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2 years ago

7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.

Mathematics

1 answer:

nikitadnepr [17]2 years ago

5 0

Answer:

Centre is (4,2) and radius is 10

Step-by-step explanation:

The circle equation is of form,

=> (x - a)² + (y - b)² = r²

where the centre is (a,b) and radius is 'r'.

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Solve the equation < or >? +10 ? +13

TiliK225 [7]

Answer:

the answer is <

Step-by-step explanation:

13 is bigger than 10.

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2 years ago

(i3)^2(-i0)^3(3i2)^4

VLD [36.1K]

The answer is 0 is this if i stands for a square root.
The answer is -81 if i is a variable.

3 0

2 years ago

Which point is a solution to the linear equality y<-1/2x+2

Effectus [21]

Answer:

There are many points that are solutions to the equation, but one of which would be (1, 2)

Step-by-step explanation:

In order to tell if they are a solution, we use the values in the inequality and see if it results in a true statement.

y < -1/2x + 2

1 < -1/2(1) + 2

1 < -1/2 + 2

1 < 3/2 (This is a true statement)

Since it is a true statement, we know it is a solution.

5 0

3 years ago

Tara is saving for an overseas trip. Her taxable income is usually about $20000. She estimates that she will need $5000 for the

wolverine [178]

An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.

Given that:

$Earnings = \$20000$ --- normal earnings

$Amount = \$5000$ ---- the amount needed

From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.

Let the additional amount be x.

So, the equation that calculates the amount needed (after tax) is:

$x(1 - 19\%) = 5000$

Express as decimal

$x(1 - 0.19) = 5000$

$x(0.81) = 5000$

Make x the subject

$x = \frac{5000}{0.81}$

$x = \$6173$

Hence, she needs to make an extra of $6173 to save $5000

Read more about taxable income at:

brainly.com/question/17347618

4 0

2 years ago

The area of the base of the cone is 64π square millimeters, and the area of the lateral surface is 112π square millimeters. Find

baherus [9]

Answer:

Radius = 8 mm

Slant Height = 14 mm

Step-by-step explanation:

Base of a cone is a circle.

Area of circle is given as $A=\pi r^{2}$

Where $r$ is the radius.

Given that

$A = 64 \pi\ mm^2\\\Rightarrow \pi r^{2} = 64\pi \\\Rightarrow r^{2} = 64\\\Rightarrow r = 8\ mm$

Hence, radius is 8 mm.

Formula for Lateral Surface Area of a cone:

$LSA = \pi rl$

Where $r$ is the radius and

$l$ is the slant height of cone

Given that $LSA = 112 \pi\ mm^2$

$\Rightarrow 112\pi = \pi \times 8 \times l\\\Rightarrow 8 \times l = 112\\\Rightarrow l = 14\ mm$

Hence, slant height is 14 mm

6 0

2 years ago