

Answer:

$\frac{5}{2}$

Step-by-step explanation:

First, add two to both sides to get $9^{x-1}=27$

There are two ways to solve this from here

Think about what power you would have to raise 9 to to get to 27. $9^{\frac{1}{2}}$ = 3 and $3^3=27$ . So, multiplying the powers (because it is a power to a power) you get $9^{\frac{3}{2}}=27$ . This means that $x - 1 = \frac{3}{2}$ or x = $\frac{5}{2}$ .
Take the log of both sides.

This gives us $\log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x$

4 0

3 years ago

Need help on 2,3,4 thx!

MakcuM [25]

Number 2 is 100 cm

number 3 the height is equal to 5

NUMBER 4 b is equal to 13

7 0

3 years ago