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3 years ago

What must be the length of ZY in order for ZY to be tangent to circle X at point Y? 14 units 15 units 16 units 17 units

Mathematics

2 answers:

Travka [436]3 years ago

3 0

Answer:

The answer is 15 units!!

Step-by-step explanation:

$17^{2} -8^{2} = 225\\\sqrt{225} =15$

Alina [70]3 years ago

3 0

Answer:

15 units

Step-by-step explanation:

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(01.01 LC)Which two temperatures have a sum of 0 degrees Celsius?

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Find the area of the parallelogram that has a base of 2 1/2 feet and a height of 1 1/4 feet

blagie [28]

Answer:

3 1/8 ft²

Step-by-step explanation:

The area of a parallelogram is equal to the product of its base and its height.

b × h

2.5 × 1.25

= 3.125

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4 years ago

A) The hypotenuse of a right angled triangle is 15 cm. Taking the

Anastasy [175]

a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.

=) 15^2 = x^2 + y^2

That is the relation

b) area of triangle = 1/2 x height x base

=) 1/2 * x * y = 30

=) xy = 15cm

3 0

3 years ago

Find the value of c so that (x-5) is a factor of the polynomial p(x)

liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

$p(x) = x^3 + 2x^2 + cx + 10$

The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's

$q(x)= ax^2 + bx + k$

$p(x) = (x-5)q(x)$

$x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k$

Equating respective coefficients,

$a=1$

$b-5a = 2$

$k - 5b = c$

$-5k = 10$

so we get

$b = 2 + 5 = 7$

$k = 10/-5 = -2$

$c = k - 5b = 2 - 5(7)= -37$

Answer: -37

Check:

$(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark$

7 0

3 years ago