Answer:
-7√5
Step-by-step explanation:
I'll transcribe your verbal question into a symbolic one as best I can:
-2√20 - √125
Note how √20 = √4*√5 and √125 = √25 *√5. Thus,
your -2√20 - √125, after we've factored √5 out of both terms, becomes
-2(2)√5 - 5√5, or -2√5 - 5√5, which combines to form
-7√5 (answer)
Step-by-step explanation:
If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.
Answer: B
I am 95% sure the answer is C
The least common denominator of 10 and 15 is 30. It's easiest to use trial and error to find the LCD. In this case, just multiply both numbers by 2 and see if that works. Since 15 doesn't go into 20, I tried multiplying 15 by 2 instead, and got 30, which is divisible by 2. If that doesn't work, move on to multiplying them by 3, then 4 four, and so on. However, in this case, it did work, so, since you multiplied 15 by two to get 30, multiply 7 by two to get the fraction 14/30. Then, since you multiplied 10 by 3 to get 30, multiply 2 by 3 to get 6/30. Then, add the two together to get 20/30 and simplify the fraction to 2/3.
2/10 + 7/15 Given.
6/30 + 14/30 LCD.
20/30 Add.
2/3 Simplify.
Answer:
see below
Step-by-step explanation:
Plot the points on the given graph. The ones that fall in on a solid line at the edge of the doubly-shaded area, or fall in the doubly-shaded area, are part of the solution set.
(0, 4) on the dashed line — not a solution
(-2, 4) on red line in blue area — solution
(0, 5) in doubly-shaded area — solution
(–2, 7) in doubly-shaded area — solution
(–4, 1) in blue area — not a solution
(–1, 1) on red line outside blue area — not a solution
(–1.5, 3.5) in doubly-shaded area — solution
