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2 years ago

Find one value of x that is a solution to the equation: (x²+4)²-11(x²+4)+24=0 x=?

Mathematics

1 answer:

Ierofanga [76]2 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago

Which word in the sentence is the predicate nominative?

Tems11 [23]

d soon is the answer

..............

8 0

3 years ago

(b) Eric removed 72 fish from his pond over a period of 9 days. He removed the same number of

Amanda [17]

Answer:

-8

Step-by-step explanation:

72 ÷ 9 = 8

The fish are being taken out, so negative.

I hope this helps!

pls ❤ and mark brainliest pls!

8 0

2 years ago

the triplex theater has 3 different movies tonight: bucket of fun, bozo the great, and pickle man. each movie has an early and l

serious [3.7K]

Bucket of fun. bozo the great. pickleman
/ \ / \ / \
day night day night day. night

theres three movie choices

5 0

3 years ago

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli

Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

$\frac{ \frac{6}{5} }{ \frac{4}{5} }$

This is the same as

$\frac{6}{5} \div \frac{4}{5}$

To divide two fractions, we multiply by the reciprocal of the second fraction.

$\frac{6}{5} \times \frac{5}{4}$

$\frac{3}{1} \times \frac{1}{2}$

This simplifies to:

$\frac{3}{2} = 1 \frac{1}{2}$

The unit rate is 1.5 cords per hour

3 0

2 years ago