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2 years ago

What is the inequality shown?

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

7 0

It shows the interval

[-2,8) or -2≤x<8

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

AnnZ [28]

Answer:

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

Step-by-step explanation:

we know that

The general form of the equation of a circle is

$x^{2} +y^{2}+ Dx + Ey + F=0$

where D, E, F are constants

step 1

Find the radius of the circle

Remember that the distance from the center to any point on the circle is equal to the radius

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$(-2,1)\\(-4,1)$

substitute the values

$r=\sqrt{(1-1)^{2}+(-4+2)^{2}}$

$r=\sqrt{(0)^{2}+(-2)^{2}}$

$r=2\ units$

step 2

Find the equation of the circle in standard form

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

In this problem we have

center ( -2,1)

radius r=2 units

substitute

$(x+2)^{2} +(y-1)^{2}=2^{2}$

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

Step 3

Convert to general form

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

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4 years ago

User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e

Whitepunk [10]

$\frac{1}{10}+\frac{1}{4}+\frac{1}{5}+\frac{2}{15}= \\ \\ \frac{1 \times 6}{10 \times 6}+\frac{1 \times 15}{4 \times 15}+\frac{1 \times 12}{5 \times 12}+\frac{2 \times 4}{15 \times 4}= \\ \\
\frac{6}{10}+\frac{15}{60}+\frac{12}{60}+\frac{8}{60}= \\ \\ \frac{41}{60}$

The answer is A.

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4 years ago

If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found

Goshia [24]

(24ba^2)/(8ab^2)=3a/b=width

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4 years ago

A system of equations is shown. 3x+4y=30 3x+5y=33. What is the value of y in the solution to the system of equations

Yuliya22 [10]

Answer: y Is equal to 3 And x Is equal to 6

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4 years ago

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Theos mom bought an eight pack of juice boxes for 4 dollars find the unit rate

riadik2000 [5.3K]

Answer:

$0.50 for a pack of juice.

Step-by-step explanation:

You are finding the unit rate of the cost of each unit, or one box of juice. In this case, there is 8 juice boxes in the pack, which costs you $4. Divide 4 with 8:

4/8 = 1/2 = 0.5

$0.50 is the cost per pack of juice.

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3 years ago