Kelas 8 Latihan Uub (1)

The given question asks for the sum of two expressions: 5a + 4b - 10 and -2a + 3b + 5. To find the sum, we combine like terms. The coefficients of the 'a' terms are 5 and -2, so the sum of these terms is 5a - 2a = 3a. The coefficients of the 'b' terms are 4 and 3, so the sum of these terms is 4b + 3b = 7b. Finally, the constant terms are -10 and 5, so the sum of these terms is -10 + 5 = -5. Therefore, the correct answer is 3a + 7b - 5.

The gradient or slope of a line is calculated by finding the difference in the y-coordinates divided by the difference in the x-coordinates of two points on the line. In this case, the given points are (3, -2) and (5, 6). The difference in the y-coordinates is 6 - (-2) = 8 and the difference in the x-coordinates is 5 - 3 = 2. Therefore, the gradient is 8/2 = 4.

The gradient of a line is determined by the coefficient of x in the equation. In this equation, the coefficient of x is -4. The gradient is calculated by dividing the coefficient of x by the coefficient of y. So, -4 divided by 6 gives us -2/3. Therefore, the correct answer is 2/3.

The given expression is a perfect square trinomial. The expression can be factored as (y - 5)(y - 5) because when we expand this expression using FOIL method, we get y^2 - 10y + 25, which is the original expression. Therefore, the correct answer is (y - 5)(y - 5).

The given expression is a combination of terms with variables x and y. To simplify the expression, we can combine like terms by adding or subtracting their coefficients. In this case, we have -2x and 4y as like terms, so we can combine them to get -2x + 4y. The constant terms 7 and -3 can also be combined to get 4. Therefore, the simplified form of the expression is -2x + 4y + 4.

The equation of the line passing through the points (2, 3) and (-1, 0) can be found using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, which can be calculated as (change in y)/(change in x).

Slope = (3 - 0)/(2 - (-1)) = 3/3 = 1

Next, we can substitute the slope and one of the given points into the equation to find the y-intercept. Using the point (2, 3):

3 = 1(2) + b
3 = 2 + b
b = 3 - 2
b = 1

Therefore, the equation of the line passing through the points (2, 3) and (-1, 0) is y = x + 1.

The given expression is a difference of squares, where a^2 - 49 can be factored as (a + 7)(a - 7).

The given answer {(2 , -1), (1 , -1), (0 , -1), (-1, -1)} is the correct answer because it represents a mapping or relation between the input values and the corresponding output values. In this mapping, all the input values have the same output value of -1, which means that each input value is related to the output value of -1. This is evident from the given set of ordered pairs, where the second element of each pair is always -1. Therefore, this set of ordered pairs represents a valid mapping or relation.

The relationship between every child and their hometown is not a one-to-one correspondence because multiple children can come from the same hometown.

The given expression is subtracting 6m + 3n + 8 from 2m - 5n - 3. To subtract, we change the signs of the terms being subtracted and then combine like terms. Therefore, the correct answer is - 4m - 8n - 11.