Answer:
70 could represent the total number of points nolan can earn on the test
Step-by-step explanation:
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex 
.
The vertex form of a quadratic is 
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare to , you should see that 
.
So the vertex (h,k) is (-4,-7).
Answer: ❄︎ ✭ ❄︎
The cube root of 123556 is: ✩ ✶ ✲
49.807.... ★ ✮
It is irrational, which means it goes on forever. ✧ ☆
Step-by-step explanation: ✺ ✹
✰ ✴︎
✴︎ ❃ ✴︎ ❈ ✴︎ ✩ ✦ ✣
<span>The correct answer for this question is that Alice Correa will have spent $6.07 on the cloth overall. This can be worked out through first considering what 5% of the original price will be, so $5.79 / 100 = 0.0579 x 5 = $0.28, so $5.79 + $0.28 = $6.07</span>
