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3 years ago

What is the solution set of x2 – 10 = 30x?

Mathematics

2 answers:

kobusy [5.1K]3 years ago

3 0

Answer:

15+sqrt(235), 15-sqrt(235)

Step-by-step explanation:

X^2-30x-10=0

Use quadratic formula (b+-sqrt(b^2-4(a)(c)))/(2(a))

a=1, b=-30, c=-10

lesantik [10]3 years ago

3 0

Answer:

Step-by-step explanation:

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A backpack is normally $64.99 but is discounted ti $45.49. What percent of the original does Maria pay?

Setler [38]

Answer:30%

Step-by-step explanation:

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2 years ago

What set of reflections would carry triangle ABC onto itslelf?

riadik2000 [5.3K]

<h3>Answer: Choice A</h3>

y axis, x axis, y axis, x axis

============================

Explanation:

Reflecting an object over the y axis twice will have it end up in its starting position. The same can be said for the x axis as well. It doesn't matter that the x axis reflections aren't grouped next to each other, nor the y. So in a sense, two x axis reflections undo each other, so do the y axis reflections, and we end up with the same image as shown in the diagram.

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3 years ago

X² + y² = 8

ohaa [14]

Answer:

$(2,2)~ \text{and}~ (-2,-2)$

Step by step explanation:

$x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\$

$\text{Hence,}~ (x,y) = (\pm2, \pm 2)$

3 0

2 years ago

What is the circumference of a circular swimming pool with a diameter of 6 ½ feet? (use 22 over 7 as pi)

trapecia [35]

Answer:

10.21 feet.

Step-by-step explanation:

circumference of circle with diameter d is given by $\pi d$

where r is the radius of the circle.

_____________________________

given

diameter = 6 1/2 = 13/2 feet

\thus, circumference of circle is calculated as following

$circumference = \pi *13/2 = 22/7 * 13/2\\circumference = 11*13/7*2 = 143/14 = 10.21$

Thus, circumference of given circle is 10.21 feet.

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2 years ago

Brett is installing a gravel path along the diagonal of a rectangular garden. The garden measures 3

NISA [10]

Answer:

The answer is C, First you must find the length of the diagonal gravel path and you can use Pythagorean Theorem to do this. 24^2+32^2=c^2 and solve for c which will get you 40 feet. Now, solve for the area of the path by multiplying 40*2 (2 feet wide) which will get you an area of 80 square feet. Multiply 80 by 3.5 and then the answer is $280. Hope this helped you :)

Step-by-step explanation:

3 0

3 years ago