x = 8
Explanation:
AE = 3x - 4
EC = x + 12
SInce diagonals AC and DB intersect at E
it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC
AE = EC
3x - 4 = x + 12
collect like terms:
3x - x = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
Answer:
I believe the answer is 10 units.
(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:

Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.
(b) The equation of the tangent line is then <em>y</em> = 9.
Answer:
#1. 8.27
#2. 36
#3. 22
#4. 7.25
Step-by-step explanation:
#1: 60÷11=5.45 ----> 5.45×16=<u>87.27</u> <This is a non-terminating decimal>
#2: 60÷5= 12 ----> 12×3= <u>36</u>
<u></u>
#3: Games- 35 Won- 14 Lost- 21
In 1 Game Manchester won = 14/35 = 2/5 games in 54 Game Manchester won = 54 x 2/5 games
= 108 / 5
= 21.6
<u>= 22</u>
<u></u>
#4: 6 : 91 ⇒ n : 110
6(110) ⇒ 91(n)
660 ⇒ 91n
660/91 ⇒ n
<u>7.25=n</u>
<u></u>
Answer:
Step-by-step explanation:
y + 2 = 7(x - 2)
y + 2 = 7x + 14
y = 7x + 12