HRS - Ask. Learn. Share Knowledge. Logo

Questions in mathematics

[Done] Simplify: $30\left(\frac{5}{6}+\frac{4}{5}\right)=$

[Done] Parallelogram ABCD is translated (x +3, y-2) and then rotated 90° about the origin in the clockwise direction. Complete the table to show the locations of A", B", C", and D" after both transformations. A B D A(-5,1) A? B(-4, 3) B? C(-1,3) C? D(-2, 1) D? A" (-1, 2), B" (1, 1), C" (1, -2), D" (-1,-1) OA" (1,-2), B" (-1,-1), C" (-1, 2), D" (1, 1) OA" (-2, -1), B" (-1, 1), C" (2, 1), D" (1,-1) OA" (1, 1), B" (-1, 2), C" (-1, -1), D" (1,-2) 9 9

[Done] A circle has a diameter of 12 units, and its center lies on the $x$-axis. What could be the equation of the circle? Check all that apply. $(x-12)^2+y^2=12$ $(x-6)^2+y^2=36$ $x^2+y^2=12$ $x^2+y^2=144$ $(x+6)^2+y^2=36$ $(x+12)^2+y^2=144

[Done] Triangle DEF has coordinates D(-3,-2), E(-1,-2), F(-2,-4). The triangle is translated so its image has coordinates D'(1,-4), E'(3,-4), F(2, -6). Which statement shows the rule for the translation? A. (x, y)→(x-4, y-2) B. (x, y)→(x-4, y+2) C. (x, y)→(x+4, y+2) D. (x, y)→(x+4, y-2)

[Done] Determine the equation of a circle with a center at $(-4,0)$ that passes through the point $(-2,1)$.

[Done] The diagram below is drawn on a one-centimeter grid. Work out the area of the shaded triangle.

[Done] The expression $\left[\left(2^3 \cdot 2^{-5}\right)^3:\left(2^{-4} \cdot 2^2\right)^2\right]^2 \cdot 2^4$ has a value: A) $1$ B) $2$ C) $1 \text { / } 8$ D) $4$ E) $1 / 2$

[Done] Find the coordinates of the point on the curve [tex]$y=2 x^2-x+1$[/tex] at which the tangent is parallel to the line [tex]$y=3 x+4$[/tex].

[Done] [tex]\frac{4 n-3}{6 n+1}=\frac{2 n-1}{3 n+4}[/tex]

[Done] $\theta$ is an angle in a right-angled triangle. $\tan \theta=\frac{28}{47}$ What is the value of $\theta$ ? Give your answer to 1 d.p.