Express cos 1 00 ∘ cos 7 0 ∘ + sin 1 00 ∘ sin 7 0 ∘ as a trigonometric function of a single angle.

Need an artist designed a badge for a school club. figure abcd on the coordinate grid below shows the shape of the badge: the badge is enlarged and plotted on the coordinate grid as figure jklm with point j located at (2, -2) and point m is located at (5, 4). which of these could be the coordinates for point l? a. (2, 4) b. (8, 4) c. (5, 1) d. (5, 7)

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

What is the value of x in the equation7x+2y=48 when y=3