Answer:
z = 4/5
Step-by-step explanation:
3(5z + 7) = 33
Divide each side by 3
3/3(5z + 7) = 33/3
5z+7 = 11
Subtract 7 from each side
5z+7-7 = 11-7
5z = 4
Divide by 5
5z/5 = 4/5
z = 4/5
9514 1404 393
Answer:
x-intercept: -14/9
y-intercept: 7
Step-by-step explanation:
This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.
-9x = 14 . . . . . set y=0
x = -14/9 . . . . divide by -9
__
To find the y-intercept, set x=0 and divide both sides by the coefficient of y.
2y = 14 . . . . set x=0
y = 7 . . . . . . divide by 2
The x-intercept is -14/9; the y-intercept is 7.
Answer:
1a. 8
1b. AB & BC
1c. AC
2. 
miles
3. NO
Step-by-step explanation:
1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.
A²+6²=10²
A²+36=100
A²=64
A=
A=8
1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.
1c. The hypotenuse is the longest side AC
2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.
6²+4²=X²
36+16=52
=X
3. 15²+17²=19²
514=361
not possible
so it is not a right triangle
Substitution
-2x+8=x^2-9x+18
x^2-7x+10=0
Factoring, we get
(x-5)(x-2)=0
x=5, x=2
If x equals 5,
y=-2(5)+8=
-10+8=
-2
Therefore, we derive our first solution:
<h2><u><em>
x=5,</em></u></h2><h2><u><em>
y=-2</em></u></h2>
Now we solve for our second x
If x=2,
y=-4+8=
4
Therefore, we derive our second solution:
<h2><u><em>
x=2</em></u></h2><h2><u><em>
y=4</em></u></h2>
<u><em></em></u>
-Hunter
The <span>cubic model that best fits this data is </span><span>y = 0.0000872x^3 - 0.00989x^2 + 0.403x + 1.192</span>
