Try this solution:
Step-by-step explanation:
1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.
2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).
x₀=6/2=3;
y₀= (4ac-b²)/4a; ⇒ y₀= -16.
It means, the coordinates of the vertex are (3;-16).
First start by writing th equation y=mx+b then because we know the slope (m) is perpendicular to the other line we can find it. so it would be the negative reciprocal to -13 which is 1/13 then you can use the slope and the x and y point and sub them into the equation to find the b value
y=3 x=4 m=1/13
3=1/13*4+b then solve for b
3=4/13+b
3-4/13=b
2.69=b
the write out the equation
y=1/13x+2.69
Answer:
1) b= 39.5
2) c= 3.6
3) a=19
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing side length.
"C" is the hypotenuse. Pythagorean Theorem: a^2+b^2=c^2
1) 11^2+b^2=c^41
121+b^2=1681
121-121+b^2=1681-121
b^2=1560
b= 39.5
2) 2^2+3^2=c^2
4+9=c^2
13=c^2
c= 3.6
3) a^2+9^2=21^2
a^2+81=441
a^2+81-81=441-81
a^2=360
a=19
Hope this helps!
Answer: x = 3.05
Step-by-step explanation:
The picture shows the graphic solution using technology.
Verifying the approximate solution found on the graph.
x = 3.05
0.5x³ - 4 = 3x + 1
0.5(3.05)³ - 4 = 3(3.05) + 1
0.5*28.373 - 4 = 9.2 + 1
14.2 - 4 = 10.2
10.2 = 10.2 (ok)