Answer:
15 y 8
Step-by-step explanation:
y = x - 7
x² + y² = 289
sustituir: x² + (x - 7)² = 289
distribuir: x² + x² - 14x + 49 = 289
sustraer + simplificar: 2x² - 14x - 240 = 0
dividir: x² - 7x - 120 = 0
x² - 15x + 8x - 120 = 0
(x - 15)(x + 8) = 0
x = 15, x = -8 --> x ≠ -8 porque -8 no es naturales
sustituir: y = 15 - 7
simplificar: y = 8
5 horses with a combined weight of 6,240 pounds
horse trailer has a limit of 8,000 pounds of horse and tacks.
Find the weight of tack, t, for each horse that Cari can allow.
5t + 6,240 < 8,000
5t + 6,240 < 8,000
- 6,240 -6,240
5t < 1,760
<span>÷5 ÷5 </span>
t < 352
Each horse can carry a tack that weighs no more than 352 pounds.
Any tack that weighs beyond <span>352 </span>pounds is will exceed the maximum carrying capacity of the horse trailer.
No, in order for the lines to be parallel, the slopes have to be the same, it does not matter what the slopes are as long as they are the same slope. The lines could still be parallel if the slopes are negative.
This answer is not correct
<span>C. Use objects to model the problem. Take 8 pieces of play money. Take away 1 piece for the coffee and 2 pieces for the bagel.</span>
Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
