All Questions ⁺⁰235702 Questions

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help

Before factoring using ax2+bx+c, two other types of factoring should be tested.
a) Explain how these two types may simplify your work.

hi1234 Feb 15, 2024

0

18

2

+1678

Algebra

Let
a + ar + ar^2 + ar^3 + \dotsb
be an infinite geometric series. The sum of the series is $4.$ The sum of the cubes of all the terms is $10.$ Find the common ratio.

wiseowl Feb 15, 2024

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17

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+1678

Algebra

Compute
\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}

wiseowl Feb 15, 2024

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20

1

+0

If ∠F and ∠G are complementary angles and ∠F is 26, what is the measure of ∠G?

If ∠F and ∠G are complementary angles and ∠F is 26°, what is the measure of ∠G?

jimmynewtron Feb 15, 2024

0

27

0

+1678

Algebra

In class, we derived that
\frac{1}{n(n + 1)} = \frac{1}{n} - \frac{1}{n + 1}.
Fill in the blanks to make a true equation:
\frac{5x}{(x - 1)(x^2 + 2)(x + 7)^3)} = \frac{A}{x - 1} + \frac{Bx + C}{x^2 + 2} + \frac{D}{x + 7} read more ..

wiseowl Feb 15, 2024

0

30

1

+1533

Polygon Angles

In a certain regular polygon, the measure of each interior angle is $2$ times the measure of each exterior angle. Find the number of sides in this regular polygon.

parmen Feb 15, 2024

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20

1

+1533

Regular Hexagon

A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = \frac{3}{2},$ then find the side length of the hexagon.

parmen Feb 15, 2024

-1

3

1

+1443

Tangent

Let $X$, $Y$, and $Z$ be points on a circle. Let line $XY$ and the tangent to the circle at $Z$ intersect at $W$. If $\overline{WY} \perp \overline{WZ}$, then find $YZ$.

blackpanther Feb 15, 2024

-2

37

0

+1443

Circles

Chords $\overline{AB}$ and $\overline{CD}$ of a circle meet at $P$. If $AP = 3 \cdot PB$, then what is $AB$?

blackpanther Feb 15, 2024

-3

22

1

+1443

Chords

Let $\overline{TU}$ and $\overline{VW}$ be chords of a circle, which intersect at $S$, as shown. Find $SW$.

blackpanther Feb 15, 2024

-2

31

0

+1443

Circle

A circle is centered at $O.$ The tangent to the circle at $P$ is extended to $Q.$ Line segment $\overline{QS}$ intersects the circle at $R.$ Find the area of the circle.

blackpanther Feb 15, 2024

0

27

1

+688

Polynomials

Find t if the expansion of the product of 2x^3 + x^2 - 3x + 5 and x^4 - 7x^3 + tx^2 - 11x + 15 has no x^2 term.

booboo44 Feb 15, 2024

0

32

1

+688

Help algebra

There exists a polynomial $(x) and a constant 7k such that
(x^2 - 2x - 5) f(x) = x^4 - 2x^3 + kx^2
What is k?

booboo44 Feb 15, 2024

0

2

1

+688

Coefficient

What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?

booboo44 Feb 15, 2024

-1

33

1

+0

Transformation of Trigonometric Functions

xXValeXx Feb 15, 2024

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34

2

+0

Transformation of Trigonometric Functions

xXValeXx Feb 15, 2024

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2

1

+688

Coefficient

What is the coefficient of x^2 in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 8x + 7x + 1)?

booboo44 Feb 15, 2024

0

4

2

+1768

Angles

Two lines $p$ and $q$ intersect at $X$. The angle between lines $p$ and $q$ is $45^\circ$. Let $A$ be a point inside the $45^\circ$ angle formed by $p$ and $q$. Let $B$ be the reflection of $A$ through line $p,$ and let $C$ be the reflection read more ..

bader Feb 15, 2024

0

39

0

+1768

Help Geometry

Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{1}{5}$ is applied to triangle $XYZ,$ to obtain triangle $X'Y'Z'.$ Let $A$ be the area of the region that is contained in both triangles XYZ and X'Y'Z'. read more ..

bader Feb 15, 2024

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27

1

+1768

Square

In the diagram below, P is a point inside square ABCD. Find x.

bader Feb 15, 2024

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