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If 6x + 9y C 15 = C6, what is the value of C2x C 3y + 5?
FILL BLANK If 6x + 9y C 15 = C6, what is the value of C2x C 3y + 5?View AnswerAnswer: 2 Explanation: The first expression, 6x + 9y C 15, is C3 times the second expression, C2x C 3y + 5 (multiply each term in the second expression by...
What is the length of line AB?
In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH. What is the length of line AB?A . 5B . C . D . E . View AnswerAnswer: C Explanation: Line AB is perpendicular to line BC, which makes triangle...
If 2a 2 + b = 10 and C (b/4 + 3a) = 11, what is the positive value of a?
FILL BLANK If 2a 2 + b = 10 and C (b/4 + 3a) = 11, what is the positive value of a?View AnswerAnswer: 3 Explanation: Solve 2 a 2 + b = 10 for b : b = 10 C 2 a 2 . Substitute (10 C 2 a...
If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC?
If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC? A . 40 square unitsB . 80 square unitsC . 80π square unitsD . 160 square unitsE . 160π square unitsView AnswerAnswer: B Explanation: The circumference of a circle is...
If p < 0, q > 0, and r > p, then which of the following must be true?
If p < 0, q > 0, and r > p, then which of the following must be true?A . p + r > 0B . rp < rqC . pr < rqD . r + q > qE . p + r < r + qView AnswerAnswer: E Explanation:...
The expression is equivalent to:
The expression is equivalent to:A . 5/7B . x + 5C . (x + 5) / (x + 7)D . C5 / (2x C 7)E . (2x C 15) / (4x C 21)View AnswerAnswer: C Explanation: Factor the numerator and denominator and cancel like factors: (x 2 + 2x C...
The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?
FILL BLANK The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?View AnswerAnswer: 24 Explanation: If the height of the prism is h,...
If 30% of r is equal to 75% of s, what is 50% of s if r = 30?
If 30% of r is equal to 75% of s, what is 50% of s if r = 30?A . 4.5B . 6C . 9D . 12E . 15View AnswerAnswer: B Explanation: If r = 30, 30% of r = 0.30 × 30 = 9. 9 is equal to 75%...
How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?
How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?A . The area is tripled.B . The area is six times larger.C . The area is nine times larger.D . The area remains the same.E . The area cannot...
The expression can be reduced to:
The expression can be reduced to:A . 1.B . C . x + 5.D . E . View AnswerAnswer: D Explanation: Factor the numerator and denominator of the fraction: (x 2 + 5x) = x × (x + 5) (x3C 25x) = x × (x + 5) × (x C...
