Solve the equation x2 + 64 = 100Group of answer choices
x = ±6
x = ±2
x = ±√164
x = 10 ±√8
Answers
Answer:
x = ± 6
Step-by-step explanation:
Given
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take the square root of both sides )
x = ± = ± 6
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1/3 and 3/4
Answers
IF that isn't an answer choice,
Is correct as well
The second would be:
1/3 and 3/4 would turn into 4/12 and 9/12 because 3 can go into 12 four times, so you do 1 x 4 which gives you a fraction of 4/12. You do the same with 3/4 too.
Answers
The square part should be easy, it's only base * height. In this case, the base is 6 and the height is 5. You don't want the answer so that's the farthest I'll go with that =)
Then, there are the triangles.
Right triangles are easy to find area of in that they are simply a rectangle split diagonally, so the area of a triangle is simply base * height over 2, and since the triangles are the same measure, the base would be half the base of the square, which is 3. The height is 2.
Don't forget that there are two triangles, though, so a shortcut in this problem would be to solve one triangle for base * height and then leave off the divide by two step, since there are two triangles that have the same area, and so you would end up just multiplying by 2 in the end, thereby cancelling out the divide by 2 step entirely.
Hope that helped! =)
Answers
It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)
Answers
Answers
The price of the robotics kits after both discounts is $25.5
What is a discount price?
The price at which something is sold, after reducing some amount from the regular price, is called discount price.
Given that, you have a coupon for an additional 25% off the price of any sale item at the store. the store has put a robotics kit on sale for 15% off the original price of $40.
Here, two discounts are given, at 25% and at 15%
Therefore, the selling price (price after the discounts) = 40x(100-25)/100x(100-15)/100
= 40x75/100x85/100
= 51/2
= 25.5
Hence, the price after the discounts is $25.5
For more references on discount price, click;
#SPJ1
40 * 15% =
= 40 * 15/100 =
= 40 * 3/20 =
= 2 * 3/1 =
= 2 * 3 =
= 6 [dollars]
So the kit costed $40 - $6 = $34 after the first general discount. Now the question is if the coupon relates to the original price or to the lowered price. We'll do both:
If it relates to the original price, we need to find how much is 25% of $40. We can do it in mind - it's $10. So with two discounts the price would be $40 - $6 - $10 = $24.
However, if it relates to the lowered price, we need to find how much is 25% from $34:
34 * 25% =
= 34 * 25/100 =
= 34 * 1/4 =
= 8.5 [dollars]
So the final price in such a situation would be $40 - $6 - $8.5 = $25.5.