prove algebraically that the straight line with the equations x=2y+5 is a tangent to the circle with the equationx^{2} +y^{2} =5

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7); m=-3/2

In a class, there are 12 girls. if the ratio of boys to girls is 5: 4 how many boys are there in the class

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a diamond or heart. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability of randomly selecting a diamond or heart or club. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability of randomly selecting queen or club. (type an integer or a decimal rounded to three decimal places as needed.)