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2 years ago

A circle whose center is at (1, -3) passes through (7, 5).

Mathematics

1 answer:

IgorC [24]2 years ago

7 0

Answer:

10 units

Step-by-step explanation:

Length of the radius of the circle will be equal to the distance between the center of the circle and the point through which it passes.

Therefore,

Length of radius

$= \sqrt{(1 - 7)^{2} + {( - 3 - 5)}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + ( - 8)^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units$

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Solve for x x^2+3x<28

Klio2033 [76]

X² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0

the zeros will be at x = -7 and x =4

∴ the solution of inequality
x ∈ (-7,4)

See the attached figure

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2 years ago

Please help asap solve x^4+5x^2+4=0

const2013 [10]

Answer:

$x=\pm i\text{ or }x=\pm2i$

Step-by-step explanation:

So we have the equation:

$x^4+5x^2+4=0$

Let's let u be equal to x². So:

$u^2+5u+4=0$

Factor:

$(u+1)(u+4)=0$

Zero Product Property:

$u+1=0\text{ or } u+4=0$

Subtract:

$u=-1\text{ or }u=-4$

Replace:

$x^2=-1\text{ or }x^2=-4$

Take square root:

$x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4$

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$x=\pm i\text{ or }x=\pm2i$

7 0

2 years ago

The graph shows the relationship between the amount of time that a backpacker hikes and the distance traveled.

julsineya [31]

Answer:

The points represent that 5 miles were hiked in 3 hours.

Step-by-step explanation:

So, lets go over what we need to know.

The x coordinates is the time.

The y coordinates is the miles.

We have (3, 5)

This is (x, y)

x = 3, and y = 5. Considering what we know above, the time is 3 hours, and the miles is 5.

To fill in the boxes, it asks "Blank miles are hiked in blank hours"

We know 5 miles are hiked in 3 hours.

So the fill in for the first part is 5, and the fill in for the second part is 3.

Hope this helps!

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2 years ago

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zimovet [89]

The answer is he needs 7.5 pizzas but you can’t do that so you round up to 8 pizzas

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2 years ago

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Write 6.2 as a fraction and in word form.

nevsk [136]

6.2:

fraction: .2 = 0.20 = 20/100

fraction: 6 20/100

Word form: six point two

two and five hundredths

fraction: 2 5/100

decimal form 2.05

hope this helps

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2 years ago

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