tomtom

478 Questions
15 Answers

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coordinates

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

tomtom 24 апр. 2024 г.

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coordinates

Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.

tomtom 24 апр. 2024 г.

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Coordinates

Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$. Find the length PQ.

tomtom 24 апр. 2024 г.

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coordinates

Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
The line is y = x + 3, and A = (7,1).

tomtom 24 апр. 2024 г.

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help with coordinates

The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.

tomtom 24 апр. 2024 г.

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Help geometry

In triangle PQR, M is the midpoint of \overline{QR}. Find PM.

tomtom 10 апр. 2024 г.

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Need help

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

tomtom 10 апр. 2024 г.

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Help trapezoid

Trapezoid $ABCD$ is inscribed in the semicircle with diameter $\overline{AB}$, as shown below. Find the radius of the semicircle. Find the area of ABCD.
PQDC is a square. прочитайте больше ..

tomtom 10 апр. 2024 г.

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Help plz

Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find прочитайте больше ..

tomtom 10 апр. 2024 г.

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Constant term

Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.

tomtom 31 мар. 2024 г.

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System

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

tomtom 31 мар. 2024 г.

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Coefficient

Expand (x^2 + 1/x)*(x + x^4)^3.

tomtom 31 мар. 2024 г.

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Expand

Expand (x^2 + 1/x)*(x + x^4)^3.

tomtom 31 мар. 2024 г.

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counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find прочитайте больше ..

tomtom 30 мар. 2024 г.

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counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find прочитайте больше ..

tomtom 30 мар. 2024 г.

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help geometry

An isosceles triangle has side lengths $8$ cm, $10$ cm and $10$ cm. The longest side of a similar triangle is $20$ cm. What is the perimeter of the larger triangle, in centimeters?

tomtom 30 мар. 2024 г.

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Algebra

Let a_1, a_2, a_3, \dots be a sequence. If
a_n = a_{n - 1} + a_{n - 2}
for all n \ge 3, and a_{11} = 4 and a_{10} = 1, then find a_6.

tomtom 25 мар. 2024 г.

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Algebra

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 4 hours and 36 minutes, but when there is a wind blowing from Penthaven to Jackson at 40 miles per hour, the trip takes 5 hours. How many прочитайте больше ..

tomtom 25 мар. 2024 г.