All Questions ⁺⁰237313 Questions

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Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

LiIIiam0216 Jun 9, 2024

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25

1

+2729

Algebra

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

LiIIiam0216 Jun 9, 2024

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31

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+1000

Algebra

Let $x$ and $y$ be real numbers. If $x^2 + 3y^2 = 18$, then find the maximum value of $x + y$.

Hi6942O Jun 9, 2024

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41

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+1000

Algebra

Let $c$ be a real number. What is the maximum value of $c$ such that the graph of the parabola $y = -6x^2$ has at most one point of intersection with the line $y = 5x+c?$

Hi6942O Jun 9, 2024

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24

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+1000

Algebra

Find all real values of $p$ such that
(x+1)(x-2p)
has a minimum value of 0 over all real values of $x$.

Hi6942O Jun 9, 2024

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+1000

Algebra

Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___

Hi6942O Jun 9, 2024

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22

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+1000

graph

The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)
The parabola passes through (-2,8), (0,0), and (2,8).

Hi6942O Jun 9, 2024

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37

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+2729

help coordinates

Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k.
If A = (7,-11), B = (10,13), and C = (18,-22), then find the read more ..

LiIIiam0216 Jun 9, 2024

0

31

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+363

Algebra

Fill in the blanks to make the equation true. ( _x + _) ( _x + _) = _x 2 + _x + _(− 35, − 8, − 5, 1, 3, 4, 6, 7, 12)

Lilliam0216 Jun 9, 2024

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39

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+2729

Algebra

One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
x^2 - 2x + 1
x^2 - 4x - 4
x^2 + 6x - 9 read more ..

NotThatSmart ●

LiIIiam0216 Jun 9, 2024

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34

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+2729

Algebra

For what real values of $c$ is $x^2 - 8x - 4x + c + x^2 - 20x + x^2$ the square of a binomial?

NotThatSmart ●

LiIIiam0216 Jun 9, 2024

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25

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+2729

Algebra

Find all real values of $s$ such that $x^2 + sx + 144 - 63 + x^2 - 25 - 18$ is the square of a binomial.

LiIIiam0216 Jun 9, 2024

0

48

2

+2729

Algebra

Find all solutions to the equation $x^2 - 11x - 42 = -2x + 10 - x^2 - 5x + 16$.

Maxematics ●●

LiIIiam0216 Jun 9, 2024

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24

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+1000

Graph

Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.

Hi6942O Jun 9, 2024

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40

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+1000

Algebra

Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.

Hi6942O Jun 9, 2024

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28

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+1000

Algebra

Let $a$ and $b$ be complex numbers. If $a + b = 1$ and $a^2 + b^2 = 2,$ then what is $a^3 + b^3?$

Hi6942O Jun 9, 2024

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27

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+1000

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 $a_{11} = 1$ and $a_{10} = 4,$ then find $a_6.$

Hi6942O Jun 9, 2024

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35

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+1000

Algebra

Evaluate $a^3 - \dfrac{1}{a^3}$ if $a - \dfrac{1}{a} = 0$.

Hi6942O Jun 9, 2024

0

35

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+1000

Algebra

Let
f(x) = \sqrt{x - \sqrt{x}}.
Find the largest three-digit value of $x$ such that $f(x)$ is an integer.

Hi6942O Jun 9, 2024

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28

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+2729

Geometry

In triangle $ABC,$ $AB = 15,$ $BC = 9,$ and $AC = 10.$ Find the length of the shortest altitude in this triangle.

LiIIiam0216 Jun 9, 2024

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36

1

+2729

Geometry

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle CAD = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

LiIIiam0216 Jun 9, 2024

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+2729

Geometry

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.

LiIIiam0216 Jun 9, 2024

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