To factor x^2 + 7x + 10, we look for two numbers that multiply to 10 and add to 7. The numbers 5 and 2 work, so the factored form is (x + 5)(x + 2).

To solve x + 3 > 5, subtract 3 from both sides.\n1. x > 2.

Subtract 3 from both sides: x > 7 - 3.\nThus, x > 4.

Subtract 5 from both sides: x > -3.

The slope-intercept form is y = mx + b.\nHere, m = -1 and b = 4, so the equation is y = -x + 4.

The phase shift of y = sin(x - C) is C. Here, C = π/4, so the phase shift is π/4 to the right.

Using the roots, we can write the equation as (x - 1)(x + 3) = 0, which expands to x^2 + 2x - 3 = 0.

First, simplify the equation: 2x^2 = 8, so x^2 = 4. The roots are x = ±2.

Step 1: Subtract 3 from both sides: 2x > 4. Step 2: Divide by 2: x > 2.

Step 1: Subtract 5 from both sides: 2x > -2. Step 2: Divide by 2: x > -1.

Subtracting 2 from both sides gives x > 1.

Step 1: Subtract 5 from both sides: x > -3.

Step 1: Subtract 2x from both sides: 2x + 1 ≥ 9. Step 2: Subtract 1: 2x ≥ 8. Step 3: Divide by 2: x ≥ 4.

Step 1: Subtract 3x from both sides: x - 1 < 2. Step 2: Add 1 to both sides: x < 3.

Step 1: Subtract 7 from both sides: -2x < -6. Step 2: Divide by -2 (reverse inequality): x > 3.

Step 1: Factor: (x - 2)(x - 3) > 0. Step 2: Test intervals: solution is (3, ∞) ∪ (-∞, 2).

Step 1: Factor the inequality: (x - 3)(x + 3) > 0. Step 2: The solution is outside the roots: (-∞, -3) ∪ (3, ∞).

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

A square has all sides equal and all angles equal (90 degrees).

Two triangles are similar if their corresponding sides are in proportion. The sides 4 cm, 6 cm, and 8 cm are double the sides of the original triangle.

Similar triangles have equal corresponding angles, which is the defining property of similarity.

All quadrilaterals have four sides, which is the defining property of a quadrilateral.

Congruent triangles have the same shape and size, which implies they also have the same area and perimeter.

Similar triangles have equal corresponding angles and proportional corresponding sides.

Two triangles are congruent if they have the same side lengths. The triangle with sides 3 cm, 4 cm, and 5 cm is congruent to itself.

A triangle is congruent if it has the same side lengths. The triangle with sides 5 cm, 12 cm, and 13 cm is congruent to itself.

A triangle with sides 5, 12, and 13 is congruent to itself.

Triangles are congruent if they have the same side lengths. Triangle DEF has the same side lengths as triangle ABC.

Triangles are congruent if they have the same side lengths. Triangle DEF has the same side lengths as triangle ABC.

By the Angle-Side-Angle (ASA) postulate, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.