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To find the slope of a line that passes through two points, use the formula: slope (m) = (y2 - y1) / (x2 - x1). For points (10, 9) and (1, 2), the slope is 7/9.
Multiplication is a mathematical operation where a number is added to itself a certain number of times. For example, 3 × 4 means you have 3 groups of 4, which equals 12.
Multiplication problems for 5th graders often involve two-digit numbers or word problems. Try solving 23 x 45 or a scenario like, 'If each box holds 12 apples and you have 15 boxes, how many apples do you have in total?'
To solve equations for y, first isolate y by undoing any addition or subtraction, then divide by the coefficient of y. For example, in 3y = 27, divide both sides by 3 to find y.
Long division involves dividing a large number by a smaller one through a series of steps: divide, multiply, subtract, and bring down. This method allows you to find how many times the divisor fits into the dividend.
To find the slope between two points, use the formula m = (y2 - y1) / (x2 - x1). For the points (-14, -13) and (30, 74), the slope is 87/44.
To find the midpoint of two points, average their x-coordinates and y-coordinates. For points A (x₁, y₁) and B (x₂, y₂), the midpoint is ((x₁ + x₂)/2, (y₁ + y₂)/2).
To find the distance between two points on a coordinate plane, use the distance formula derived from the Pythagorean theorem. Subtract the x and y coordinates, square the results, add them, and take the square root of the sum.
To find the distance between two points, use the distance formula: d = √((x2 - x1)² + (y2 - y1)²). For points (0, 5) and (-5, -6), calculate the differences and apply the formula.
To find the distance between two points, like (2, 4) and (5, 5), use the distance formula: √[(x2 - x1)² + (y2 - y1)²]. For these points, the distance is √10 units.
A function in math is a rule that assigns each input exactly one output. This means for every value you put into the function, you will get one specific result.
To solve an inequality, first identify the line's equation in slope-intercept form (y = mx + b). For a dashed line, use '<' or '>' to represent the inequality, and determine the shaded region to finalize your solution.
To solve for y in simple equations like 3y = 27, isolate y by performing the opposite operation. For 3y = 27, divide both sides by 3 to find y = 9.
To solve for y in a linear equation, isolate y by performing inverse operations. For example, in the equation 3y = 27, divide both sides by 3 to find y = 9.
To solve for y in algebra equations, you typically need to isolate y on one side of the equation. Start by undoing any operations applied to y, such as division or multiplication.
Significant figures are essential in math for indicating precision in measurements. To practice, try identifying sig figs in numbers and performing calculations while adhering to sig fig rules.
To convert the price of land from CAD to USD per square mile, first convert the price from CAD to USD using the exchange rate, then convert the area from square kilometers to square miles. Finally, divide the USD price by the area in square miles.
To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For instance, dividing 4.8 x 10^0 by 7.65 x 10^5 results in approximately 6.27 x 10^-6.
Derivatives in calculus measure how a function changes as its input changes. They represent the slope of the tangent line at any point on a graph, indicating the instantaneous rate of change.
To solve a linear inequality, start by clearly defining your variables. Use substitution to check if your values meet the inequality. For example, with 5y + 10s ≤ 200, substituting y = 6 and s = 8 shows that 110 participants meet the requirement.
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