Answer:
The slope is 1 and the y intercept is 1
Answer and Step-by-step explanation:
Since we know that lines <em>l</em> and <em>m</em> are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
<u>Subtract 7 from both sides.</u>
116 = 2x
<u>Now, divide both sides by 2.</u>
58 = x
<u>So, the value of x is 58.</u>
<u></u>
<u></u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
<h3>
Answer: n = -11</h3>
=========================================================
Explanation:
Since x-2 is a factor of f(x), this means f(2) = 0.
More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
So if we plugged x = 2 into f(x), we'd get
f(x) = x^3+x^2+nx+10
f(2) = 2^3+2^2+n(2)+10
f(2) = 8+4+2n+10
f(2) = 2n+22
Set this equal to 0 and solve for n
2n+22 = 0
2n = -22
n = -22/2
n = -11 is the answer
Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10
Plug x = 2 into that updated f(x) function to find....
f(x) = x^3+x^2-11x+10
f(2) = 2^3+2^2-11(2)+10
f(2) = 8+4-22+10
f(2) = 0
Which confirms our answer.
Answer:
6.28 cm
Step-by-step explanation:
The formula for the circumference of a circle with radius r is C = 2*pi*r.
If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is
C = 2(3.14)(1 cm) = 6.28 cm
Answer:
158.33
Step-by-step explanation:
