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3 years ago

Does the equation x^2 -4x + y^2 = -3 intersect the x-axis?

2 answers:

5 0

We can rewrite the equation into:
(x-2)^2+y^2=1

Therefore the circle's centre is that (2,0). Since the circle's centre lies on the x axis, the circle must intersect the x-axis.

olya-2409 [2.1K]3 years ago

3 0

Answer:

Yes, because the center is on the x-axis?

Step-by-step explanation:

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33, 25, 42, 25, 31, 37, 46,29,38<br>What is the first quartile of the data?

NISA [10]

answer:
Step by step solution:
1) put the numbers in order:
25,25,29,31,33,37,38,42,46
2) find the median:
25,25,29,31,33,37,38,42,46
33
3) find the median of the first quartile:
25,25,29,31
25 and 29
25+29= 54
54/2
27
Q1= 27

6 0

3 years ago

Find the value of x.

dimaraw [331]

Answer:

$2\sqrt{77}$

Step-by-step explanation:

Use the Pythagorean theorem. $a^{2} +b^{2}=c^{2}$

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

$a^{2} +4^{2} =18^{2}$

Solve for x

$x^{2} =18^{2} -4^{2}$

$x^{2} =308$

x= $\sqrt{308}$

$x=2\sqrt{77}$

5 0

2 years ago

in a church, the ratio of adults to children is 6 to 11. if there are 306 people in the church, how many children are there?

serg [7]

Answer:

198

Step-by-step explanation:

If the ratio of adults to children is 6:11, then 6/17 of the people are adults and 11/17 of the people are children.

11/17 × 306 = 198

There are 198 children.

7 0

3 years ago

Factor the trinomial below. x2 – 2x – 35 A. (x – 5)(x + 7) B. (x – 5)(x – 7) C. (x + 5)(x – 7) D. (x + 5)(x + 7)

Sophie [7]

c. (x + 5)(x - 7) use the FOIL method.

x² + 5x - 7x - 35

x² + (5x - 7x) - 35 collect like terms.

x² - 2x - 35

hope that helps, God bless!

3 0

3 years ago

Read 2 more answers

What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?

PtichkaEL [24]

The value of 'k' in the quadratic Equation $4x^{2}+kx+4=0$ having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>

Quadratic equations are the polynomial equations of degree 2 in one variable of the type $f(x) = ax^{2} + bx + c = 0$ where a, b, c, ∈ R and a ≠ 0.
The standard form of a quadratic equation is $ax^{2} + bx + c = 0$ .