Matematika Kelas 8

The value of x that satisfies the equation 7x - 11 = 10 is 3. To find this value, we can solve the equation by isolating x. Adding 11 to both sides of the equation gives us 7x = 21. Dividing both sides by 7, we find that x = 3.

The explanation for the given correct answer is that the Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. Therefore, it is true that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

The question is asking for the number of diagonal planes in a cube. A diagonal plane is a plane that passes through the diagonal of the cube, connecting opposite vertices. In a cube, there are 6 faces, and each face can be considered as a diagonal plane. Therefore, the correct answer is 6.

The constant term in the equation y = 2x - 3 is -3. This means that when x is equal to 0, the value of y will be -3. The constant term represents the y-intercept, which is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at the point (0, -3).

The statement is false because the measure of an inscribed angle (sudut keliling) is always half the measure of the central angle (sudut pusat) that intercepts the same arc. Therefore, the measure of the inscribed angle cannot be twice the measure of the central angle.

Since line p is perpendicular to line q, the product of their gradients is -1. Given that the gradient of line q is 1/3, the gradient of line p can be calculated by finding the reciprocal and negating it. Thus, the gradient of line p is -3.

The gradient of a line is the coefficient of x when the equation is in the form y = mx + c. In this case, the equation is already in the form 4x + 2y - 1 = 0. By rearranging the equation, we can isolate y and find that y = -2x + 1/2. Therefore, the gradient (m) is -2.

The given statement "Setiap relasi pasti merupakan pemetaan" translates to "Every relation is definitely a mapping" in English. However, this statement is incorrect. While every mapping is a relation, not every relation is a mapping. A relation can have multiple outputs for a single input, which violates the definition of a mapping. Therefore, the correct answer is False.

The length of the tangent line between two circles is equal to the difference between the radii of the circles. In this case, the radius of the first circle is 11 cm and the radius of the second circle is 5 cm. Therefore, the length of the tangent line is 11 cm - 5 cm = 6 cm. However, the question also states that the distance between the two center points is 20 cm. Since the tangent line connects the two center points, the length of the tangent line is divided into two equal parts, with each part being 6 cm / 2 = 3 cm. Therefore, the length of the tangent line is 3 cm + 3 cm = 6 cm.

The given equation 7x + 3y - 5 = 0 represents the line that passes through the points (2,-3) and (-1,4). This equation is in the standard form of a linear equation, where the coefficients of x and y are 7 and 3 respectively, and the constant term is -5. By substituting the x and y values of the given points into the equation, it can be verified that they satisfy the equation, thus confirming that the equation represents the line passing through those points.